Write as a subtraction problem and evaluate.The difference of -2xy and -2xy added to the difference of 5xy and -8xy
A. [5xy - (-8xy)] - [(-2xy + (-2xy)]; 17xy
B. [(-2xy + (-2xy)] + [5xy - (-8xy)]; 9xy
C. [(-2xy - (-2xy)] - [5xy - (-8xy)]; -13xy
D. [5xy - (-8xy)] + [(-2xy - (-2xy)]; 13xy
Answer: D
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Write the equation for the plane.The plane through the point P(-2, -3, 1) and parallel to the plane 
A. -7x - 5y + 5z = -34 B. 4y = 34 C. -7x - 5y + 5z = -24 D. -7x - 5y + 5z = 34
Determine if the series converges absolutely, converges, or diverges.
A. converges conditionally B. Converges absolutely C. Diverges
Answer each question appropriately.If differentiable functions y = F(x) and y = G(x) both solve the initial value problem 
on an interval I, must 
for every x in I? Justify the answer.
A. F(x) = G(x) for every x in I because integrating f(x) results in one unique function. B. F(x) and G(x) are not unique. There are infinitely many functions that solve the initial value problem. When solving the problem there is an integration constant C that can be any value. F(x) and G(x) could each have a different constant term. C. There is not enough information given to determine if F(x) = G(x). D. F(x) = G(x) for every x in I because when given an initial condition, we can find the integration constant when integrating f(x). Therefore, the particular solution to the initial value problem is unique.
Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.9 + 18 + 27 + ... + 9n = 
What will be an ideal response?