Find the second-order partial derivative.Find fxx, where f(x, y) = x4y6 + x5y.
A. 30y4
B. 12x2y6 + 20x3
C. 12x2y6 + 20x3y
D. 4x3y6 + 5x4y
Answer: C
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Find the focus and directrix of the parabola.4x - 16y2 = 0
A. 
, x = 
B. 
, y = - 
C. 
, x = - 
D. 
, x = - 
Find an equation for the line tangent to the curve at the point defined by the given value of t.x = 4 sin t, y = 4 cos t, t = 
A. y = x - 4
B. y = 4x + 4
C. y = - x + 4
D. y = 4
x + 1
Solve the given differential equation. (The form of yp is given.)D2y - 3Dy = -3ex + xex (Let yp = Aex + Bxex .)
A. y = c1 + c2e3x + 
ex - 
xex
B. y = c1 + c2e3x - 
ex - 
xex
C. y = c1 + c2e3x + 
ex + 
xex
D. y = c1 + c2e3x - 
ex - 
xex
Write the system in the form 
Then solve the linear system by computing 
with a calculator. Round numbers to the nearest tenth, as necessary.1.5x + 3.1y - 2.3z + 0.6w = 2.76.1x - 0.5z - 3.4w = 0.8 11.5y - 2.2w = 04.0x + 3.0y - 2.1z = 9
A. (3.2, 1.0, 3.7, 5.0) B. (7.9, 2.4, 9.0, 12.3) C. (4.3, 1.3, 4.9, 6.7) D. (3.6, 1.1, 4.1, 5.6)