Interpretations of the Derivative

Question

Calculate dV/dr=32 when r=2

Let V = 64 when r = 2. Estimate V when r = 2.1.

Answer 1

I'm assuming you need to figure out V in terms of r?

If so, you'll set it up in such a way:

dV = 32 dr

Taking the integral on both sides:

V = 32r + C

To figure out C, you need to plug in the values of V and r:

64 = 32(2) + C

You will then see that C is zero.

Now to find V when r = 2.1, you plug in the value of r into the equation for V.

Hope this helps!