Consider the following function. f(t) = et2 (a) Find the relative rate of change. (b) Evaluate the relative rate of change at t = 18.

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

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Q: What is the average rate of change of the function f(t)=t2−7t  between  t=−5 and    t=−4?

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Q: Find the average rate of change of the function f(t) = 24t from t 5 to t 7.

A: Given     f(t) = 24 t²

Q: For the function f (x) = a-5a2. (a) Evaluate the average rate of change from r = -2 to r 1 (b) What…

A: Given, The function fx=x3-5x2 We have to solve for part a and b

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 f(x)=--2x 2+4…

A:

Q: Consider the function f(t)=1−2t+4t2 What is the relative rate of change when t=2? Give your answer…

A: Consider the function

Q: What is the rate of change of f (t) at t = 7.5?

A: The rate of change is calculated using differentiation. The derivative of f(t) at t=7.5 gives the…

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: Find the average rate of change of the function f (x)

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Q: What is the rate of change of y with respect to rfor this function?

A: Given,           The table represents some points on the graph of a linear function.

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 the g(x) function, what is the best estimate for the instantaneous rate of change at x=3? g(x)…

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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: Given the function f(x) = x2 -3 , calculate the average rate of change of the function from x=1 to…

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Q: For a certain animal, the surface area S of the body is related to the body's weight W according toS…

A: The surface area S of the body is related to the body's weight W according to S is:

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 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: Given a function f(x)=e2x−ex+1, what is the correct form of the relative rate of change R?

A: Given: The function is given by f(x)=e2x-ex+1   To determine:  The correct form of the relative rate…

Q: For the graphed function f(x) = (2)x+2+1, calculate the average rate of change from x = -1 to x = 0.…

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Q: Use Definition 1 or 2 to find the instantaneous rate of change of the function at the given value…

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Q: 1- Find the average rate of change for y == x, = 1 X = 2

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Q: Find the instantaneous rate of change for the function at the given value. g(t) = 4 – t² at t = - 6

A: Consider the function fx=x2+4x We have to find the instantaneous rate of change for the function…

Q: Consider the following function. f(t) = 20Vt – 1 (a) Find the relative rate of change. (b) Evaluate…

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Q: Given the function h(x) = x² – 7x + 6, determine the average rate of change of the function over the…

A: The rate of change of a function is given by it's derivative.

Q: Find the derivative of the function .

A: The given function is  ft=t23-t13+4

Q: what is the relative rate of change of  f(t)=t^4 evaluate the relative rate of change at t=1…

A: topic - derivatives

Q: 213 20 fet)= (9t+3)

A: The given function, f(t)=9t+323

Q: Consider the following function. f(t) = 100e0.2t (a) Find the relative rate of change.   (b)Evaluate…

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Q: Find the relative rate of change and evaluate at the given function

A: To find the relative rate of change we have to find f ' (x) [first derivative of f(x)]

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

A:

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

A: giveny =2x2+x-1 rate of change=4rate of change=dydxdydx=4x+1

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: Find the average rate of change of the function from x = 1 to x = 2. 10 f (x) : x2

A: first we differentiate function then we put limits

Q: Find the derivative of the function. f(x) : et? + 9

A: This question is about finding derivative of function.

Q: Find the derivative of the function. h(t)=(t^3/t^8+5)^2

A:

Q: Use Definition 1 or 2 to find the instantaneous rate of change of the function at the given value.…

A: The instantaneous rate of the function N(x)=1x, x=8

Q: Consider the following function. f(t) = 35Vt - 2 (a) Find the relative rate of change. (b) Evaluate…

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Q: #3 Find the instantaneous rate of change for the function f(x) = V3 – x at x = -6.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Calculate the average rate of change of the function f(x)= 15x-3x^2 near a=5 over the intervals…

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Q: Find the derivative of the function m: f(x)= e^x^3+4

A: Topic = Derivative

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: 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: Given the function fx) = 3" + 1, determine the average rate of change from x = O to x = 2. 47°F Cl…

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

Q: From the previous number, compute for the derivative value of the maximum magnitude. A. 20.4861 C.…

A: Find directional derivativeϕ=z sech-1y tan-1ln x in the direction of dx=2dy=-3dz at point e3, 0.5, 4…

Q: For the function given by g (x)= x² + 2x +1, find the average rate of change of function over the…

A: We will find the average rate of change of function as following.

Q: For the functiony = (x2 + 2)(x3 − 4x),at(−2, 0)find the following.(a) the slope of the tangent…

A: y = (x2 + 2)(x3 − 4x) = x5 + 2x3 - 4x3 - 8x = x5 - 2x3 - 8x Recall famous law of differentiation:…

Q: Find the derivative of the function. h(s) = −2√(5s2 + 3)

A: the given function is: hs=-25s2+3 we have to find the derivative of 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: Find the average rate Of change of.. f(x)= x²-1xI [3,2] on

A: Given: fx=x2-x, x∈2,3 we know that average rater of change of a functionfx on interval a,b is given…