Determine if the given function y = f(x) is a solution of the accompanying differential equation.Differential equation: y' = e- 5x - 5yInitial condition: y(- 5) = 0Solution candidate: y = (x + 5)e- 5x
A. No
B. Yes
Answer: B
Mathematics
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Find the average value of the function f over the given region.f(x, y) = 6x + 2y over the triangle with vertices ,
, and
A.
B. 20
C. 17
D. 14
Mathematics
Provide an appropriate response.Which one of the following ratios is not the same as 0.75?
A. 75 to 100 B. 3 to 4 C. 8 to 6 D. 0.750
Mathematics
Determine if the series converges absolutely, converges, or diverges.
A. converges conditionally B. diverges C. converges absolutely
Mathematics
Write the product as a sum or difference of trigonometric functions.cos 34° sin 25°
A. (cos 59° + cos 9°)
B. (cos 59° - cos 9°)
C. (sin 59° + sin 9°)
D. (sin 59° - sin 9°)
Mathematics