Find a simplified form of the difference quotient and complete the following tab

Question

Find a simplified form of the difference quotient and complete the following table. f(x) = -4x + 2 f(x + h) - f(x)/h = -4 (simplify your answer.) Fill in the table. The average price of a ticket to a baseball game can be approximated by P(X) = 0.03X2 + 0.54X + 5.11, where X is the number of years after 1991 and P(X) is in dollars. Find p(3). (simplify your answer.) Find p(13). (Simplify your answer.) An object dropped from rest from the top of a tall building on Planet X falls a distance d(t) = 14t2 feet in the first t seconds. Find the average rate of change of distance with respect to time as t changes from t1 = 2 to t2 = 7. This rate is known as the average velocity, or speed. The average velocity as t changes from 2 to 7 seconds is feet/sec. (Simplify your answer.) Suppose that a fashion company determines that the cost, in dollars, of producing x cellphone-sunglasses is given by Find C(401) - C(400)/401-400, and interpret the significance of this result to the company. Find C(401) - C(400)/401-400. C(401) - C(400)/401-400 = (Simplify your answer.) Find dy/dx. Find f'(x). Find the derivative. Find the derivative of the given function. Find f'(x). If f(x) = x, find f'(3). If y = 1/x 10, find dy/dx| x = 2. dy/dx| x = 2 = (Simplify your answer.) Find an equation for the line that is tangent to the curve y = x3-4x at the point(2,0). The equation is y = .For the function, find the points on the graph at which the tangent line is horizontal. y = x2 + 9 Select the correct choice below and, if necessary, fill in the answer box to complete your choice The point(s) at which the slope of the tangent line is horizontal is (are) .(Type an ordered pair. Use a comma to separate answers as needed.) The tangent line is horizontal at all points of the graph. There are no points on the graph where the tangent line is horizontal.

Explanation / Answer

1. table will be filled with -4.

2.

5. 5/6

6. dy/dx =x(-5/6) + 7/x2

7. f'(x) = x1/8 /2

8. - (15 /(7*x4 ))

9. (2*x)-2/3

10. 1/(2*sqrt(3))

11. - (10/ 211)

- (5/ 210)

12. y = 8*x -16

13. (0,9)

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