Solve.If the force acting on an object stays the same, then the acceleration of the object is inversely proportional to its mass. If a force acts on an object with a mass of 80 kilograms so that it accelerates at  per second per second, then find the acceleration of an object with a mass of  that is acted on by the same force.

A. 10 meters per second per second
B. 80 meters per second per second
C. 90 meters per second per second
D. 81 meters per second per second


Answer: C

Mathematics

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Calculate the surface area of the given surface.The surface f(x,y) = x2 + y2, -1 ? x, y ? 2. (Hint: Do the first integral by substitution or using a formula from the Table of Integrals. Use numerical integration to do the outer integral.)

A. 35.5222 B. 18.4734 C. 25.3332 D. 29.3516

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Solve the problem by integration.The general expression for the slope of a curve is   Find the equation of the curve if it passes through (1, 0).

A. y = ln 
B. y = ln 
C. y = ln 
D. y = ln 

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Solve. Write the fractions in simplest form.A company employs 144,000 employees worldwide. About 46,800 employees work in the United States. What fraction of the employees work in the United States?

A.
B.
C.
D.

Mathematics

The volume of a right-circular cylinder of radius r and height h is . ?  Suppose the radius and height of the cylinder are changing with respect to time t. At a certain instant of time, the radius and height of the cylinder are 2 and 3 in. and are increasing at the rate of 0.5 and 0.4 in./sec, respectively. ?  How fast is the volume of the cylinder increasing?

What will be an ideal response?

Mathematics