Find the rate of change of x with respect to p. 4 x2 0 0.000001x2 + 0.09x + 5 dx dp ||

Q: .Find the instantaneous rate of change to the function f(x)= sin.x tan.x at x=- ? 4 а. 0 b. с. л d.…

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

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Q: The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on…

A: Average rate of change of f(x) on 3 ≤x ≤4 is f(4)-f(3)4-3

Q: Let B = 5 T as in Example 3. Estimate the instantaneous rate of change of B with respect to T when…

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Q: The function y = f(x) is graphed below. What is the average rate of change of the function f (x) on…

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Q: What is the closest value to the instantaneous rate of change of the following function at x = T?…

A: Ans:  Given  fx=2 cosx-π2  at  x=π          ⇒fx=2cosx coπ2+ sinπ2         ⇒fx=2cosx 0+sinx1…

Q: for S(x)=200((2x+1)/(3x+4))^0.5 Find the rate at which the S changes with respect to x

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Q: 7) Find the instantaneous rate of change of f(x) = ecos(z") + sin(In(8²)) at x = 1.

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Q: Find the rate of change of total profit, in dollars, with respect to time where R(x) = 4x and dx…

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Q: Find the average rate of change of the function g(x) = 1/√x+1 from x=0 to x=h and simplify your…

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Q: 2. If f(t) is the rate of change of some quantity, then what does f (t) dt represent?

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Q: Determine the value of 'a' so that the average rate of change of the function h(x) = x² + 3x + 2 on…

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Q: Find the average rate of change for the following on the given interval. Then find the instantaneous…

A: The average rate of change of f(x) in the interval x =1 to x =4 is a measure of the slope of the…

Q: The average rate of change of f(x) = sin(x) with respect to x as a changes from 0.5 to 1 is O 1 0 2…

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Q: Two students are calculating the instantaneous rate of change of y= sin(x) at x = Student A claims…

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Q: For what values of x is the instantaneous rate of change of the graph of y = sin x equal to 0? O and…

A: See solution below

Q: Let ?(x)=2x2+3x+1.Find a value of ? between 1 and 5 such that the average rate of change of ?(x)…

A: Formula used:

Q: 5. Find the instantaneous rate of change of the value function V in terms of t and N(t).

A: To find the instantaneous rate of change of the value function V in terms of N we will find dVdN…

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

A: Find the average rate of change of f from 0 to π2 .     f(x)=cos(2x)

Q: Find the average rate of change of f from 0 to π /6 . f(x)=sec(2x)

A: To find the average rate of change of function,from 0 to π6. f(x)=sec(2x) Solution: We know, Average…

Q: find the rate of change dy/dx where x=x0 y=x(1-x); x0= -1

A: We have to find rate of change of  y=x(1-x)at x=x0where, x0=-1

Q: For the function y = 4x2: (a) Find the average rate of change of y with respect to a over the…

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Q: What is the instantaneous rate of change of y=√√zat z=2? 0 ม O - O none of the above 0

A: The function is given by y = x To evaluate: The instantaneous rate of change of the function at x=2.

Q: 1. For function f (x) = 0.5*, state a) the average rate of change from x = -1 to x = 1 b) the…

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Q: If h (x) = x³ + 4æ² – 12x + 7 on the interval [-2, 4]: For what value(s) of C does h' (c) equal the…

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Q: 10 If g'(x) is the rate of growth of a giant redwood tree in feet per year, what does S g'(x)dx…

A: Given, g'(x) is the rate of growth of redwood tree in feet per year now, We have to define…

Q: tan(Cx) Va6+2 find the rate of change of P with respect to x, where C is a Given that P = constant.

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Q: 3x? 1. Find the rate of change ofY when x =2 X-1

A: Explanation of the answer is as follows

Q: Consider a function y = 1 / x a) Find the rate of instantaneous change of y with respect to x at x…

A: a) y = 1 / x dy / dx = - 1 / x2

Q: Find the rate of change of y with respect to x at the indicated value of x. y = csc(x) – 4 cos(x); X…

A: The given function is y = cosecx - 4cosx

Q: f(x)=x^3/2 Find average rate of change over interval [4,25]

A: The given function is

Q: The average rate of change of y with respect to x over the interval [0, 3] for the function y = 3x…

A: The function y=3x+2 over the interval 0,3

Q: Find the average rate of change of the function over the given interval. f(t) = 6t? - 3, [1, 1.1] |x…

A: Given: f(t)=6t2-3,  [1,1.1] Formula used:

Q: b) The rate of change of temperature of a cup of coffee is observed to be f(t) = 8e-0.zt degrees…

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

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Q: Find the average rate of change of the function from x = 1 to x = 2 10 f (x) = - Enter the exact…

A: Given:-f(x)=-10x2To find : average rate change of f(x) from x=1 to x=2

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: 8x Find the average rate of change of f from 0 to 3 f(x) = sin

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Q: 157 Epidemiologists in College Station, Texas estimate that t days after the flu begins to spread in…

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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   dx dp

A: We need to find first derivative of given equation with respect to p

Q: Under certain conditions, the efficiency e (in %) of an internal combustion engine is given by E =…

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Q: 2q 4 If p= qe Find the rate of change of p with respect to q when q-

A: we have to solve given problem:

Q: Find the rate of change of y with respect to x at the indicated value of x. y = csc(x) – 4 cos(x); X…

A: Given that y=csc (x) - 4 cos(x).   ; x=π6 let’s find y1

Q: Given f(x)=x2+5x+3, find the average rate of change of f(x) from x=−2 to x=t. Give your answer in…

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

A: The given function is  f(x)=sin x

Q: Find the average rate of change of ​f(x)=3x^2+3 a. From 1 to 3 b. From 3 to 5 c. From 1 to 4

A: Consider the given function.

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: DETAILS Find the indicated derivative. dp for p= q + 2 49-5 bp dp d +2 P dq [ 4q -5'q

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Q: Given the function f(x) = x which of the following is a valid formula for the instantaneous rate of…

A: The given function fx=x23 The instantaneous rate of change is given by limh→0fa+h-fah