Government economists of a developing country determined that the purchase of imported perfume is related to a proposed "luxury tax" by the following formula where n(x) measures the percentage of normal consumption of perfume when a "luxury tax" of x% is imposed on it. n(x) = 10,000 − 40x − 0.02x2 (0 ≤ x ≤ 200) find the rate of change of n(x) for taxes of 10%, 100%, and 145%. (round your answers to three decimal places.) 10% tax 100% tax 145% tax

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.

How many solutions does the nonlinear system of equations graphed bellow have?

The measure of angle 0 is 600 degrees