Assume that C(x) is in dollars and is the number of units produced and sold. For the total cost function C(x) = 0.01x² +0.5x + 30, find deltaC and C'(x) when x=90 and deltaX=1.

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.

What are the soultion(s) to the quadratic equation 40- x^2=0

Hurry which expression is equivalent to 3√x^5y?