Solve the problem.If the deflection (in cm) of a beam is calculated by the expression
, where x is the distance (in m) from one end of the beam to the point where the force is applied, then what is the deflection if the force is applied in the center of a 9.24 m beam? (The 1000 and 20 are exact numbers.)
A. 1.68 cm
B. -3.04 cm
C. 1.677 cm
D. -2.59 cm
Answer: A
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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).
Find the domain of the function. Express the answer in interval notation.g(x) =
A. [-2, ?) B. [0, ?) C. (-?, ?) D. (-2, ?)
Find the requested value of the second derivative of the function.f(x) = 5e-x2; Find f"(5) .
A. 500e25 B. 510e-50 C. 495e-50 D. 490e-25
Solve the problem.The voltage E in an electrical circuit is given by E = 3.3 cos 180?t, where t is time measured in seconds. Find the amplitude.
A. 180 B. 180? C. 3.3 D. 6.6