当前位置：
＞＞＞设函数f(x)=-cos2x-4tosinx2cosx2+2t2-6t+2(x∈R)（1）当t=1时，求f..
设函数f(x)=-cos2x-4tosinx2cosx2+2t2-6t+2(x∈R)（1）当t=1时，求f（x）的最小值；（2）若t∈R，将f（x）的最小值记为g（t），求g（t）的表达式；（3）当-1≤t≤1时，关于t的方程g（t）=kt有且只有一个实根，求实数k的取值范围．
题型：解答题难度：中档来源：不详
（1）当t=1时，f（x）=-cos2x-2sinx+2-6+2=sin2x-2sinx-3=（sinx-1）2-4，故当sinx=1时，f（x）有最小值等于-4．（2）若t∈R，∵f（x）=-cos2x-2tsinx+2t2-6t+2=sin2x-2tsinx+2t2-6t+1=（sinx-t）2+t2-6t+1，且-1≤sinx≤1．当t＜-1时，则当sinx=-1时，f（x）取得最小值g（t）=（-1-t）2+t2-6t+1=2t2-4t+2．当-1≤t≤1时，则当sinx=t时，f（x）的最小值g（t）=t2-6t+1．当t＞1时，则当sinx=1时，f（x）的最小值g（t）=（1-t）2+t2-6t+1=2t2-8t+2．综上，g（t）=2t2-&4t&&+&2&，&&&t&＜-1t2-&6t&+&1&&&，&-1≤t&≤12t2-&8t&+2&，&&&t&＞1．（3）当-1≤t≤1时，关于t的方程g（t）=kt 即 t2-6t+1=kt．由题意可得&关于t的方程 t2-6t+1-kt=0 在[-1，1]内有且只有一个实根，①当△=（6+k）2-4=0时，应有-1≤6+k2≤1，解得& k=-4，或k=-8．若 k=-4，方程有两个相等的根t=1，若 k=-8，方程有两个相等的根t=-1．②当△=（6+k）2-4＞0时，即 k＜-8，或k＞-4时，令h（t）=t2-6t+1-kt，由题意可得& h（-1）h（1）=（k+8）（-k-4）＜0，解得 k＜-8，或 k＞-4．综合①②可得，当k≥-4，或k≤-8&时，关于t的方程g（t）=kt有且只有一个实根．故所求的实数k的取值范围为（-∞，-8[∪[-4，+∞）．
马上分享给同学
据魔方格专家权威分析，试题“设函数f(x)=-cos2x-4tosinx2cosx2+2t2-6t+2(x∈R)（1）当t=1时，求f..”主要考查你对&&两角和与差的三角函数及三角恒等变换&&等考点的理解。关于这些考点的“档案”如下：
现在没空？点击收藏，以后再看。
因为篇幅有限，只列出部分考点，详细请访问。
两角和与差的三角函数及三角恒等变换
两角和与差的公式：
倍角公式：
半角公式：
万能公式：
三角函数的积化和差与和差化积：
三角恒等变换：
寻找式子所包含的各个角之间的联系，并以此为依据选择可以联系它们的适当公式，这是三角恒等变换的特点。三角函数式化简要遵循的"三看"原则:
(1)一看"角".这是最重要的一点,通过角之间的关系,把角进行合理拆分与拼凑,从而正确使用公式.(2)二看"函数名称".看函数名称之间的差异,从而确定使用的公式.(3)三看"结构特征".分析结构特征,可以帮助我们找到变形得方向,常见的有"遇到分式要通分"等.
(1)解决给值求值问题的一般思路:①先化简需求值得式子;②观察已知条件与所求值的式子之间的联系(从三角函数名及角入手);③将已知条件代入所求式子,化简求值.(2)解决给值求角问题的一般步骤:①求出角的某一个三角函数值;②确定角的范围;③根据角的范围确定所求的角.
发现相似题
与“设函数f(x)=-cos2x-4tosinx2cosx2+2t2-6t+2(x∈R)（1）当t=1时，求f..”考查相似的试题有：
265298746168887108777320449673250665用一元一次方程（1）-5/2（3y+2)=10/1-2/3(y-1) (2) 2/t-3+3/6-t=1+4/1++2t
iudollco2378
（用一元一次方程解答）注意是一元一次方程!回答得好的话加分哦!10×0.45＋10×0.8=12.5＜14 张老师家5月份用水超过20吨设为x吨 10
为您推荐：
其他类似问题
扫描下载二维码of 102,100 files from June 1996 to 26 June 2016
on 1 USB &(44.3GB). Cryptome .
(Search site with
for most not
Bitcoin: 1P11b3Xkgagzex3fYusVcJ3ZTVsNwwnrBZ
Additional items on
Four Nixon PDBs Which Mention NSA
August 25, 2016
Six Nixon PDBs Which Mention Watergate
August 25, 2016
Navy Release of Comsec to Contractors
August 23, 2016
NYPD Violated Rules of Political Investigations
August 23, 2016 (5MB)
FISCR Opinion Certified Question of Law
August 23, 2016
FISC Certification of Question of Law to FISCR
August 23, 2016
Cyber Security Courses for Officials and Veterans August 23, 2016
offsite Canadian CSEC Work on Tor (, )
August 23, 2016
Guccifer 2 Hacks DCCC Pennsylvania for
August 21, 2016 (18MB)
Cryptome revolt against the gaze
August 21, 2016
offsite Who might be behind recent Shadow Brokers leak
August 21, 2016
The Moscow Coup 25 Years On
August 20, 2016
DoD Way Forward on IT and Cybersecurity
August 20, 2016
Nick Denton Condo Lease, Non-Compete, Unimoda
August 19, 2016
NSA FOXACID SSO CNO PMR etc 130 pp /The Intercept August 19, 2016 (10MB)
NSA FULLMAN 6 pages /The Intercept
August 19, 2016
NSA Snowden Releases Tally Update - *7,200 Pages
August 19, 2016
UK Bulk Spying Review
August 19, 2016
DNI: Sec For Protecting Domestic Spy Facilities
August 18, 2016
EQGRP Auction Files Alleged NSA Malware
August 17, 2016 (248MB)
Snowden Tweets on Alleged NSA Malware Hack
August 16, 2016
Guccifer 2 Hacks DCCC Florida Primaries for
August 16, 2016 (18MB)
NSA Malware Scripts via WikiLeaks
August 15, 2016
Diane Roark Files Returned, with Exceptions
August 15, 2016
Dod Spying on US Persons Factsheet
August 13, 2016
Guccifer 2 Hacks DCCC for
August 13, 2016
DoD Spying on US Persons (83% deleted)
August 13, 2016
NSA SID Today 256 files, 367 pages /The Intercept August 12, 2016 (8MB)
NSA Snowden Releases Tally Update - *7,064 Pages
August 12, 2016
Kim Dotcom et al Lose Appeal
August 12, 2016
Christopher Rokos Takedown Notice
Autust 12, 2016
DNI Releases FISA Sec 702 Minimization Procedures August 12, 2016 (9MB)
DoD Spying Manual 8 August 2016
August 11, 2016
DSD Adobe Acrobat Redaction Capability
August 10, 2016
NIST Updates Personal Identity Verification Guide August 10, 2016
NIST RFI: Current-Future States of Cybersecurity
August 9, 2016
DNI Covert HUMINT Inside the US
August 9, 2016
DNI Covert HUMINT Outside the US
August 9, 2016
DNI Releases Files on Argentina Dirty War 1,080pp August 9, 2016 (45MB)
CIA Sets Feds Access to Secret Historical Records August 8, 2016
POTUS Guidance for Drone Killings, Captures
August 7, 2016
Shannon: A Mathematical Theory of Cryptography
August 6, 2016
Shannon: Communication Theory of Secrecy Systems
August 6, 2016
Rudesill: Coming to Terms with Secret Law
August 6, 2016
FBI NSL to Get Triennial Reviews
August 5, 2016
Top USG Lobbyists for Internet, 3 for LinkNYC-Spy August 5, 2016
FCC Outage Reporting for 60 US Submarine Cables
August 5, 2016
NSF Workshop on Formal Methods for Security
August 4, 2016
CityBridge Paid Congress $90K for LinkNYC-Spy
August 4, 2016
Letter to NY Times on LinkNYC Vast Spy Array
Aurust 4, 2016
CityBridge Paid Officials $192K for LinkNYC-Spy
August 4, 2016
DNI Releases 6 FOIA Documents 269 pages
August 3, 2016 (17MB)
NAP Exploring Encryption and Government Access
August 2, 2016
LinkNYC Spy Kiosk Excavation for Power and Signal August 2, 2016
updated LinkNYC Spy Kiosks Installation Videos
August 2, 2016
O f f s i t e
Canadian CSEC Work on Tor (, )
August 23, 2016
Who might be behind recent Shadow Brokers leak
August 21, 2016
Telling Data Stories: CIA’s Dr. Calvin Andrus
August 20, 2016
Rotor Browser - Independent Onion Routing
August 19, 2016
Critique of Alleged NSA Malware Gambit
August 17, 2016
Weaponising Social Part 3: IOError Resurrection
August 17, 2016
Facing Down the Panopticon
August 12, 2016
DNI Releases Video: Supply Chain Risk Management
August 12, 2016
CIA Officer Henry Mau, Current COS in Zagreb
August 11, 2016
US, Europe, UK mil aircraft movements Jan2014-now August 9, 2016
Dark Mirror: Edward Snowden-American Surveillance August 4, 2016
Olympic Safety and Security
August 3, 2016
CIA Officer Keith Gainey
August 3, 2016
CIA Officer Jennifer Krzos
August 3, 2016
Dronelaw: Everything About Drones
August 2, 2016
Surveillance Industry Index
August 1, 2016
Deborah Natsios, Cryptome:
(±) False Tallies-the Prisoner’s Dilemma?
February 6, 2016
Voir Dire: Interrogating the Juridical City
August 16, 2015
Meet Me At Your Riser - Cryptome Video
August 16, 2015
Common Lines of Flight Towards the Open City
June 15, 2015
Bowery Ghost Ships Launched - Natsios-Cryptome
May 14, 2015
Note: Bots, spiders and siphons downloading more than 100 files per day are
blocked. Python, Wget and Bot Not, Thanks. Bots are vile bandwith wasters.
O f f s i t e
Cryptome Interview by Pit Schultz 16-0205
The Whistleblower Architects: surveillance, infrastructure, and freedom
of information according to Cryptome (part 2)
The Whistleblower Architects: surveillance, infrastructure, and freedom
of information according to Cryptome (part 1)
Tecno|Grafia[s] Interviews Cryptome
Text Only Version
Corrected Wikipedia entry for Cryptome, bloated, erroneous, biased, sensationlist
junk deleted:
NSA Suite A Release Progress
July 31, 2016
Russia Doesn't Like CloudFlare
July 30, 2016
PSFR Mobile Application Single Sign-On
July 30, 2016
DoD Special Command Positions
July 30, 2016
WikiLeaks Embargo Agreement for Partners
July 27, 2016
Prez Policy Directive 41 US Cyber Incidents Coord July 26, 2016
Sample DNC Leak Emails with Headers
July 26, 2016
National Intelligence University Campus
July 25, 2016
ASEAN-China Agree on Conduct in South China Sea
July 25, 2016 (1.7MB)
Cryptome Report to NYC DOITT on LinkNYC Beta Pt 1 July 24, 2016
Cryptome Report to NYC DOITT on LinkNYC Beta Pt 2 July 24, 2016
updated LinkNYC Spy Kiosks Installation Videos
July 24, 2016
LinkNYC-Spy Kiosk Installation Outside Cryptome
July 23, 2016
updated LinkNYC Spy Kiosks Installation Videos
July 23, 2016
Masterspy Declassifies 3 Reports on FISA Sect 702 July 21, 2016
Oligarchs Go Shopping for Media via RSF
July 21, 2016 (23MB)
Tactical Tech: New Linux Digital Security Guides
July 21, 2016
Images Want to Be Free!
July 21, 2016
How to Steal $1 Billion with Banks Compliance
July 20, 2016
DNI: EO12333 AG Guidelines for PCLOB July 2016
July 20, 2016
2,445,405 Domains That Use CloudFlare Nameservers July 19, 2016 (13MB)
DNI ICD 310 – Clandestine HUMINT FI-CI Inside US
July 19, 2016 (3.1MB)
DNI ICD 311 – Clandestine HUMINT FI-CI Inside US
July 19, 2016 (2.5MB)
DNI ICPG 900.3 – Mission Posture Change Reporting July 19, 2016 (1.8MB)
Cloudflare reCAPTCHA De-anonymizes Tor Users
July 18, 2016
Navy Releases FOIA Report on Iran Boat Capture
July 18, 2016 (106MB)
Lucky Green Leaves Tor, to Shut Tonga Bridge
July 17, 2016
FBI-CIA Letter to SSCI on Saudi role in 9/11
July 15, 2016
Redacted 9/11 Report (858 pages)
July 15, 2016 (6MB)
House Intel Committee 28 Pages of 9/11 Report
July 15, 2016 (5MB)
William Arkin: Thoughts on Incidents in Nice
July 15, 2016
Guccifer 2.0 Releases 8 DNC Documents
July 13, 2016 (11MB)
NARA Muses WikiLeaks Releases (521 pages)
July 11, 2016 (17MB)
DHS and FBI Muse WikiLeaks Releases
July 11, 2016
USG Inadvertently Disclosed SCI in Bergdahl Case
July 9, 2016
National Grid Electric Utility Company
July 9, 2016
West 135th Street Natural Gas Pumping Station NYC July 9, 2016
DoD Defense Innovation Unit Experimental
July 9, 2016
offsite Whistleblower Architects: Cryptome (part 2)
July 7, 2016
FISC Misc 13-08 Notice of Supplemental Authority
July 6, 2016
Obama Order on US Forces Civilian Casualties
July 6, 2016
Chilcot Inquiry on Iraq (6,417 pages)
July 6, 2016 (31MB)
Hillary Clinton Protection 2016
July 5, 2016
FBI Clears Clinton Emails - Free Guccifer!
July 5, 2016
offsite Whistleblower Architects: Cryptome (part 1)
July 5, 2016
Declaration of the End of Government Secrecy
July 4, 2016
House Homeland Committee Encryption Primer
July 4, 2016
USG-v-Ross Ulbricht, USG Brief Against Appeal
July 1, 2016 (25MB)
O f f s i t e
DNC Leak 93,000 Names and Email Addresses
July 31, 2016
Cryptome Interview by Pit Schultz 16-0205
July 28, 2016
DNC 22,456 Emails (99% Junk, Criminal Later Maybe July 26, 2016
Feds Seize Kickass Torrents Piracy Domain Names
July 21, 2016
Tracking Torrents Hiding Behind Cloudflare
July 21, 2016
Arkin Archives: Why You Can’t Keep Secrets
July 21, 2016
CIA Officer Mary Claire Peroutka PNG from Moscow
July 19, 2016
CIA Officer Daniel L. Van Dyken PNG'd from Moscow July 10, 2016
Whistleblower Architects: Cryptome (part 2)
July 7, 2016
Whistleblower Architects: Cryptome (part 1)
July 5, 2016
The Microbiome Security Agency
July 5, 2016
Alphabet’s money-spin, terrorist-foil, kiosks
July 4, 2016
Terrorists are the health of secret keepers
July 4, 2016
White House: Technology and the Future of Cities
July 4, 2016
Secrecy: A Brief Account of American Experience
July 4, 2016
Bilderberg Conference Reports
July 3, 2016
Premiere Full Video
by dnCRYPTOME: (±) False Tallies-the Prisoner’s
Cryptome welcomes documents for publication that are prohibited by governments
worldwide, in particular material on freedom of expression, privacy, cryptology,
dual-use technologies, national security, intelligence, and secret governance
-- open, secret and classified documents -- but not limited to those. Documents
are removed from this site only by order served directly by a US court having
jurisdiction. No court order
any order served will
be published here -- or elsewhere if gagged by order. Bluffs will be published
if comical but otherwise ignored.
Mail: Cryptome, 251 West 89th Street, New York, NY 10024
Telephone for messages: 212-873-8700
Mirrors of the Cryptome Archive should be accessed with caution, none have
been authenticated by Cryptome and sigs can be faked to hide tampering. There
is growing censor-tamper-implant-bowdlerize-redact-tag-track of archives,
torrents, drops, shares, wikis, disclosure sites.
Cryptome disavows mirrors of its archive due to tampering with files, hashes,
signatures and implant insertion.
, a Russian virtual currency
, is not affiliated with Cryptome.org.
Note: Bots, spiders and siphons downloading more than 100 files per day are
blocked. Python, Wget and Bot Not, Thanks. Bots are vile bandwith wasters.
-----BEGIN PGP SIGNED MESSAGE-----
Hash: SHA256
18 September 2015
Key compromise is related to our architectural work on NYC No. 7
Subway Line Extension, recently opened. Project had hundreds of
designers from around the world with access to files. Security of
the project is primary and its design is not public. Extent of
subway system security and file protection is restricted to
need to know.
JYA and Cryptome passphrases remain secure. Key revocation done
for caution.
-----BEGIN PGP SIGNATURE-----
Version: PGP Desktop 9.6.3 (Build 3017)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-----END PGP SIGNATURE-----
17 September 2015
-----BEGIN PGP SIGNED MESSAGE-----
Hash: SHA256
JYA and Cryptome passphrases are secure. Plaintext discovered
not related to Cryptome, with alternative to decrypt: original not
-----BEGIN PGP SIGNATURE-----
Version: PGP Desktop 9.6.3 (Build 3017)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-----END PGP SIGNATURE-----
-----BEGIN PGP SIGNED MESSAGE-----
Hash: SHA256
15 September 2015
I have learned today that all PGP public keys of John Young
&& and Cryptome && have been
compromised.
The keys have been revoked today.
Two new keys have been generated today:
John Young 15-0915 && 0xD87D436C
Cryptome 15-0915 && 0x8CD47BD5
This message is signed by the first.
-----BEGIN PGP SIGNATURE-----
Version: PGP Desktop 9.6.3 (Build 3017)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-----END PGP SIGNATURE-----
42C5 436A DEC
3C6B 8CD4 7BD5
-----BEGIN PGP PUBLIC KEY BLOCK-----
Version: PGP Desktop 9.6.3 (Build 3017)
mQINBFX4Z8EBEADV8xBSdPRXJXVQJMIq3Q9calyivnC+9ElgHB6YogNGOse+mirL
0pgaAVEJAKt/b0o+G5fh6IfZp42AXRz22+jaGHNlOibF9QO3+XD60cH8vFuUqeOS
TrKPfsSJ25TxGB1RxbRXNpkfBbgDJPSB82rtuNMLEdcty7ZTy0k6YtG79rcSaHrd
UWG1hwljm9G1UZkvwLus9p+laPfZafS4wgFL4sRvgsI/Z3ekUoe/sAW9x2d5QsOG
lrfkuqvtCDawZPFWdqKDZvwH3QlbN/PViA/1PsLKnspPBL1XfOzTA1j1RuiPGAw3
Qwg9+6t6tNFUtp15HmyCuRH3TJ1tCS/V+SBrI2wtWTLFm+hwUBAFRGSkl1tBJWMC
3QbA9Qc+BmYFfLNZmvI8M5DxeII5eD7MtptKd2isEVlyCGUWGghGrvfTiLjwDJDV
b77DJ6xwcz4gzbly9iiwdGHNhexJfUXJCppeBjh8RFPfWctxotX5+DfIYcZhnFGf
hBqGYfp0NKhC4fg8LmhnuGBE2Df1IhfnIoMWFl53PTkeKWMwhCyeTH7OHnaPDWoD
kJpzU08djDl8wLhXHKZDc/G2SYGG0un7HQ5MU1jCacuCqcOW7ULjja9IACcqE8+r
2Ue7Fmckb7KE4PcE/ilFyjQFWoM2s1FuDRyh+muTyDQ+scG7OH+QOhcEmQARAQAB
tClDcnlwdG9tZSAxNS0wOTE1IDxjcnlwdG9tZUBlYXJ0aGxpbmsubmV0PokChwQQ
AQIAcQUCVfhnzTAUgAAAAAAgAAdwcmVmZXJyZWQtZW1haWwtZW5jb2RpbmdAcGdw
LmNvbXBncG1pbWUHCwkIBwMCCgIZARkYbGRhcDovL2tleXNlcnZlci5wZ3AuY29t
BRsDAAAAAxYCAQUeAQAAAAQVCAkKAAoJEJtVPGuM1HvVt08QAMl1QRd943jnf2rK
CxMBwYiut6v0LFc4j1N5bRcivZCI+d0yCAPHO0x3JAGhoGXUrjDrQdTeS/lySm/u
ZWqwsxoMIIOwWeUEMKcdtJhxfihuX/YuzjjWCa/OTbNIsjgvjQ3VhFZgxxO4Ajdy
1PWigJLU65Mr6Xgm1CDf4YzNKbUQ9YC6mRzxvD+Mvx4CYOloQjpd/2PzP9NWnC7h
EymycreY0a2Hf4Ge3P7n/8lPDLObkeusGxl5JGM/4YwLp9zv6av9msmH+SHzDIA+
pqXYCabYMQ7FkOVl3oM6AaySBFeHf/dx6DwARjqKg7JUO0NsSeD/VekBYlPCaR+D
7r6cuIFMWAQzHEzdBUGFKvYLqv/KczROUKPmTlwx7POL8kMs2z9qRfp7jqvAh4D8
bLZxR9J4WxgTHfJuxdrPHzpqOr3quEpLr9kVFI+FzwJspfFSAHEJQn1NtL6uXsA1
5lAfzNCs5in/KUSreOEST0MIPQCLV3Rw5FOb1j0sqbBsboQhOP+7RCrTDwdZS56x
nee17/YP/FTUTwt2gb4MPpjJfDob70HNp+FatIWVsnRO2K4v1EsVXpx9b7gk6+RY
4FBLr7jJksriAFM1dXemaJFhU+x0oqxcC/ib3LVc3rVJvp4RxJxZq9Shf1x0lOr/
dT1TplIHGWirCGeBw540ImupI5LfiQEiBBABAgAMBQJV+G3qBQMAEnUAAAoJEJcQ
uJvKV618YkMH/AroMFOQqBNUdsVtkgwKUuUmVOTXiG7ZiCJZSlLxEDzbmNdz8sHC
UZ4fF/00pC4snI24B1kwvQNijk4Jl0Ie8EO/yfHNo/h+ixNL0f9fRXk2vVDacR4Y
gyqaqOKbIdtBBxDsKwdg36Los+OAB2mmgyrEofEYZRMdLI1mXE9VdmaTYZ4oS9sE
3PbOGDYpDyUjL7yzIjKp4l83b+yIa62tBCLQQHcNLa9cEauZ+dMUdeOa2QKqkuIh
0s5FH0JfD2oIzZmHTvGDODnEH5dNV2WIc4M1LSPzp2KWbfvz3voyoisJ3hPJxA+9
PssJ1eOvH4SjVnifSYHgCzLOxbR0ZQKBcsW5Ag0EVfhnwwEQALgEi7FESiPxQPOE
KYiTMFFpS3BE3UmdJ771E05zRJ1yik/R1PfkBHDVKdDOoJAy/ufLMLFTZUxoQ6sl
Hfu5FjgXvFvejNLuumcila/v84EnbZxVL+KOhGj7UcAvkUl4Gjg1zut8xKEt1Bfk
SZhTMuUpvu1mPkCHbFHzkXXFi9Gc+fukLzVVcjIz9vGiD9lGJa17jFpka2b+feP4
m5MnqJNCUX0n2Rovt8BKiXCuq4I6R1C3V13A8ydEd4JkXKyh3yWatQKBhesApwGg
ig6ZtFautepb5DnIb+kTgbjebYBetVDUsTx8/uK+RWRZRLrTPAydhYKVJoIpaZyY
xHDMOKBy5waCZoDDCA3OSaUZekF1OHSySs1Pu8lquTDnBDEX234V/KqFmYIsSctI
ik2fcYvzVF7hgFbp23Zp/0v5wqVxwFPUYNMUXaN/FC+aOJrBWeJX6oc7Aui0pTik
CFwOABXjynhTP2u8TsdJ8QSQRSAHTfUHx5SEtiYnIDKbLcCPrLQgWW3ERh5SQtSW
xOm9rjXj8eb69PmcTV+ieY+kGpipEDQYbirsH9pVzvdtNc2Q17HXKlJNBSBctRZv
bk8+lIYN6i+Lo4BWV4uFoE+cBkHk9Ap9NCnyMq/6PY63XCoE1bTl78mai+ciX+Fw
99Z0wTXBFbBLEBIEV7YMEMWhgrtRABEBAAGJBEEEGAECAisFAlX4Z8UFGwwAAADB
XSAEGQEIAAYFAlX4Z8QACgkQm76cTye89fuDvQ//dR9r7IdvYui6+EphSC7/YdBd
yroLfL305yWDVDvhZNx1v1+5FfH2Le4LrMZWqvHR1QRH2+AfFzrMgjMnR0VkRFUU
09cdVSUnySXjAMwuWGXDTVwW7kXe1EpT4OXXIfxMifSpIzvTn6noGpaGqLi+N1eh
B5MjwLr/PJDuatuB+u4+n2TC/v2TEt1tVxsqL5uhA/sxK8O2EIh75ytvK/Cbwqfm
tmXC36ei2ItbTghy8TJY9aRr3HhDoO1YQjEFAoQSWnbtEmUGJ9fdfdqzLYEA5v7S
N5hNDjnSQmgToohKB5Ky7G8yYLnEIi2iaVkBiTRJ++/uJjkk4h+2hg86vyy8vttT
1CEHXPUKeIRfUnvcCYXN7oWOcR0hgz9as/uLwynwNGMQ6btGUTp2bNH5/j/IKpC+
LykJU2AxLOBpLxbIwDcg7kQkGP2P9DMd1+Rlt1Yu/55EWj5p48pnGTZj8qLCBvxj
zC9+4ss2B9W7wdq9W2z6sAYfj115uaySk/cHqrehUKs3AfYLR9lTYuLxBfmBGI77
WqbbjbKa8QztXyMxPzOiAyUgMAXPJsnmnBtC9Ka+/JKdMn0OY8i8k1FiQOcrfnZ9
oGk8FEkqtef/YJrH+EVChhYbAbENMZGHUz98G5b6Czyil+HGa5fdFeiVYuk7WDIN
XczQLTns3GVUZIbHP4UACgkQm1U8a4zUe9Vi2xAAlsZJXv5yZH83djUVAV6zkHp3
qlcvebx6Z20+IRJTyzekLLhAvq2Jrcj2Dhs9iI4lSm+0HBtEjymO9EcY676XvemA
EY+YX/VoRJKcUqLaEYBteuUhvm0lWzVWvJ0e8dsHiGHM4Z3kA/irhEy8ukg2ytbl
Zw7xf6lRMkpjeRPJ298dmPbBjFBhbzYZoJxMlu44Y3cpdrp0mq2bojKVAHdkPkRv
kJ5JreBzs8pDyH9yzy5vb2tK3mv9gm6amDHPPkL5YOYSRdvJBL+jYXQboi5YnmXG
0sbw9CS3iI7PdHBg6LASKti8pAomLtkmKG7/lYNt068XGnKv5igzJD2ZAhQ5muNw
Ai/7lqFffU/mXexht+AN6p33h4FnX3R3d9wN8/ypQywkCyJvnwY949v/k/tsHkmI
fwMLYCoQh+6XIWlQi0zjd5lpPC+4Xy6MPf3Rcf0kKNeehNVrJKJ2sXVWAqg13247
JjzUBEh0/Q52VwCrQ2Cb1q8tDL35nHU3bBUhTZfKIRTAdqyT+CIjAYaLNvJOqLUL
+rkFY0+wgi44WE06DW99Egl5GIHZ6jA5vaMz92XmfWMQylKG97DUZ0KyQbyCkN9M
1QHF+4GLJ5AD142cAGWwc72W2pnKTdlaApPVfI3VOMG3mPPBll7hWV/j09XyGuLY
t4/XWKps0CnZgqRq0BM=
-----END PGP PUBLIC KEY BLOCK-----
John Young 15-0915 && 0xD87D436C
3E3D 39DB CA52 C08C E 4918 FA4E D87D 436C
-----BEGIN PGP PUBLIC KEY BLOCK-----
Version: PGP Universal 2.9.1 (Build 347)
mQINBFX4YvEBEAConK6gJgmiNrn8erAgsKlm3rOoMEJ/Ai1omGfdGo+u06TSlDke
qgqoOp903ki2HAp6Bc0C9R06MAUd2J4WsTWM8VPylJSQGkJeGXohE20y6GLTdnq0
qhwb3yNcD7XkUtdkLslS1tJ0Kk0cNiHHHKGZz1bT73WGo3mq0ZKGCtFsnc+XbEfo
dr7Q4X8aub568CrcGGpNU+nJ1/iLJIDvdpJ8rx3cktyjfmc0cLNmfVH4mlPBaSJ/
WaHMX92LFaM9MV50j3olrwniGHywg3qcia7ToooLbisn7CxdWXItQcC
DDlyia8m0tUgzVB2N765RUnYpsXzUB2gZmYn30goBdqd6ypUWl/9/j5tx4qSKc1a
xeSSv2z+0qu+MG0RJFEncvN6MGks4OE1qvihPp1tS1KHkhQlCO65bIY2FjXt0jiW
EBDDAzBb8Xfvq0w4v4Eq5DQQ+OjBZulHwxa7r1lp/d9CxORXDZsB1cFSLmj5/xgA
Un/WVbCBiHzCGTIvplL3Xf/kNdUt6c1uS4IXJmqfC5GKm3OFZIfjVZilspIksY/r
wBximpAI50PsnglL2a1hL2wu7gFvpFv64Q50i5IO+ap1MIYBXUB1bNPXBY5J2lTG
pR1LfplBjld88W1l0ql8If2J8xidUM1bInVaq8lHmKkQLl+ldPAXpDvNAwARAQAB
tCVKb2huIFlvdW5nIDE1LTA5MTUgPGp5YUBwaXBlbGluZS5jb20+iQKHBBABAgBx
BQJV+GM/MBSAAAAAACAAB3ByZWZlcnJlZC1lbWFpbC1lbmNvZGluZ0BwZ3AuY29t
cGdwbWltZQcLCQgHAwIKAhkBGRhsZGFwOi8va2V5c2VydmVyLnBncC5jb20FGwMA
AAADFgIBBR4BAAAABBUICQoACgkQSRj6Tth9Q2yk2g//YrH74pEPW1QIjPvldE/u
Ku8lauSjmZ/wQ+TtKYuiub1Z5iwQHCl0NgpHpIW7AV2bOiJT2QJk3XPDx4WywNiI
aR4A60VcF+iMw/v2axxEBlpiSeGwFPg0Wi5k9njA4ic9+EfIoP49V5RrvwTRJXiw
y7w8yPgMc9BoNboMC+w9/zHc/LIH1WbNpCFo2d1ENtzVo2W9IP+BV08RAkzilYsN
B5l/DLXpPk6w10h7Qc2DR6xKkKuOeRsSc3nTWL7pdo21vyv9cW/CQmm6nkzNVfrQ
30RkeuA6S1HfzGdHY6RNOFNklSD0oT2CSxqSCfHNHRAQu/SIRalgDmz5JdFVH7Gg
+R420XT8BuEEyEaLj1WVNW9tedqGgRGuoYVVkMtvdukDv42VDYp+KwmPrhgfNgQV
D/O/swEiY8BIt8J2hSzXRgyG4jyEkvlCD7GmLpnbD/XTwA63KhJCoq6lk2saToTd
2aXRZ+IWBoY3v6Kio6J316f3UxMyr86sHSmDGWKX3HBz1JHoJnEG/9Mvseeq4bd4
hwmfJ5igmdXAi19hyZTPobgDHeuVmgyq2KzFSospLpJOmEAzWd+bOdGjSX1R698Q
Dk8LmC5QF2OJnIb2NyLmdCsF/DkAdAeInI7ULk9qGJDspoTX9ztI6LE2dESp+5jp
lPzu2r9jg+qVlpHdlmyKUaCJASIEEAECAAwFAlX4bdEFAwASdQAACgkQlxC4m8pX
rXyZ4Af/eX+WEddfprbZ7YGnNxUA6zfjDznIrJemFzVd9u9GdNYa4tvxFf4rq3Lf
4V91DjlIKMGLSm+n7s2jietFrxqKOipEIFfyNnVeNvWy6xJFmuQZNgTDLwbZJpy8
vUHlwyxhU90Mk3i3GIQjKlCqeq1NdETs1TmzsCROdrGee2ATBA0YVFPjZVhlQAEF
pylfmgq8Gcr1884x+dWvMF60pOFo0pjjRMteq5J0XVuhRkltYv1FDKUva2HXi1/a
oDp4HNEsixfnqbGf2tCxMVaV4JjlxDALaY5xhGKVfnwKKEa5Es38BJy1DwkICY99
c49pAZSFRA+6JjBsn4ZUUA0N4LQRArkCDQRV+GL0ARAA1JOK3kR7jCcXwykgcc/I
H7M7HcJEgqOTzLzPIZkyCJIqtAlZt5RFOc5uuam7yzAmBl+ERaljha1YQV5Bg2xm
kPVch+XFe4QpWxiJ2SDTo7/YL7mSeYZwJ5vGKi40M7Q2R03k1ekuSaCV4oY6k4gP
f1Pq2vrmUazr5Z0q7QLA6b3roIUjoswwDH9G3z5DGYyy4pri3oL4fxWlkzCL01bO
onAVFjIHYtKaC//JOG5lw7p95yh+tS6Gr9cJaS/CzXxyPvrQhs7jkSBLs11nmMuh
omg7pNMqHgFJmROGRIbYTX90VWjsyNpgDHTDTRN3yxaVyIf6YKUZ1dMDREHZB5Uq
JV5MA1bWBv7ujKfClI7BwNHNeSfDXXIji8bbQ0SB7HtDqJx1g9p2unHLoB5joDHm
ytcZzoMnatRP/LIbW0Wf9RogzQf5eKySE+MU+kEgzFVxokhi3mk5u6PiJ1VrX/Ob
lf9gpKgcaOFItzIz+DmZDw2UkFKX1XqkcDeGaVpnS0/QUmAdcu4ckXiMWRg6pPVw
Vitrd6tQ9KUeAiVGlIyZ15Q7M0q7T64q5d5LUd1H2IjzZciRVu0kSEnihRgf14/z
eXP3WR0mej22YcyGOOxm2rVzoXQzjwrj+Q84WM2tJW8zIJuPZoC1yphmEdKzpKnz
M38x2DsPAC+sG/9wADO1QuEAEQEAAYkEQQQYAQICKwUCVfhi9gUbDAAAAMFdIAQZ
AQgABgUCVfhi9QAKCRDD5bdRefgvO+DdD/0fcJ1Lb+cTnD04yZNcgRPWfAIXcKPc
mcG3u+Q0AAg3K4mLznm11vvpEuv+ENY1ykhngNkpZaOYGDI7f3+KyjQ4Y9sSl7Su
IK3rajxcaQoaugNz5+qCZmZWqcbTFV2jPsO/U9/e7Sytn59z4FyR/mgFqSXQMGnt
COspyd2X8GDjtEDZdl8LSEcAMpaMCJbbtKnnAQc95Uyyxr9od5T6GODVeAC64Dug
LZSw7Et3uDqu7SfFg5nJ15tklOl9FPcqyYVsIVSq7/j6SqZkwWFIkfdpZfwMuR6R
CsGz+6viU3qTfxQru3J0sHKxs3tgheg59DsFmk8pEahF2ugxS3//gNslMjA+GyyO
X+lApfCPZJzNOea/4oWZDH40SFvHoO6xKLafHJRl89Y4TCXl+Ym+84f+cY3xHdVJ
HkhDPr7fQZzqzqdFJ/JLh1wCPeBJFZ7s4orlozsdfwlXPtARfrvZ+fp4LK+a8wwF
7p9jEphNF2p+wfsD3ll4ctaH33q1R4whiFcvh17XvE+jmv82y+hjS5sJrKFl2R7L
dYHNUtSBOuOp1jNbQVPtrxXkMraZ5PPX69poRZQySyTMfGCHrVuA/262tSWWZ16u
ZKNxkA0ZiLAlr2Wrpi9kyV5MTQNfVAEJL9WJoUCLdFBepZAx7t+CHgehEzmHcnV2
PuPvmPlCyoDd6QAKCRBJGPpO2H1DbLT9D/oCBEZSiAazm95sPo+939pnIZuJ4CET
XJ/n8t+mnZ1r1bohgBKCZ4/eTakyPMUllVRpzpjjs/HtiyrRtYHa+xhCd5Mjv6TG
1ERo9l9G5bk5lygfBV0amOPeMtO0rXjZrjHP0ujySh2c65dhh4l+UfCr+wLdm8gP
ZEKM2S3om6jpmVShWWIwd0QFDkz2/YQYxpNZdXOccwbXCzg1lVl2ctNu8OfSODTi
2WneojAVtVx1vqFgq/2L/LvDLZ5gt6c0R2TONNx20Y4yt2JMIMmbm2YoSWOPn3Z4
1G6A0goAQ13TLw3ENCcXV49uleYnvtf5txy4fN0lzZ+O8li8HnFBy/EMRp8OmX7j
PoxUAbOl43lamNctrgInMwtEX/XGN0xVEEykMq9ojbrh9F0WgG0vkx3dzmXwezOI
abScHl3qVvu9CeQ5dsLUI33R3W5AOrjrSmFRbDZTV8j0BbL0yNPpdobj+CXqmzMj
SOxFchIW90SpXyGH/DUrNNNntFnmux9GvYPnajzEU8OnsU8d4uaZ8kgzYcxyDAzd
gYo+s9tvUmxvNJG0z/HjJFe46Bgnw6Q/FX5qEAOtfExr+m9lOZ3QaXQvtz/zKC4X
fiMNw6BYfFYp4hPPC5aGQq4jR3efGKPVDR34dRJ8YXGuXXf3vd2dHUhGqUBBi6d7
XBLsZXURSx7hyA==
-----END PGP PUBLIC KEY BLOCK-----
John Young Architect:
Special Inspections:
NYC DoB-Licensed Site Safety Manager
NYC DoB Site Safety Manager 40-Hour and Examination 2016