Write the equation in standard form for an ellipse or a hyperbola centered at (h, k).8x2 - 5y2 - 16x + 40y - 112 = 0
A. 
- 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
- 
= 1
Answer: B
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Use Taylor's formula to find the requested approximation of 
near the origin.Quadratic approximation to 
A. 1 + x + 3y + 
x2 + 
y2
B. x + 3y + 
x2 + 
y2
C. 1 + x + 3y + 
x2 + 3xy + 
y2
D. x + 3y + 
x2 + 
xy + 
y2
Determine if the given function y = f(x) is a solution of the accompanying differential equation.Differential equation: y' = e- 5x - 5yInitial condition: y(0) = 0Solution candidate: y = 5xe- 5x
A. No B. Yes
Provide an appropriate response.The volume of a rectangular prism with a square base and height which is 16 times as long as its width is 4 times its width. What are the dimensions of the rectangular prism?
Fill in the blank(s) with the appropriate word(s).
Provide an appropriate response.What is the distance from the origin to the point (m, -n)?
A. 
B. 
C. m2 + n2
D. 