Evaluate the following expression using the values given: find x^3 - 2y^2 - 3x^3 + z^4 if x = 3, y = 5, and z = -3

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

Aquantity with an initial value of 3900 decays exponentially at a rate of 35% every hour. what is the value of the quantity after 0.5 days, to the nearest hundredth?

How many credit hours will a student have to take for the two tuition costs to be equal? round the answer to the nearest tenth of an hour.