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VMariaS [17]
3 years ago
6

If the tangent line to y = f(x) at (7, 4) passes through the point (0, 3), find f(7) and f '(7).

Mathematics
1 answer:
jarptica [38.1K]3 years ago
4 0
Hello : 
f'(7) = the slope of the tangent line : let  A(7,4)    B(0,3)<span>
<span>the slope is :   (YB - YA)/(XB -XA)= (3-4)/(0-7) = -1/-7 = 1/7=f'(7)
the equation of the tangent line is :
y-3 = 1/7 (x-0)
 y = (1/7)x+3
the line tangent and the graph of : f </span></span><span>passes through the point A(7, 4)
x= 7 y=4 so : f(7) =4</span>
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Answer:

The Choice N#1 will give more pizza for your money

Step-by-step explanation:

step 1

Find the area of one slice Choice #1

The area of the circle is equal to

A=\pi r^{2}

we have

r=22/2=11\ in ----> the radius is half the diameter

assume

\pi =3.14

The area of one slice is equal to

A=(1/8)\pi r^{2}

substitute

A=(1/8)(3.14)(11)^{2}

A=47.4925\ in^{2}

Divide the cost by the area

4.95/47.4925=0.10\frac{\$}{in^{2}}

step 2

Find the area of the entire personal pizza Choice # 2

The area of the circle is equal to

A=\pi r^{2}

we have

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assume

\pi =3.14

substitute

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A=28.26\ in^{2}

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