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Sholpan [36]
3 years ago
13

How many McDonald's are there in the whole world?

Advanced Placement (AP)
1 answer:
Serga [27]3 years ago
7 0
<span>Mc Donald’s is a popular fast food restaurant chain in America. Its humble beginning was started by Richard Mc Donald’s last 1940. Today it has been scattered in about 120 countries, with a total of 36,525 Mc Donald branches all over the world. However, drive-throughs are more in demand in the United States that would cause more than a hundred branches to stop its operation.</span>
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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:

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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There's only one way

Explanation:

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