Yes, it does. The reason being it causes people to spend more time with devices than with those around them. It also keeps people from truly resting during leisure time.

3 0

3 years ago

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:

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

5 0

3 years ago

Which occupations are projected to be in the top ten for the most job openings between 2014 and 2024? Check all that apply

Y_Kistochka [10]

Information Technology

Neurosurgery

A neurological control device in the human brain

4 0

3 years ago

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