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I assume he means option d. In such case, call the numerator (26-2x^2), f(x). Call the denominator (9-x^2), g(x) Apply, the quotient rule for differentiation, (f'(x)*g(x) - g'(x)*f(x) ) / (g(x))^2

Well, that's not right. I see that the disk/washer method is far easier, however my homework tells me to use the shell method for practice. I still am not seeing how to set up the integral. what i set up was wrong. I don't understand how to represent the radius and height of the shells.

Revolve the region bounded by y=x+2, y=x^2, about the x-axis I'm going to use the shell method, so i understand this will be in terms of y, so x=y-2, x=sqrt(y). I understand the formula is, V=2pi *integral from a to b of (radius of shell)(height of shell)dy What i'm getting confused on is the...

Not sure where to put this question...but here goes. Prove by contradiction. If k is an even number, then k+2 is an even number. I know from definitions that k is an even number if k=2n, and k is an odd number if k=2n+1 for any integer n. So, the layout of the proof is to be: Definition...

"I" represents intensity.

Alright, thanks for the help. So far I've come up with y= (kix)/(169-x^2)^(3/2) where y Is the amount of illuimination, k is the constant of proportionality. x is the height directly beneath the light to the ground. the attached picture Is a diagram of the problem. does it appear I have set...

I'm an econ major finishing up my sophomore year . I'm in calc 1. I am having trouble starting the problem Problem: The intensity of light, such as the sun’s rays, depends on the angle at which the light meets the surface of the ground. The amount of illumination is proportional to the...