Find the second derivative of the function. s = + 9t + 5

bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

Use the Product Rule to find the derivative of the function. f(x)= (4x+ 7)(x² 8) а. 8х b. 2x + 4 c. 12x+ 14x- 32 d. 8x2 - 56

Find all complementary functions of the equation 25y" - 40y + 16y = 0 a. e4x/5cOSX, e4x/5sinx b. e4x/5, xe4x/5 C. e5x/4, xe5x/4 d. e4x/5, x²e4x/5 O O a

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Find the derivative of the given function. y = (4x2 + 4x)2 %3D 32x + 48x2 + 16x 64x + 96x² + 32x 64x + 48x2 + 32x 32x + 48x2 +32x ASUS f4 f5 f6 f7 f8 f9 f10 [困 & 4 5 7 8. 96 近

Put the function in the form y = ab' and state the values a and b. Enter the exact answers. a = b= M. y = (√5)" 2

form. y=4-2x + 9x² y=4-2+18x y=4-2x+18x y=-2 + 18x y=-2x + 18x none of the above Find the derivative of the function. The correct choice may not be in simplified 30

Find the derivative:

The windchill index announced during the winter by the weather bureau measures how cold it "feels" for a given temperature t (in degrees Fahrenheit) and wind speed w (in miles per hour). It is calculated by the formula C(t, w) = 35.74 + 0.6215t - 35.75w 0.16 + 0.4275tw0.16 + '.+ If the temperature is 31 degrees and the wind speed is 10 miles per hour, estimate the change in the windchill temperature if the wind speed increases by 4 miles per hour and the temperature drops by 5 degrees. (Round your answer to two decimal places.)