Provide the proper response.When we define the definite integral, what is a necessary condition for the function f(x)?

A. We must be able to draw the graph of f(x).
B. f(x) must be continuous on some interval [a,b].
C. f(x) must be continuous everywhere.
D. f(x) must be positive on some interval [a,b].


Answer: B

Mathematics

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Simplify the radical expression.

A. 11 B. 5 C. ±5 D. 25

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Solve. Round to the nearest hundredth, if necessary.The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. If a 2-kg object stretches a spring 95 cm, find the distance when the weight is 3-kg.

A. 142.5 cm B. 0.06 cm C. 100 cm D. 47.5 cm

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Factor completely. If unfactorable, indicate that the polynomial is prime.3x2 - 3

A. 3(x + 1)(x - 1) B. 3(x - 1)2 C. 3(x + 1)2 D. prime

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Graph the quadratic equation by plotting points. Label the vertex.y = - x2

A.

B.

C.

D.

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