If possible, factor the polynomial completely. If a polynomial cannot be factored, state that it is prime.81x2 - 25
A. (9x + 5)2
B. (9x - 5)2
C. Prime
D. (9x + 5)(9x - 5)
Answer: D
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Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size. Round your results to four decimal places.y' = y2(1 - 2x), y(-1) = -1, h = 0.5
A. y1 = 0.4, y2 = 0.63, y3 = 0.7472 B. y1 = 0.7, y2 = 0.99, y3 = 1.9136 C. y1 = 0.5, y2 = 0.75, y3 = 1.03125 D. y1 = 0.7, y2 = 0.99, y3 = 1.2656
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 - y2)
B. 
= ye-y2; 
= 2xye-y2(2y2 - 6); 
= 
= e-y2(1 - 2y2)
C. 
= ye-y2; 
= 2xye-y2(y2 - 1); 
= 
= e-y2(1 - y2)
D. 
= 0; 
= 2xye-y2(2y2 - 3); 
= 
= e-y2(1 - 2y2)
Determine whether the following is always true or not always true. Given reasons for your answers.c(u ? v) = cu ? cv (any number c)
What will be an ideal response?
Solve the problem.The shape and density of a thin shell are indicated below. Find the coordinates of the center of mass.Shell: cylinder x2 + z2 = 64 bounded by y = 0 and y = 4Density: constant
A. 
B. 
C. 
D. 