Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
-2
A. 
B. 
C. 
D. 
Answer: B
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Find all the second order partial derivatives of the given function.f(x, y) = cos xy2
A. fxx(x, y) = y2 sin xy2; fyy(x, y) = 2[2y2 cos (xy2) - sin (xy2)] ; fyx(x, y) = fxy(x, y) = 2y[y2 cos (xy2) - sin (xy2)]
B. fxx(x, y) = -y4 cos xy2; fyy(x, y) = - 2x[2xy2 cos (xy2) + sin (xy2)]; fyx(x, y) = fxy(x, y) = - 2y[xy2 cos (xy2) + sin (xy2)];
C. fxx(x, y) = - y2 sin xy2; fyy(x, y) = 2[ sin (xy2)- 2y2 cos (xy2)] ; fyx(x, y) = fxy(x, y) = 2y [sin (xy2)-y2 cos (xy2)]
D. fxx(x, y) = - y2 sin xy2; fyy(x, y) = 2y
; fyx(x, y) = fxy(x, y) = 2
Subtract the polynomials.(-20y5 + 7y2) - (10y5 + 16y2)
A. -39y7 B. -10y5 + 23y2 C. -30y5 + 23y2 D. -30y5 - 9y2
Find the mass of the solid S bounded by the paraboloid z = 6x² + 6y² and the plane z = 5 if S has constant density 3. Select the correct answer.
a. 16.25 b. 15.07 c. 24.91 d. 13.92 e. 19.63
Solve the equation using the quadratic formula.3x2 + 5x + 7 = 0
A. 
and 
B. -5 + 
and -5 - 109
C. No real solution
D. 
and 