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Viefleur [7K]
3 years ago
8

Jnjnjnninimmmnrthnrthmnhnrhrgh

Advanced Placement (AP)
1 answer:
Bezzdna [24]3 years ago
6 0

Answer:

Same

Explanation:

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The graph of x^2=-2+y+5cosy is shown for y=11
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(a)

We have been given an equation x^{2}=-2+y+5cosy. Upon taking derivative of this equation with respect to x on both the sides, we get:

2x=0+\frac{dy}{dx}+5(-siny)\frac{dy}{dx}\\2x=(1-5siny)\frac{dy}{dx}\Rightarrow \frac{dy}{dx}=\frac{2x}{1-5siny}

(b)

In order to write the equation of tangent line, we need to find the slope of the line. We know that point (3,11) lies on the graph. Therefore, we write the slope of the tangent as:

\text{Slope}=\frac{dy}{dx}=\frac{2(3)}{1-5sin(11)}=1

Therefore, equation of tangent line is:

y-y_{1}=m(x-x_{1})\Rightarrow y-11=1(x-3)\\y-11=x-3\\y=x+8

(c)

We know that slope of tangent is given as \frac{dy}{dx}=\frac{2x}{1-5siny}. The tangent will be vertical when denominator of slope is zero, that is:

1-5siny=0\Rightarrow siny=\frac{1}{5}\Rightarrow y=arcsin(\frac{1}{5})\\y=1.732,1.525, 3.063 \text{ etc.}

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3 years ago
CALCULUS HELP PLEASE! SERIOUS ANSWERS ONLY!
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Answer: D [-1,1]

g^{-1} is the inverse of function g(x).

the inverse equation of g(x) = sin(x):

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using a trig circle with radius 1, we can find out that the max values of sin(x) are 1 and -1, so the domain of the inverse of sin(x) must be [-1,1]

**Note: if allowed during AP test, test from school. or assignment, you can use your graphing calculator to graph sin^{-1}(x)

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A a heightened self consciousness
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sweet [91]
Err... can someone explain this to me too?
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Discuss the impact of effective college and career planning. After reviewing the career plan for your chosen career pathway, dis
BaLLatris [955]

Answer:if done effectively you will be prepared for college

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