Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis.y = 
, y = 0, x = 1, x = 4
A. 
?
B. 
?
C. 24?
D. 
?
Answer: D
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Give an appropriate answer.If one was to sketch the level curve of f(x, y) that goes through point p and the gradient vector placing it's intitial point at p, what should be true about ?f(p)?
A. ?f(p) = 0. B. ?f(p) is perpendicular to the tangent line at p. C. ?f(p) is perpendicular to the normal line at p. D. ?f(p) is parallel to the tangent line at p.
Use the substitution formula to evaluate the integral.
A. 
- 2
B. 
- 4
C. 2
- 8
D. - 2
+ 8
Use the rational zero theorem, Descartes's rule of signs, and the theorem on bounds as aids in finding all real and imaginary roots to the equation.3x4 - 20x3 + 44x2 - 80x + 128 = 0
A. 
, 4, -2i, 2i
B. 
, 4, -4i, 4i
C. 
, 4, -i, i
D. - 
, -4, -2i, 2i
Solve the problem.If you are dealt two cards successively (without replacement) from a standard 52-card deck, find the probability of getting a king on the first card and a queen on the second.
A. 
B. 
C. 
D. 