Find the average value of the function
?

?
over the indicated interval .
?

A.
B.
C.
D.

Answer: A

Mathematics

Use the method of variation of parameters to solve the differential equation.D2y + 8Dy + 12y = 5x

A. y = C₁e^-2x + C₂e^-6x + x
B. y = C₁e^-2x + C₂e^-6x +  - x
C. y = C₁e^2x + C₂e^6x -  + x
D. y = C₁e^-2x + C₂e^-6x -  + x

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Mathematics

Provide an appropriate response.For approximately what values of x can tan-1 x be replaced by with an error of magnitude no greater than ?

A. |x| < 0.43610 B. |x| < 0.37977 C. |x| < 0.44581 D. |x| < 0.38965

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Mathematics

Find the differential of the function.y = sec 7x

A. 7 sec x tan x dx B. 7 sec 7x cot 7x dx C. - sec 7x tan 7x dx D. 7 sec 7x tan 7x dx

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Mathematics

Solve the problem.Find 16% of $142,000.

A. $227 B. $2272 C. $8875 D. $22,720

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Mathematics