Tom N.

The length of a rectangle is 10 inches greater than the width. The area of the rectangle is 75 square inches. Find the dimensions.

1. ∫ 3x/(x+1)3 dx (by using substitution)2. ∫ (4x2 - 4x - 3)/ [x2(x-3)] dx (by using partial intergration)3. ∫ e2xcos(2x) dx (by using integration by parts)

Another spring, another hill, this time a bit more geometric (see figure). A block (m = 0.41 kg) is pushed 0.65 m against a spring and released from rest. The block then travels over an icy patch... more

Lewiston and Vernonville are 144 miles apart. A car leaves Lewiston traveling towards​ Vernonville, and another car leaves Vernonville at the same​ time, traveling towards Lewiston. The car leaving... more

A rectangular page is to contain 8 square inches of print. The margins at the top and bottom of the page are to be 2 inches wide. The margins on each side are to be 1 inch wide .Find the dimensions... more

Precalculus Question:Two radar sites are tracking an airplane that is flying on a hyperbolic path. The first radar site is located at (0,0), and shows the airplane to be 200 meters away at a... more

Boltzmann’s constant is 1.38066×10−23 J/K, and the universal gas constant is 8.31451 J/K · mol. If 3.1 mol of a gas is confined to a 2.8 L vessel at a pressure of 10.4 atm, what is the average... more

A 10-kg mass is laying flat on a table with a string attached that runs over the edge of the table via a pulley. You have a 20-kg mass attached to the string that is hanging off the table. The... more

 You will build a rectangular sheep enclosure next to a river. There is no need to build a fence along the river, so you only need to build on three sides. You have a total of 470 feet of fence to... more

A kite 100 ft above the ground moves horizontally at a speed of 12 ft/s. At what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let... more