Find the equation in standard form of the parabola described.Focus at (0, 23); Directrix the line y = -23
A. y2 = 23x
B. x2 = 92y
C. x2 = -92y
D. y2 = 92x
Answer: B
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Find all the second order partial derivatives of the given function.f(x, y) = xye-y2
A. 
= 0; 
= 2xye-y2(2y2 - 3); 
= 
= e-y2(1 - 2y2)
B. 
= ye-y2; 
= 2xye-y2(y2 - 1); 
= 
= e-y2(1 - y2)
C. 
= ye-y2; 
= 2xye-y2(2y2 - 6); 
= 
= e-y2(1 - 2y2)
D. 
= 0 ; 
= 2xye-y2(2y2 - 3); 
= 
= e-y2(1 - y2)
Find the missing value and write a conclusion. If necessary, round the percentage to the nearest tenth.What percent of 120 is 30?
A. 4% of 120 is 30. B. 5% of 120 is 30. C. 25% of 120 is 30. D. 26% of 120 is 30.
Let x represent one number and let y represent the other number. Use the given conditions to write a system of nonlinear equations. Solve the system and find the numbers.The difference between the squares of two numbers is 39. Twice the square of the second number subtracted from the square of the first number is 
. Find the numbers.
A. 8 and 5; -8 and 5; 8 and -5 B. 8 and 5; -8 and -5 C. 8 and 5; -8 and 5; 8 and -5; -8 and -5 D. 8 and 5
Simplify. Your answer should be in lowest terms.
+ 
A. 
B. 
C. 
D. 