Provide an appropriate response.Find the derivative of f(x) = (2x - 4)3 in two ways. First multiply out and differentiate. Then use the power rule. Show that the answers are equivalent.
What will be an ideal response?
f(x) = (2x - 4)3 = 8x3- 48x2 + 96x - 64
f'(x) = 24x2 - 96x + 96
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Find the volume of the described solid.The solid lies between planes perpendicular to the x-axis at x = - 4 and x = 4. The cross sections perpendicular to the x-axis are circular disks whose diameters run from the parabola y = x2 to the parabola y = 32 - x2.
A. 
?
B. 
?
C. 
?
D. 
?
Solve for the indicated variable.T = T0ekt/300, for t
A. t = 
ln 
B. t = 
ln (T - T0)
C. t = 
ln 
D. t = 
Find the slope-intercept form for the line satisfying the conditions.Passing through (0, -4) and (7, 5)
A. y = 2x - 9
B. y = - 
x - 4
C. y = - 2x - 9
D. y = 
x - 4
Solve the equation by the method of your choice. Simplify irrational solutions, if possible.(7x + 9)2 = 64
A. 
B. 
C. 
D. 