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Scott, MIT Graduate

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I'm doing homework on line tangents and i'm stuck on this problem from a book (i have total of 7 questions that i need help with) 1. The equation for the line tangent to y=5-3x^2 at (-3,-22) is y= ??

2. Using the difination, calculate the derivative of the function. Then find the values of the derivatives as specified. f(x) = 6 - X^2; f '(-7), f '(0), f '(7) f '(x) = ????

3. Find the average rate of change of the function over the given intervals. F(x) = 7x^3 +7; A. [3,5] B. [4,-4] <<<< two part question

4. Find the average rate of change of the function over the given intervals. F(x) = 11x^3 +11; A. [3,5] B. [4,-4] <<<< two part question

5. Find the average rate of change for the function. f(x) = 1/x-2 BETWEEN x = -7 and x = 0

6. find f(a+h), f(a+h) -f(a) / h, and the instantaneous rate of change of F when a = 3 f(x) =1- 6x^2 f(a+h)=???

7. The revenue (in thousands of dollars) from producing X units of an item is modeled by R(x) = 14x - 0.01x^2. Find the marginal revene at x=400 . The marginal revenue is ____ dollars per unit

1. The equation for the line tangent to y=5-3x^2 at (-3,-22) is y= ?? 18x + 32

2. Using the difination, calculate the derivative of the function. Then find the values of the derivatives as specified. f(x) = 6 - X^2; f '(-7), f '(0), f '(7) f '(x) = -2x f'(-7) = 14 f'(0) = 0 f'(7) = -14

3. Find the average rate of change of the function over the given intervals. F(x) = 7x^3 +7; A. [3,5] 343

B. [4,-4] <<<< two part question usually the -4 would be first and the 4 second 112

4. Find the average rate of change of the function over the given intervals. F(x) = 11x^3 +11; A. [3,5] 539

B. [4,-4] <<<< two part question usually the -4 would be first and the 4 second 176

5. Find the average rate of change for the function. f(x) = 1/x-2 BETWEEN x = -7 and x = 0 I'll assume it's 1/(x-2) with the whole x-2 on the bottom. -1/18

6. find f(a+h), f(a+h) -f(a) / h, and the instantaneous rate of change of F when a = 3 f(x) = 1- 6x^2 f(a+h)= 1 - 6a^2-12ah-6h^2 f(a+h) -f(a) / h = -12a-6h Then taking the limit as h->0 and plugging in 3 rate when a = 3: -36

7. The revenue (in thousands of dollars) from producing X units of an item is modeled by R(x) = 14x - 0.01x^2. Find the marginal revene at x=400 . The marginal revenue is 6 dollars per unit

Let me know if you have any questions, and if you're all set, thanks for pressing Accept! Scott

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