Multiply mentally.3x2(2x3 + 3x2 - 4x)
A. 6x5 + 9x4 - 12x3
B. 6x5 + 9x4 + 4x3
C. 6x5 + 9x4 - 12x2
D. 6x4 + 9x3 - 12x2
Answer: A
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Find two paths of approach from which one can conclude that the function has no limit as (x, y) approaches (0, 0).f(x, y) = 
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Provide an appropriate response.Consider the inequality x2 + y2 < 3x + y.(a) Find an equivalent inequality in polar coordinates.(b) Use an integral with respect to ? to find the area of the region defined by the inequality.(c) Find the length of the curve that forms the boundary of the region defined by the inequality.(d) Find the slope of this curve at the point (2, 2).
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Evaluate the integral.
A. 
x sin(ln x) + 
x cos (ln x) + C
B. 
x sin(ln x) - 
x cos (ln x) + C
C. x sin(ln x) - x cos (ln x) + C
D. x cos(ln x) - x sin (ln x) + C
Multiply.-8(-12x - 9)
A. -12x + 72 B. 96x + 72 C. 168x D. 96x - 9