Find the rate of change of the speed of sound v (in m/s) with respect to air temperature T (in kelvins), where v(T) = 20VT. (Use symbolic notation and fractions where needed.) v (T) = m/s

Q: Find the rate of change of the fucntion f(t)=4t^2-5t-3,[x,x+h

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Q: the rate of change in thr profit (p) with respect to the number of units sold (x) is 0.0006x^2 +10.…

A: We can use the given equation to solve for profit

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

A: Given gx=-3x3+4We have to find average rate of change from x=-4 to x=1when…

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)…

Q: Find the average rate of change of g(x)=8x^4+8/x^2 on the interval [-1, 3].

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Q: f 4/9 of a 3rd-grade class are boys, what is the boy co girl ratio in this class?

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Q: Find the average rate of change of f(x) = 2x-7 from x = 3 to x = 6. Simplify your answer as much as…

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Q: For the function y=x2,compute the average rate of change between x=9 and x=10

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

Q: Find the average rate of change of h (x)=-2x +4x from x=-2 to x=2. Simplify your answer as much as…

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Q: Find the average rate of change of f (x) = -x+5x+1 from x=2 to x=7. Simplify your answer as much as…

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Q: find the average rate of change from f(4) to f(10) in the function f(x)=x2+3

A: We have to find the average rate of change from f(4) to f(10) in the function f(x) = x2 + 3 We know…

Q: Compute the average rate of change of h(x)=Sqrt(x) over the interval [3, 3+x]. Simplify the…

A: To  Compute the average rate of change of h(x)=Sqrt(x) over the interval [3, 3+x].

Q: Find the average rate of change of f (x)=-x+3x+6 from x=2 to x=6. Simplify your answer as much as…

A: Given:- f(x) = -x2 +3x+6  To find:- Average rate of change of given function from x=2 to x=6

Q: Find the average rate of change of g (x) = -x* +4x+2 from x = 3 to x = 7. Simplify your answer as…

A: See picture added

Q: Given the function f(x) = x² + 12x. (a) Find the average rate of change as x changes from 3 to 5.…

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Q: find the rate of change. The reciprocal 1/x with respect to x when x = 1, 2, 3

A: The rate of change of a function is the value of the derivative of the function; thus, let the…

Q: Given f(x) = x² + 7x, find the average rate of change of f(x) on the interval [ – 1, –1+ h]. Your…

A: Given,          fx=x2+7x on the interval -1,-1+hWe know that,           The average rate of change…

Q: Assume that the rate of change of air pressure with altitude (distance above the earth) is…

A: Topic:- Differential equation

Q: Given F(x)=1/X+2,  find the average rate of change of  f(x) on the interval [2,2+h

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Q: to determine the instantaneous rate of change c Use f(x+0.0001)-f(x) 0.0001 f(x) = 5x² - 7x ata = 2,…

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Q: Find the average rate of change of g(x) = −3x^2+2 from x = −5 to x = −1. Simplify your answer as…

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Q: For function f(x) = 2" , state a) the average rate of change from x =1 to x=5 b) the instantaneous…

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Q: Find the average rate of change of h (x) = 2x² – 7x from x = 3 to r = 6. Simplify your answer as…

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Q: The length of a rectangle is 5t+5 and its height is , where t is time in seconds and the dimensions…

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Q: The description of body-heat loss due to convection involves a coefficient of convection, Kc, which…

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Q: Given f(x)=−x2 +5x−1, find the average rate of change of f(x) from x=3 to x=t. Give your answer in…

A: Calculation:The given function is f(x) = -x2+5x-1.Substitute x = 3 in the f(x) = -x2+5x-1.

Q: Given (f)= 1/x + 4, find the average rate of change of f(x) on the interval [5,5+h]. Answer with an…

A: A detailed solution is given below

Q: Find the average rate of change of g(x) = 4x+5 from a 3 to = 4

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Q: for f(x)=3x^2, find the average rate of change of the function over the interval [0,2].

A: For the function fx=3x2, to find the average rate of change of the function over the interval [0,2].…

Q: Given f(x) + 4x + 2, find the average rate of change on the interval [1, 3].

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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

A: The instantaneous rate of change of f at x = a is f'(a), if it exists,

Q: An oral medication is absorbed into the bloodstream at the rate of 7e−0.04t milligrams per minute,…

A: An oral medication is absorbed into the bloodstream at the rate of 7e-0.04t.

Q: from the edge of a cliff into described by the function ht rate of change in the height - 4.9t² +…

A: Formula average height change=(h(b)-h(a))/(b-a) Where a=4second b=5second

Q: If V(t) is the volume of water in a reservoir at time t (seconds), v(t) is the rate of change,  then…

A: Rate Change: Rate change is defined as the change in one quantity with respect to any other quantity…

Q: Find the average rate of change between the x values. f(x)=7x+1; x=3 and x=4

A: Consider the provided function and given values of x:

Q: Find the average rate of change of h(x) = x + 4x + 11 on the interval -1, 3]. O 15 60 O 51 -15 -5

A: Consider the following function: hx=x3+4x2+11 Average rate of change of hx on the interval -1,3:…

Q: Find the average rate of change of g (x) = 3x – 2x from x=3 to x=7. Simplify your answer as much as…

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Q: Find the rate of change of x with respect to p. p =  9 0.000004x2 + 0.05x + 8,    x ≥ 0

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Q: Given the function f(x)=4^x-2 , explain and show how to find the average rate of change between x=2…

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Q: Find the average rate of change of g(x) = 5x^4 + 6/x^2 on the interval [-1, 2]

A: the average rate of change of g(x) over the interval [-1,2] is:

Q: Find the rate of change of x with respect to p. 900 – x p = 0 < x< 900 бх

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Q: Find Average rate of change f(x)こメ?+レメ from X,=3 to X2=40

A: Givenfx=x2+6xx1=3,x2=4

Q: Find the average rate of change of f (x) = 2x- 8x from x= 2 to x = 5. Simplify your answer as much…

A: We will find the average rate of change.

Q: Find the average rate of change of f(x) = 7x² – 4 on the interval [3, b]. Your answer will be an…

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Q: Find the average rate of change of f(x) = 3x-8x from x 1 to x = 6. Simplify your answer as much as…

A: average rate of change=  f(b)−f(a)/b−a a=1 b =6 f(x) = x(3x -8) f(a) = 1(3-8) = -5 f(b) = 6(18-8) 60…

Q: Find the average rate of change of g (x) = 2x - 8x from x=2 to x= 6. Simplify your answer as much as…

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Q: Find the average rate of change of g(x) = 7x* + 6. on the interval [-3, 3].

A: This question can be solved by calculating the value of function at x=-3 and x=3

Q: Find the average rate of change of h (x) = -2x+4x from x -2 to x 1. Simplify your answer as much as…

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Q: Find the rate of change of x with respect to p. p= 9/ 0.000004x2 + 0.05x + 8 ,  x ≥ 0

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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