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A wheel rotating about a fixed axis has an angular position given by theta = 3.0 - 2.0t3, where theta is measured in radians and t in seconds. What is the angular acceleration of the wheel at t = 2.0 s?
A large cube is 2 feet on each edge. How many cubes - one inch on each edge- will it take to fill the large cube? If the base of a triangle is increased by 20% and the altitude to that base is decreased by 40% then by what percent is the area chang..
Kathy bicycles 4 km/h faster than Javier. In the same time, it takes Javier to bicycle 33km, Kathy can bicycle 45km. How fast does each bicyclist travel?
A handbag originally cost $85.00. Now it is priced at $68.00. What is the percent of decrease?
Suppose u and v are non-parallel unit vectors, a=u+sqrt(3)v and b=u-sqrt(3)v. If the angle theta between u and v are the same as that between a and b, find cos theta.
Vanilla Box Company is going to make open-topped boxes out of 19 × 11-inch rectangles of cardboard by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way?
The circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area. Estimate the relative error in the calculated surface area.
A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 66 ft^3. What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.
A plane can fly 410 miles in the same time as it takes a car to go 100 miles. If the car travels 155 mph slower than the plane, find the speed of the plan.
Solve the following linear system using Gaussian elimination. Solve the following linear system using Gaussian elimination.
A road is 330 feet long. The area of each intersection is 576 square feet. Find the area of the entire roadway, including both intersections.
It usually takes John 3 hours longer to do the monthly payroll than it takes Peter. They start working on it together at 9am and at 5pm, they have 85% of it done.
A feasible solution to an LP problem
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