Factor completely.18a3b3 - 35a2b2 - 25ab
A. (9a2b2 + 5)(2ab - 5)
B. (9ab - 5)(2a2b2 + 5)
C. ab(9ab - 5)(2ab + 5)
D. ab(9ab + 5)(2ab - 5)
Answer: D
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Find the linear approximating polynomial for the function centered at a.f(x) = 3x2 - 5x + 3, a = -2
A. L(x) = -7x + 15 B. L(x) = -17x - 9 C. L(x) = -17x + 15 D. L(x) = -7x - 9
Provide an appropriate response.Show that y = 
and y = 
grow at the same rate as x?? by showing that they both grow at the same rate as 
What will be an ideal response?
Provide an appropriate response.Find the extrema of f(x, y, z) = x + yz on the line defined by x = 5(4 + t), y = t - 5, and z = t + 4. Classify each extremum as a minimum or maximum. (Hint: w = f(x, y, z) is a differentiable function of t.)
A. (10, -7, 2), minimum; (30, -3, 6), maximum B. (30, -3, 6), minimum; (0, -5, 0), minimum C. (30, -3, 6), minimum D. (10, -7, 2), minimum
Find the indicated vector.Let u = 
, v = 
. Find 
u + 
v.
A. 
B. 
C. 
D. 