Determine the remainder using the remainder theorem.(3x4 - 9x3 + 4x2 - 3x + 2) ÷ (x - 3)
A. 29
B. -399
C. 457
D. 101
Answer: A
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Find all the second order partial derivatives of the given function.f(x, y) = (x2 + y2)7
A. fxx(x, y) = 168x2(x2 + y2)5 + 14(x2 + y2)6; fyy(x, y) = 168y2(x2 + y2)5 + 14(x2 + y2)6; fxy(x, y) = fyx(x, y) = 168xy(x2 + y2)6 + (x2 + y2)7 B. fxx(x, y) = 168x2(x2 + y2)5 + 14(x2 + y2)6; fyy(x, y) = 168y2(x2 + y2)5 + 14(x2 + y2)6; fxy(x, y) = fyx(x, y) = 168xy(x2 + y2)5 + (x2 + y2)6 C. fxx(x, y) = 168x2(x2 + y2)5 + 14(x2 + y2)6; fyy(x, y) = 168y2(x2 + y2)5 + 14(x2 + y2)6; fxy(x, y) = fyx(x, y) = 168xy(x2 + y2)5 + 14(x2 + y2)6 D. fxx(x, y) = 168x2(x2 + y2)5 + 14(x2 + y2)6; fyy(x, y) = 168y2(x2 + y2)5 + 14(x2 + y2)6; fxy(x, y) = fyx(x, y) = 168xy(x2 + y2)5 + 14xy(x2 + y2)6
Provide an appropriate response.Which of the following statements is false?
A. 
converges if p >1 and diverges if p ? 1.
B. The integral test does not apply to divergent sequences.
C. If an and f(n) satisfy the requirements of the Integral Test, and if 
converges, then 
= 
dx.
D. 
converges if p > 1.
Find the vertices of the hyperbola.9y2 - 16x2 = 144
A. (-4, 0), (4, 0) B. (0, 4), (0, -4) C. (-3, 0), (3, 0) D. (0, 3), (0, -3)
Multiply or divide (as specified) the numerator and denominator by the given factor to obtain an equivalent fraction.
(divide by x + 1)
A. 
B. 
C. 
D. 