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Harrizon [31]
3 years ago
6

What is the graph of Y

Mathematics
1 answer:
Ivenika [448]3 years ago
8 0
It's D)

you can subsitute any number you want for x and it'd still be a soloution to y=
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Find the point on the curve y = √ x where the tangent line is parallel to the line y = x 8 .
vichka [17]
If tangent to the curve y = √x  is parallel to the line  y = 8x,  then this implies that the tangent to  y = <span>√x  has the same slope as the line  y = 8x. In other words, the derivative (slope) function of  y = √x  is equal to the slope of the line  y = 8x, which is m = 8.  Hence y' = 8  once we find  y'

y =  </span><span>√x = x^(1/2)

Applying the power rule and simplifying, we find that the derivative is

y' = 1/(2</span>√x)

Now remember that  y'  must equal 8

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Multiplying both sides by  2</span><span>√x,  we obtain

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Dividing both sides by  16,  yields

</span><span>√x = 1/16

But wait a minute, √x = y.  Thus  1/16  must be the y-coordinate of the point at which the tangent to  y = √x  is drawn.

Squaring both sides, yields

x = 1/256 

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aksik [14]

Answer:

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putting all values in the formula and calculating the volume

5 0
3 years ago
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