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 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.
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 integrating f(x) results in one unique function.
Answer: A
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Graph the numbers on the number line. Then, write the numbers from largest to smallest.3, 1, 7, 5
A. 5, 4, 3, 1
B. 7, 1, 5, 3
C. 1, 3, 5, 7
D. 7, 5, 3, 1
Given an interior angle of ?ABC.
Find the area of the triangle. Approximate values to the nearest tenth when appropriate.base = 10 ft, height = 9 ft
A. 90 ft2 B. 45 ft2 C. 19 ft D. 181 ft2
Simplify. ÷
?
A.
B.
C. 8
D. 6