Find the area of the region under the graph of f on [a, b].

f(x) = ? 2x + 4; [?1, 2]



Select the correct answer.

a. 3

b. –12

c. 12

d. –3


c. 12

Mathematics

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Find the average value of the function over the given interval.y = x2 - 4x + 6; [0, 9]

A. 51
B. 63
C. 15
D.

Mathematics

Solve.From a 40-inch by 40-inch piece of metal, squares are cut out of the four corners so that the sides can then be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are cut out. Express the volume of the box as a function of x. Give the function and state its domain.

A. V = 4x3 - 160x2 + 1600x: x < 40 B. V = 4x3 - 160x2 + 1600x: 0 < x < 20 C. V = 2x3 - 120x2 + 40x: 0 < x < 20 D. V = 2x3 - 120x2 + 1600x: x >0

Mathematics

Use lattice multiplication to determine the product.22 × 85

A. 1870 B. 1970 C. 1880 D. 1860

Mathematics

Find the cubic or quartic function that models the data in the table.  (Cubic)

A. y = -1.53x3 + 0.54x2 - 2.07x + 0.36 B. y = -1.53x3 + 0.24x2 - 2.57x + 0.36 C. y = -1.53x3 + 0.24x2 - 2.07x + 0.36 D. y = -1.83x3 + 0.24x2 - 2.07x + 0.36

Mathematics