Show that the curves are orthogonal. x2 + y2 = 5 and y2 = x3
What will be an ideal response?
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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) = 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. C. There is not enough information given to determine if F(x) = G(x). D. 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.
Find the indicated sum.
A. 
B. 
C. 
D. 
Perform the indicated division or state that the expression is undefined.-45 ÷ (-5)
A. 9 B. -9 C. 10 D. 8
Write the indicated event in set notation.The event that both prize winners are women in a competition in which two people are selected from four finalists to receive the first and second prizes. The prize winners will be selected by drawing names from a hat. The names of the four finalists are Jim, George, Helen, and Maggie. [The possible outcomes can be represented as follows.JGJHJMGJGHGMHJHGHMMJMGMHHere, for example, JG represents the outcome that Jim receives the first prize and George receives the second prize.]
A. 
B. 
C. 
D. 