Let ​h(x)=x^2−8x.   ​(a) Find the average rate of change from 4 to 7. ​(b) Find an equation of the secant line containing (4, h(4)) and (7,h(7) is ?

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A: Given: Nx=0.03x2+0.315x+34.23x is no of years after 2000

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A: The solution for the above question is as shown below.

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A: According to power rule of differentiation, .

Q: 23. The slope of the tangent line indicates the rate of change of the function, also called the 24.…

A: Since, you have asked multiple question, we will solved the first question for you. If you want any…

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Q: calculate the derivative

A:

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Q: find the slope of tangent line to curve y^2+x^2=y^4-2x at (-2,1)

A: Given function y2+x2=y4-2x  We have to find slope of tangent line at(-2,1).

Q: Explain why the slope of the tangent line can be interpreted as aninstantaneous rate of change

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A:

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A:

Q: Find the slope of the tangent line to the curve y2+x2 = y4-2x at point (-2,1)

A:

Q: 4 at the point ( 6, The slope of the tangent line to the curve y is: 3 |

A: The  Slope of the tangent line is = -(1/9)

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Q: Find the slope of the tangent line to the curve x – 4xy + y° = - 23 at the point (- 3, – 2).

A:

Q: he slope of the tangent line is 0. Is the slope of the normal line is undefined? If yes, how can I…

A: Consider the given slope of tangent line is 0

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Q: x2/3 - y2/3 -y=1 ;(1, -1)

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A: Here y=x2+x-122 ⇒y'=ddxx2+x-122       =2x2+x-12ddxx2+x-12       =2x2+x-12(2x+1) for critical points,…

Q: 1. Describe the relationship between the derivative of a function to the slope of the tangent line.

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Q: Find the slope of tangent line for the equation x^2+y^2=5 on (1,2)

A: The given equation of the line is,

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A: Solved below

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A:

Q: 2. What is the slope of the line tangent to the curve 8x3-y²=4 at the point (1,-2)? CAL normal line…

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Q: The slope of the line through the distinct points (x1, y1) and (x2, y2) can be interpreted as the…

A: The slope of the line through the distinct points (x1, y1) and (x2, y2) is defined as…

Q: Find the instantaneous rate of change cope of the tangent line to 2 (3,-2) 1

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Exponential Growth Model

The relation that represents an exponential function is: