Use a Triple integral to find the "Volume" of the tetrahedron T bounded by the plane x + 2y + z = 2 and the planes x = 2y, x = 0, & z = 0

Use the ratio test to determine whether ∑n=14∞n+2n! converges or diverges. (a) find the ratio of successive terms. write your answer as a fully simplified fraction. for n≥14, limn→∞∣∣∣an+1an∣∣∣=limn→∞.

If the car had not hit the fence, how much farther would it have skidded? solve the skid-distance formula to find the extra distance that the car would have traveled if it had not hit the fence. round your answer to two decimal places. note that unit conversion is built into the skid distance formula, so no unit conversions are needed.

Solve for the equation x. 2x + 22 = 4(x + 3)