Use the following property of the definite integral to estimate the definite integral :

If m?f(x)?M on [a, b], then




c.

Mathematics

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Find the product.9x4(10x6 - 4x4 + 12)

A. 90x10 - 36x8  B. 90x6 - 36x4 + 108 C. 90x10 - 4x4 + 12 D. 90x10 - 36x8 + 108x4

Mathematics

Express the statement as an equation involving the indicated variables.The area A of a triangle is one-half the product of its base b and its height h.

A. A = (b + h)
B. A = bh
C. A = 2bh
D. A = bh

Mathematics

Solve the problem.An experimental model for a suspension bridge is built in the shape of a parabolic arch. In one section, cable runs from the top of one tower down to the roadway, just touching it there, and up again to the top of a second tower. The towers are both 16 inches tall and stand 80 inches apart. Find the vertical distance from the roadway to the cable at a point on the road 12 inches from the lowest point of the cable.

A. 5.76 in. B. 1.64 in. C. 1.44 in. D. 1.24 in.

Mathematics

Find the quotient and write the answer in simplest form. Assume variables represent nonnegative values.

A.
B. 6
C. 6 
D. 4

Mathematics