Find the sum of the series.

A. 11
B. 7
C. 22
D. 12


Answer: A

Mathematics

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Solve the problem. Round your answer, if appropriate.As the zoom lens in a camera moves in and out, the size of the rectangular image changes. Assume that the current image is 5 cm × 2 cm. Find the rate at which the area of the image is changing (dA/df) if the length of the image is changing at 0.6 cm/s and the width of the image is changing at 0.1 cm/s.

A. 1.7 cm2/sec B. 6.4 cm2/sec C. 3.2 cm2/sec D. 3.4 cm2/sec

Mathematics

Solve the problem.The area A of a triangle is 10x2 + 7x - 12. If the height of the triangle is 2x + 3, find the length of its base.

A. 2(5x + 4)
B. 2(5x - 4)
C. 5x - 4
D.

Mathematics

Find the area of the figure using determinants.

A. 22.0 B. 21.0 C. 20.5 D. 21.5

Mathematics

Evaluate the definite integral of the algebraic function. ?  ?  Use a graphing utility to verify your results. Round your answer to 4 decimal places. ? 

A. 4.2422 B. 5.4526 C. -4.2422 D. 1.0439 E. 0.7140

Mathematics