1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aneli [31]
3 years ago
8

AP Calc AB:

Advanced Placement (AP)
1 answer:
Softa [21]3 years ago
4 0

Differentiate both sides of

2 + 2 sin(<em>x</em>) = 3 tan(<em>y</em>)

with respect to a new variable <em>t</em>, assuming both <em>x</em> and <em>t</em> depend on <em>t</em>, which will involve the chain rule:

d(2 + 2 sin(<em>x</em>))/d<em>t</em> = d(3 tan(<em>y</em>))/d<em>t</em>

d(2)/d<em>t</em> + d(2 sin(<em>x</em>))/d<em>t</em> = 3 d(tan(<em>y</em>))/d<em>t</em>

0 + 2 d(sin(<em>x</em>))/d<em>t</em> = 3 sec²(<em>y</em>) d<em>y</em>/d<em>t</em>

2 cos(<em>x</em>) d<em>x</em>/d<em>t</em> = 3 sec²(<em>y</em>) d<em>y</em>/d<em>t</em>

Now, when <em>x</em> = <em>π</em>/6, <em>y</em> = <em>π</em>/4, and d<em>x</em>/d<em>t</em> = 2, solve for d<em>y</em>/d<em>t</em> :

2 cos(<em>π</em>/6) × 2 = 3 sec²(<em>π</em>/4) d<em>y</em>/d<em>t</em>

d<em>y</em>/d<em>t</em> = 4 cos(<em>π</em>/6) / (3 sec²(<em>π</em>/4))

d<em>y</em>/d<em>t</em> = 4 (√3/2) / (3 (√2)²)

d<em>y</em>/d<em>t</em> = √3/3 = 1/√3

You might be interested in
Please answer fast ;(
Darya [45]
The answer should me d if I’m not mistaken
5 0
3 years ago
Read 2 more answers
Identify ways party leaders can influence members of their party in Congress
patriot [66]
The Speaker decides which bills will be assigned to which committees. This is one way he or she can use party leadership to influence members of their party in Congress. If a wayward member is sponsoring a bill, the Speaker may assign that bill to a committee where the bill is likely to get an unfavorable reception and be killed. Conversely, the Speaker can assign the bill to a safe committee where the bill will receive a favorable reception in exchange for the sponsor’s party loyalty.
6 0
3 years ago
Why does Bob pretend to have certain psychological disorders?
Stells [14]

Bob is just a human like us and feels stuff, its probaly due to his environment and pressures/stress but heck who really knows. Bob is Bob. and that is that.

7 0
3 years ago
Read 2 more answers
Does anyone know how to get out of quick sand when you have a stick in your eye????!!!!!!!!
ioda
Odd question...but, uh...if it helps...grab the stick that's in your eye and pull yourself to safety?
8 0
3 years ago
Read 2 more answers
What is in the inverse of function f(x)=8x+6
mihalych1998 [28]

<em>f</em><em>(</em><em>x</em><em>)</em><em>=</em><em>8</em><em>x</em><em>+</em><em>6</em><em>,</em><em>y</em><em>=</em><em>8</em><em>x</em><em>+</em><em>6</em><em>=</em><em>x</em><em>=</em><em>8</em><em>y</em><em>+</em><em>6</em><em>,</em><em>x-6</em><em>=</em><em>8y</em><em>=</em><em>y</em><em>=</em><em>x</em><em>-</em><em>6</em><em>/</em><em>8</em><em> </em><em>y</em><em>=</em><em>x</em><em>/</em><em>8</em><em>-</em><em>3</em><em>/</em><em>4</em>

8 0
3 years ago
Other questions:
  • What factors are used to calculate the UN's Human Development Index(HDI)?
    12·2 answers
  • Explain the steps by which the united states became involved in world war ii
    12·1 answer
  • Kahulugan at kahalagahan ng national monarchy at mga nation state
    7·2 answers
  • Austin was 9 years old when he was hit by a car while riding his bike on the sidewalk. He broke his arm and leg and hit his head
    7·1 answer
  • many modern western historians have stated that the ""faith in limitless bounty... has been nothing but trouble for the american
    11·1 answer
  • I know the answer but I'm giving free points out :)
    7·2 answers
  • When playing defense you may do which of the following?
    13·1 answer
  • 35 points! Please help! No copy paste and no links! I will also mark you brainliest!
    8·1 answer
  • Anyone wanna talk to me bc all my friends left me and i'm bored
    12·2 answers
  • Magsanay sa paggamit ng iskala.Alamin ang tunay na distansya sa paggamit ng iskala.Sagutin ang mga sumusunod. Isulat ang sagot s
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!