Determine which of the following equations is correct.
dx =
A. cos x + C
B. 1/sin x + C
C. -ln(cos x)/sin x + C
D. sin x + C
Answer: C
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Evaluate the integral.
sec2 3x dx
A. 3e
B. 
C. e
D. - 
Use the quadratic formula to find any x-intercepts on the graph of the equation.3x2 + 8x = -1
A. 
B. 
C. 
D. 
Provide an appropriate response.To make a rope ladder, Alyssa needs two lengths of nylon rope for the sides of the ladder and six shorter lengths of rope for the rungs. The side pieces have length (2x + 1) meters and the rung pieces have length (x - 1.4) meters. Write a simplified algebraic expression that represents the total length of nylon rope that Alyssa would need to make a rope ladder and use it to find the total length if x = 2.4.
A. (10x - 0.4) meters; 23.6 meters B. (3x - 0.4) meters; 6.8 meters C. (10x + 2.4) meters; 26.4 meters D. (10x - 6.4) meters; 17.6 meters
For the given function, find the points on the graph at which the tangent line has slope 1.y = -0.5x2 + 15x
A. (14, 112) B. (1, 14.5) C. (7, 56) D. (0, 0)