Find the instantaneous rate of change of the following function at t = 0 f (t) = /3t + 1 3/2 O 2 O 7/2 O 1/2 O 5/2 O 9/2 O 0 أخری

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

Q: A particle is traveling upward and to the right along the curve y = ln x. Its x-coordinate is…

A: Given:

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A: Given: h(x)=x2-2x+3

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

A: Given  y=3x-2.

Q: Find the instantaneous rate of change Of the function at the Speciried value of X flx)=X?-2; X -3

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Q: The Ideal Gas Law is PV = mRT where P is the pressure, V is the volume, m is the constant mass, R is…

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Q: amount

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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: Let r be the reciprocal of a number n. /hat is the instantaneous rate of change of r with respect to…

A: Let r be the reciprocal of number n ⇒r=1nNow,instantaneous rate of change of r with respect to n…

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A: Given function is F(x)=cos(x-pi)+4 where x=pi We are going to find the instantaneous change of this…

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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: Find the average rate of change of the function over the given interval. f(t) = 4t + 8, [3, 4]…

A: Given ft=4t+8Average rate of change of function within a,b is given by ,=fb-fab-a

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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: Given the function f(x) √x f(x) = COS 2 1 + √r dr Determine the instantaneous rate of change at x =…

A: Using Leibniz rule of derivative

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

A: Given function is fx=-1x. To find the average rate of change of the function over the given interval…

Q: Find the average rate of change of y with respect to x if x changes from 3 to 5 in the function y =…

A: The formula for average rate of change from a to b is : f(b)-f(a)b-a

Q: A population of insects increases at a rate of 260+6t+0.3t2 insects per day. Find the insect…

A: Rate of increase of population  of insects  dPdt = 260 + 6t + 0.3t2 per day

Q: Suppose that h = 2x'y, where both x and y are changing with time. At a certain instant when x = 1…

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A: Given: fx=3x-5 To Find: The average rate of change of the given function from x=0 to x=4

Q: 32. y = - on [1, 3]

A: Given information is as below: y=1xinterval [1,3]

Q: Find the average rate of change of h(x)=x2-2x+3 (a) From -1to 1 (b) From 0 to 2 (c) From 2 to 5

A: Concept - If we have a function f(x) with x from a to b,thenAverage rate of change of function =…

Q: find the average rate of change of the function overthe given interval or intervals. g(t) = 2 + cos…

A: Given, g(t)=2+cost, -π,π The average rate of change of function f(x) over an interval [a,b] is,…

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Q: Suppose x and y are functions of third variable t. In the equation *+y=45, what are the values of…

A: Given,   x2+y2=45To find dydt, when dxdt=-2 and x=3

Q: Estimate the instantaneous rate of change of P(t)=3t^2− 6 at the point: t =

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Q: Determine the instantaneous rate of change of the function f(x) = [x² si sin (2¹) 1+√t x3 At x=1 dt

A:

Q: What is the average rate of change of y = cos(2x) on the interval 0,? a. = b. -1 с. О d. 4 e.

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Q: Find the average rate of change of the function over the given interval. y=3x+ 1%3; between x= 1 and…

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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: Determine the instantaneous rate of change of the function y = 5x + 2x² 1 with respect to x at x-4.…

A: Find instantaneous rate of change

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: Find the instantaneous rate of change of y =- at x = a

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Q: find the average rate of change of the function overthe given interval or intervals. g(t) = 2 + cos…

A: gt=2+cost,  0, π

Q: Find the average rate of change of y with respect to x in the interval from x=5 to x=6 and the…

A: We have to find the following conditions

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Q: Determine the average rate of change of the function y = cos x from x = 4 77 to x = 4 v2 V2 2 2

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Q: (d) Compute the driectional derivative of f at (1,2) in the direc- tion u = (e) • point (1, 2)? What…

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Q: Determine the instantaneous rate of change of the function √ sin sin (2³) f(x) = [x² x3 At x=1 dt…

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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: Find the average rate of change of g(x) = 6x + on the interval [-1, 1].

A:

Q: Estimate the instantaneous rate of change of the function f(x)=−x2+2x at x=−2 using the average rate…

A: We have been given a function f(x) = -x^2+2x and we need to find its instantaneous rate of change at…

Q: What is the result of integrating a population growth rate betweentimes t = a and t = b, where b…

A: Integrating a population growth rate between a to b that is ∫abRatedt

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Q: 1. What is the average rate of change of the function f(x) = x? - 3x over the interval [1,3]?

A: Given function, f(x)=x2-3x over interval [1, 3]

Q: What is the rate of change of y = In x at x = 1 O?

A: Given: y=lnx at x=1

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A: Given function f(x)=5x2-7x

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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Exponential Growth Model

The relation that represents an exponential function is: