Simplify the expression. (-4^4j^5)^3(k^3j^3)^7 a. k^33 j^36 / -64 b. -64k^33 j^36 c. 64k^33 j^36 d. -64k^17 j^18

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.

16. you're planning to buy a boat, a motor, and some miscellaneous boating equipment. the boat costs $325, the motor costs $225, and the equipment costs $79. if you've saved $438 toward these purchases, how much more do you need to save? a. $181 b. $281 c. $291 d. $191

Write the point-slope form of the line passing through (2, -12) and parallel to y=3x.