Use the definite integral to find the area between the x-axis and f(x) over the indicated interval.f(x) = 2x + 7; [1, 5]

A. 9
B. 18
C. 52
D. 26


Answer: C

Mathematics

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Solve the problem. Write all linear equations in slope-intercept form.A house was purchased for $83,000. After 6 years the value of the house was $101,000. Find a linear equation that models the value of the house after x years.

A. y = 6x + 83,000 B. y = 3000x + 83,000 C. y = 101,000 D. y = 3000x

Mathematics

Graph the polar equation.r = csc ? - 2, 0 < ? < ? 

A.

B.

C.

D.

Mathematics

Write as a decimal number rounded as indicated.; Round to the nearest thousandth.

A. 0.274 B. 0.275 C. 0.273 D. 0.272

Mathematics

Evaluate the integral where f(x, y, z)= xy² +yz² and B= {x, y, z) | 0 ? x ? 2,- 1 ? y ? 1, 0 ? z ? 3} with respect to x, y, and z, in that order.

a. 28 b. 36 c. 4 d. 24

Mathematics