Kevin H.

The voltage of a power supply is given by the equation V(t)=100sin(4πt)+40. State the maximum voltage and the times when it occurs.(I'm fairly confident that I have the derivative correct:... more

A Ferris wheel is 50 meters in diameter and boarded from a platform that is 3 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The... more

 Given the following F = 3 i – 7.5 j and a force vector B that has a magnitude of 8 N and makes anangle counterclockwise from the x axis at 23 degrees. Find the resultant force. And theacceleration... more

An astronaut of mass 52 Kg, pushes against the space craft door and flies away with anacceleration of 1.3 m/s2. What was the force applied in the push? What are the Newton’s Lawsthat are at work... more

A trough is 12 feet long and 3 feet across the top. Its ends are isosceles triangles with altitudes of 3 feet.(a) If water is being pumped into the trough at 2 cubic feet per minute, how fast is... more

A water storage tank has the shape of a cylinder with diameter 10 feet. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 8 feet, what percentage of the... more

The graph of the lemniscate 𝑟=𝑘𝑐𝑜𝑠2𝜃 where 𝑘 is a constant is shown in the figure to the right. Find the area bounded by the curve.(A) 𝑘^2/4(B) 𝑘^2/2(C) 𝑘^2(D) 2

Point 𝑃(𝑥,𝑦) moves in the 𝑥𝑦-plane in such a way that 𝑥=1(2𝑡+1)2 and 𝑦=𝑡𝑙𝑛𝑡 for 𝑡>0. Find the instantaneous rate of change of 𝑦 with respect... more

Prvoe the number of k-compositions of n is n−1 k−1

Use the improved Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05.y' = 4x − 2y + 2, y(1) = 6;  y(1.5) h =... more

Turn the sentence: "Look, Schopenhauer was only grumpy because his dad died by suicide, his mother did not like him, and his archnemesis Hegel was a bigger star than he was. into symbolic... more

Find the volume of the region above the plane and below the surface z=18 - 2x (square) - 2y (square)in three ways:(a) By using a double integral in polar coordinates.(b) By noticing that this is... more