Determine whether the improper integral converges or diverges.

A. Converges
B. Diverges


Answer: B

Mathematics

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If f satisfies the equation of change , then what can be said about the function ? ?

A. f is linear with slope .
B. f is linear with slope -5.
C. f is exponential with decay factor -5.
D. f is exponential with decay factor .

Mathematics

Solve.While traveling in a car, the centrifugal force a passenger experiences as the car drives in a circle varies jointly as the mass of the passenger and the square of the speed of the car. If the a passenger experiences a force of 352.8 newtons when the car is moving at a speed of 70 kilometers per hour and the passenger has a mass of 80 kilograms, find the force a passenger experiences when the car is moving at 40 kilometers per hour and the passenger has a mass of 50 kilograms.

A. 72 newtons B. 96 newtons C. 64 newtons D. 80 newtons

Mathematics

Solve the problem.Show that the midpoint of the hypotenuse of a right triangle is equidistant from all three vertices. [Hint: See the figure below. Show that  = .]  

What will be an ideal response?

Mathematics

Divide and simplify. Write the answer as a whole or mixed number when necessary.42 ÷ 

A. 17
B. 18
C. 19
D. 16

Mathematics