Determine the indefinite integral.(Simplify the answer using the definitions of hyperbolic functions.)

A. x +  + C
B. cosh x + C
C.  + C
D.  + C


Answer: D

Mathematics

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Sketch the indicated curve. Find the intercepts. Find any asymptotes. Find any relative extrema and determine the intervals on which the curve is increasing and the intervals on which it is decreasing. Find any inflection points. Determine the intervals on which the curve is concave up and the intervals on which it is concave down.y = 

What will be an ideal response?

Mathematics

Solve the problem.The sparks from an emery wheel to sharpen blades fly off tangent to the wheel. Find the equation along which sparks fly from a wheel described by x2 + y2 = 89, at (5, 8).

A. 5y - 8x - 80 = 0 B. 5y + 8x - 80 = 0 C. 8y + 5x - 89 = 0 D. 8y - 5x - 89 = 0

Mathematics

Convert using dimensional analysis.A 13.5 feet by 11.5 feet room is to be carpeted. Calculate the area in square yards. Round to the nearest tenth.

A. 17.3 yd.2 B. 155.3 yd.2 C. 51.8 yd.2 D. 465.9 yd.2

Mathematics

Solve the equation by the method of your choice. Simplify irrational solutions, if possible.8x2 + 30x + 14 = -11

A.
B.
C.
D.

Mathematics