Solve.3x2 - 20x - 7 = 0
A. x = , x = -
B. x = - , x = 7
C. x = - , x = 3
D. x = -3, x = 7
Answer: B
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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) 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. 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. D. There is not enough information given to determine if F(x) = G(x).
There is to be a board meeting in the Success Unlimited Inc. boardroom. The chair of the board always sits at the head of the long rectangular table. There are three seats along each side of the table and one seat at the far end which no one ever uses. Six people should attend the meeting in addition to the chair. However, two people are out of town on assignment and a third person is ill. In how many different ways can the remaining people sit at the table?
What will be an ideal response?
Solve the triangle.
A. A = 109.5°, B = 38.9°, C = 31.6° B. A = 38.9°, B = 31.6°, C = 109.5° C. A = 109.5°, B = 31.6°, C = 38.9° D. A = 38.9°, B = 109.5°, C = 31.6°
Write the expression in terms of sines and/or cosines, and then simplify.
A.
B.
C. cos ? - sin ?
D.