2. What is the average rate of change of the function f (x) = x² – 3x over the interval [1,1.01]?

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Q: Find the average rate of change of f(x) = x² - x + 1 from x, = 1 to x, = 3. %3!

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Q: Find the average rate of change of f(x) = cos x from 0 to π /2 .

A: Given: fx=cosx  0,π2

Q: Find the average rate of change for function over the given interval.

A: Given  y=3x-2.

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Q: Find the average rate of change of f(x) with respect to x on the interval. f(x)= x^2 -5x+1; [-3,0]

A: f(x)=x2-5x+1;-3,0 We need to find the average rate change of f(x)

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Q: 4) Find the derivative of the function: x* cos x h(x) %3D Vx2 + 1

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A: Givena function y = 5x + 7, between x = -1 and x = 0 Average rate of change for the function over…

Q: Find the average rate of change of f(x)=x² – 5x from: x, =-1 to x, = 3

A: We will find the average rate of change of the function.  We know,  the average rate of change =…

Q: Determine the average rate of change of the function y = sinx from X = 0 to x = 2 O1 2

A: The average rate of change of the function f(x) can be calculated using the formula Average rate of…

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Q: Estimate the true percent relative error for the first derivative of the function, y =[eln)P, at x =…

A: We can solve this using Central difference formula f'(x) = (f(x+h) -f(x-h))/(2h)   The value of…

Q: 1. f(x) =In (ta n"x)

A: Given query is to find the first derivative of the expression.

Q: Let f:[-n, 7] –→ R, where f(x) = 2 sin (2x) – 1. TC Calculate the average rate of change of f…

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Q: . What is the average rate of change of the function g(t) over the interval from t=atot=b? How is it…

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Q: Find the average rate of change of f from 0 toπ/2 . f(x)=sin( x/2)

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Q: 17. For f(x) = x*, the instantaneous rate of change is known to be –32 at x = -2. Find the equation…

A: the given function is f(x) = x4 rate of change dydx=-32,          at x =-2

Q: 7. Find the equation of a normal to y = x³ - 3x²+x-1 at x = 3

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Q: 1. Find the centered difference approximations of 0(h^4 ) for the first derivative of y=sin(x) +…

A: As per the policy, we are allowed to answer only one question at a time. So, I am answering the…

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Q: Suppose that a company’s marginal revenue from the manufacture and sale of eggbeaters is dr/ dx = 2…

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Q: The average rate of change of the function y = x² in the interval 2 sx< 5 is %3D

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Q: Find the (a) approximate error and (b) relative approximate error of the following: The derivative…

A: Note:- For this problem, you don't mention any particular method and anything about h. So, I'll try…

Q: The average rate of change of the function y = sinx over the interval [0, ]is 4

A:

Q: The average rate of change of f(x) = cos(x) with respect to x as a changes from 0 to π is 2 OOO 2 -2…

A: We have to find the average rate of change.

Q: 7) Find the average rate of change of the function A(x) = sin ( 2x - -) from x = to x =

A: A(x) = sin(2x - π/6) A(x2) = A(5π/6)          = sin(2*5π/6  - π/6)          = sin (9π/6)          =…

Q: Find the average rate of change of the function over the given interval. y = V4x + 1; between x =0…

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Q: The domain of the function shown here is [Select ] The derivative of f(x) DNE at x=-1 because […

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Q: Find the average rate of change of the function over the given interval. Compare this average rate…

A: Average rate of change: Average rate of change of any function f(x) of [a, b] is, fave=fb-fab-a…

Q: 1. Find the average rate of change in y with respect to x over the interval [1, 7]. 2. Use the…

A: Given that: The function is f(x) = 4x -3 .

Q: What is an average rate of change of function f(x) over the interval [1, 6]?

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Q: Find the average rate of change of the function on the interval specified Y=1/x on [1,3]

A: We know that ,The average rate of change of function over an interval a,bis given by f(b)-f(a)b-a

Q: 3. Find the average rate of change of the function f(x) = sin x, [0, t/6] over the given interval.…

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Q: 2. If f(x, y) = 1/(xy), the marginal pdf of X is (log x)/y.

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Q: Find the gradient of the tangent to the curve xy“ + y+ ( log_(x – 2))² = 14 at the point (3, 2).

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Q: 1 f(x) = (x² + 3x)² at [2,3]

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Q: Estimate the true percent relative error for the first derivative of the function, y =[e!n(x)72, at…

A: We can solve this using Central difference formula f'(x) = (f(x+h) - f(x-h))/(2h)     x 0.95 1…

Q: Find the average rate of change of the function f(x) = x 5x - 1, over the interval [-1,3

A: