Find the x- and y-intercepts of f.f(x) = -x2(x + 2)(x2 + 1)
A. x-intercepts: -2, -1, 0; y-intercept: 2
B. x-intercepts: -2, -1, 0; y-intercept: -2
C. x-intercepts: -2, -1, 0, 1; y-intercept: 0
D. x-intercepts: -2, 0; y-intercept: 0
Answer: D
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Identify a technique of integration for evaluating the integral. If necessary, explain how to first simplify the integrand before applying the suggested technique of integration. You do not need to evaluate the integral.
A. Integrate by parts with u = 3x, dv = cos 2x dx B. Substitute, letting u = cos 2x C. Integrate by parts with u = cos 2x, dv = 3x dx D. Substitute, letting u = 2x
Decide whether or not the given equation is an identity.sin(x + y) + sin(x - y) = 2 sin x cos y
A. Yes B. No
Find the volume of the solid generated by revolving the region about the y-axis.The region enclosed by the triangle with vertices (4, 0), (4, 2), (6, 2)
A. 
?
B. 
?
C. 
?
D. 
?
Identify the like terms in the given expression. Then identify the coefficients of the like terms.8x2y + 9xy + 
xy2 + 12x + 8xy + 
x2y3 + 12
A. Like Terms: 8xy and 12x
Coefficients: 8 and 12
B. Like Terms: 9 and 8
Coefficients: 9xy and 8xy
C. Like Terms: 8x2y and 
xy2
Coefficients: 8 and 
D. Like Terms: 9xy and 8xy
Coefficients: 9 and 8