Solve.Integrate  sin x dx by first changing the integrand to a form that can be integrated by using the basic trigonometric integration formulas.

A. - 4 cos3 x + 4 cos5 x + C
B. -  cos3 x sin x +  cos5 x sin x + C
C. - cos2 x + cos4 x + C
D. -  cos3 x +  cos5 x + C


Answer: D

Mathematics

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Factor the expression.2a4b2 - 6a3b3

A. 2a3b2(a - 3b) B. 2a3b3(a - 3) C. 2a3b2(a + 3b) D. 2a2b2(a2 - 3ab)

Mathematics

Solve.Points A and B are on opposite sides of a lake. A point C is  from A. The measure of angle BAC is  and the measure of angle ACB is determined to be 37°20'. Find the distance between points A and B to the nearest meter.

A. 53 m B. 28 m C. 55 m D. 26 m

Mathematics

Solve the problem.A farmer has 320 m of fencing. Find the area of the largest rectangular field that he can enclose with his fencing. Assume that no fencing is needed along one edge of the field.

A. 40,425 m2 B. 17,625 m2 C. 12,800 m2 D. 25,600 m2

Mathematics

Provide an appropriate response.Write the standard form equation of the line that is perpendicular to -4x - 9y = -27 and passes through 

A. -9x + 4y = -61 B. -4x + 9y = -61 C. -9x - 4y = -27 D. -9x - 4y = -61

Mathematics