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What is the greatest area of a rectangle having a perimeter of 38 cm and sides of integral measure?
For each of the following vector spaces, give its dimension and a basis. The set of all symmetric 4 x 4 matrices,
The surface area of this pyramid is 189 cm The area of the square base is 49 cm sq . What is the area of one triangular face of the lateral surface? Show the steps of your solution and explain your work.
Matrices are the most common and popular way to solve systems of equations. Provide an example of a matrix that can be solved using Gaussian elimination. Show specifically how row operations can be used to solve the matrix.
Two planes left an airport at noon. one flew east at a certain speed and the other flew west at twice the speed. The planes were 2700 mi. apart in 3 hours. how fast was each plane flying?
Use a triple integral and an appropriate change of coordinates to calculate the volume of the region bounded by the xy -plane, the surface z = x^2 + y^2 and the cylinder over x^2/9 + y^2/4 = 1 .
A student has computed that it takes an average (mean) of 17 minutes with a standard deviation of 3 minutes to drive from home, park the car, and walk to an early morning class. One day it took the student 21 minutes to get to class. How many stan..
Find and solve a recurrence relation for the number of ways to make a pile of n chips using red, white, and blue chips and such that no two red chips are together.
Evaluate the Area of under one arch of a cycloid using its integration
A water storage tank has the shape of a cylinder with diameter 22 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 20 ft, what percentage of the total capacity is being used? (Round the answer to one..
A domestic auto producer is facing intense competition in the US market from Asian imports. The CFO decides that the solution is to produce at the point at which average cost is minimized, i.e. where TC/Q is at a minimum. The firm's cost structure..
Is empty set a symmetric relation? Prove or disprove.
A plane can fly 325 mph in still air. If it can fly 190 miles downwind in the same amount of time it can fly 135 miles upwind, find the velocity of the wind.
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