The number of bachelor's degrees conferred has been increasing steadily in recent decades. The rate of change of the number of bachelor's degrees ( in thousands ) can be approximated by the following function where t is the number of years since 1970.  B ' ( t ) = 0.0651 t2 - 1.653 t + 15.72 Find B ( t ), given that about 845,200 new degrees were conferred in 1970       ( t = 0 ).

Q: Find the instantaneous rate of change for function at the given value. F(x) = x2 + 2 at x = 0

A: Given a function, F(x) = x2 + 2 at x = 0 To Find the instantaneous rate of change for function at…

Q: Find the average rate of change of g(x) : 4x – 4 from x = – 2 to x = 1. -

A: Given: g(x)=4x3-4

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Q: Find the average rate of change of g(x) = - 3x + 4 from x = – 4 to a = 1. -

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A: Proceed as shown below...

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Q: The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x2 units,    (40 ≤ x ≤ 60) where x is…

A: Given,          The monthly output at the Olek Carpet Mill is Qx=15,000+2x2 units , (40 ≤ x ≤ 60)…

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Q: What is the rate of change for h(x) = 8x - 9 on the interval [1, 4]?

A:

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Q: Find the average rate of change of g(x) 4x3 - 1 to x = 1. 2 from x -

A: our objective is to find the average rate of change

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A:

Q: Find the average rate of change of g(x)=x3-2x+1 (a) From -3to-2 (b) From -1 to 1 (c) From 1 to 3

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Q: If f(x) = 3x + 2x + 6, find the instantaneous rate of change of f(x) at x = 1. -

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Q: Estimate the instantaneous rate of change given the following: f(x) =5 at the point (-3, — 2/1) x+5…

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Q: Find x0 given that the rate of change of y =2x2+x-1 with respect to x at x=x0 is 4

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Q: for the function f(x)= √2x+3, estimate the instantaneous rate of change at x=5. use h value of 0.01

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A:

Q: currently 49 workers, find the instantaneous rate of change of monthly output with respect to the…

A: The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x2 units,    (40 ≤ x ≤ 60)  , where x…

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Q: Find the instantaneous rate of change for each function at the given value: . ƒ(x) = x2 + 2x at x =…

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Q: Numerically estimate the instantaneous rate of change of f(x)=e-x^2

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Q: estimate the instantaneous rate of change at the point indicated. f (x) = e^x ; x = 0

A: To find the instantaneous rate of change at x=0 we need f'(0) So we find f'(x)

Q: If f(x) = 5x2 − x3, what is the rate of change of f '(x) at (2, 12)?

A: To calculate the rate at which the given function changes at the given point

Q: Estimate the instantaneous rate of change of the function f(x)=2x^2−1 at x=1 using the average rate…

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Q: What is the average rate of change of the function f(x)=9x−8 between x=2 and x=3?

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Q: find the instantaneous rate of change of the function at the given x-value. f(x)=x2 + 3x at x=4

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Q: Find the average rate of change of g(x) 2x + 6 between x = 1 and x = 4 -

A:

Q: If f(x) = 12x2 − x3, what is the rate of change of f '(x) at  (−1, 13)?

A:

Q: Find the instantaneous rate of change for the function at the given value. f(x) = x² + 3x at x = 0…

A: We can find the instantaneous rate of change as below

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Q: Find the average rate of change of from y = x³ - 2x + 3 from 0 to x = 3. -

A:

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Q: 7. If f (t) = -t2 + 5t + 3, describes the distance that a ball has traveled in meters, what is the…

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Q: Find a formula for the average rate of change of f (x) = x^3 over [2, x] and use it to estimate the…

A: We use the average rate of change formula

Exponential Growth Model

The relation that represents an exponential function is: