Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.
?
If f and g are integrable, then .

What will be an ideal response?


True. The indefinite integral of a difference of two integrable functions is equal to the difference of their indefinite integrals. The indefinite integral of a constant multiple of a function is equal to the constant multiple of the indefinite integral of the function.

Mathematics

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Answer the question.Fill in the blanks to complete the statement. The graph of  is a parabola with axis of symmetry  and vertex .

A. (-3, -9); x = -3 B. x = 3; (-3,-9) C. x = 6; (-3, -9) D. x = 3; (3, -9)

Mathematics

Solve the problem.A rock falls from a tower that is 107.8 m high. As it is falling, its height is given by the formula  How many seconds will it take for the rock to hit the ground (h=0)?

A. 2400 s B. 10.1 s C. 4.7 s D. 10.4 s

Mathematics

Solve the system of equations by Gauss-Jordan elimination.

A. {(18, 12, -6)} B. {(12, 6, 0)} C. {(9, 3, 3)} D. ?

Mathematics

Solve the problem.A survey revealed that 28% of people are entertained by reading books, 42% are entertained by watching TV, and 30% are entertained by both books and TV. What is the probability that a person will be entertained by either books or TV? Express the answer as a percentage.

A. 100% B. 30% C. 40% D. 70%

Mathematics