Find the volume of the solid that lies between planes perpendicular to the x-axis at x = pi/4 and x = 5pi/4. the cross-sections between the planes are circular disks whose diameters run from the curve y = 2 cos x to the curve y = 2 sin x.

Figure abcde is a regular pentagon. segment ae is located at a (2, 1) and e (4, 1). what is the perimeter of abcde? 4 units 6 units 8 units 10 units

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

How would you describe the difference between the graphs of f(x) = 2x2 and g(x) = -2x2?