Of the following emotions, which is the most intense?

Advanced Placement (AP)

1 answer:

Serhud [2]2 years ago

8 0

Answer:

I think it would be pity. Everytime we make a mistake , whether it be a kid , teenager , or adult , we know its wrong but we still do it. We know our mistakes could hurt someone but we steer into the wrong direction and sooner or later you feel helpless because you know you started this and you have this thing going on in your stomach thats telling you ¨ what did I just do ? ¨

Explanation:

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

erik [133]

(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: