Find the area of the region bounded by y = x , y = x5 , x = ?1, and x = 0 .

What will be an ideal response?


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Mathematics

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Solve the problem.The accompanying figure shows the graph of y = x2 shifted to a new position. Write the equation for the new graph.

A. y = (x + 2)2 B. y = x2 + 2 C. y = (x - 2)2 D. y = x2 - 2

Mathematics

Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.u(1) = 2, u '(1) = -6, v(1) = 6, v '(1) = -3. (3v - u) at x = 1

A. -3 B. 20 C. 16 D. -15

Mathematics

Add or subtract.0.24 + (-2.780)

A. -3.02 B. 0.667 C. -2.92 D. -2.54

Mathematics

Solve the problem.A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 5 seconds, the gauge on the bottle indicates that it contains 28 ounces of water. After it has been filling for 12 seconds, the gauge indicates the bottle contains 63 ounces of water. Let w be the amount of water in the bottle t seconds after the faucet was turned on. Write a linear equation that models the amount of water in the bottle in terms of x.

A. w = t + 27
B. w = 5t + 3
C. w = -5t + 53
D. w = 5t + 51

Mathematics