A conical container is to be manufactured by stamping out a portion of a circle of material, radius R and then folding it around as shown. What is the optimum angle theta, which gives the maximum volume of the conical container, if the radius R of the original circle is fixed?

The train station clock runs too fast and gains 5 minutes every 10 days. how many minutes and seconds will it have gained at the end of 9 days?

Revirite the formula to determine the area covered by one can of paint. alyssa and her father are going to paint the house this summer. they know they'll need 6 cans of paint. enter the correct answer. 000 done a formula that describes this scenario is (licierali 000 oo 6 w w = the total area of the walls p = area covered by a can of paint

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 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)