If x is measured in months where x=0 represents January of 2000, and F(x) represents the US GDP measured in .132 millions of dollars, what does F'(x)dx represent? 120 The rate of change of the US GDP at x=120. The net change in the US GDP from January of 2010 to December of 2011. The total US GDP by December of 2011. The average value of the US GDP.

Q: y = In(xe®) Find the Derivative - d/dx

A: We can make it easier for you.

Q: What is the rate of change of y = ln x at x = 10?

A: To find the rate of change we have to find dy/dx

Q: tind the first derivative of the fanction i2 () =メ ニフ(x-1)

A:

Q: y = kx xe

A: y=xe-kxTo solve the derivative

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A: Given query is to find the second derivative of the expression.

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A:

Q: Locate the relative extrema of y = ln(x2 + 2x + 3).

A:

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A: This question is related to radioactive decay. We will solve this question by using property of…

Q: Find the derivative of the function.

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Q: e +e =e**

A:

Q: Find the derivative of the function y = ln(9 – e-ª).

A:

Q: A radioactive substance decays in such a way that the amount left after t years is given by A=100e…

A: Follow the procedure given below.

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Q: Find the derivative. y = e(ln x)2

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Q: A town library estimates that, when the population is x thousand persons, approximately y thousand…

A: A town library estimates that, when the population is x thousand persons, approximately y thousand…

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A:

Q: The blood alcohol concentration, C, of an adult male after consumption of one alcoholic drink can be…

A: →Rate of change of function f(x) is given by df(x)dx→Average rate of change of f(x) in the interval…

Q: Find the instantaneous rate of change for the function at the given value. f(x) =x+3x at x= - 1 The…

A:

Q: The half-life of a radioactive material is the time required for an amount of this material to decay…

A: Given,

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A: In this we are going to use decay formula so I'm providing hand written solution for this

Q: Find the equation of the line tangent to the graph of f(x) = (In x)? at x= 8.

A: f(x)= (lnx)2

Q: If x moves from a to a nearby value a + dx, how do you estimate the corresponding change in the…

A: First of all, consider a differential function f (x).Consider two points a and a + dx on x axis.The…

Q: The growth in the population of a group of rabbits is given by P(t)= 800e0.08t, where P is the…

A: use derivative for finding the instantaneous rate

Q: Excrcise 10. Find the derivative d -7x * [" (t³ + 2) dt dx

A: Given,          ddxx∫57xt3+2dt

Q: Because of job outsourcing, a town predicts that its public school population will decrease at the…

A: Given,           Because of job outsourcing, a town predicts that its public school population will…

Q: dx 2 Take the second derivative and evaluate I--1

A: Firstly, we will find first derivative of x42 by using the result that the derivative if x^n is…

Q: THe model for the growth rate of tumor known as the Gompertz Tumor Growth is given by the following…

A:

Q: (13) The blood pressure P measured in millimeters of mercury of an adult x years old is given by…

A: Given: P(x)= 40+25ln (x+1)  the limit 0 between 65 To find : Rate of change  of pressure of the…

Q: The rate of change of x is proportional to x. When t = 0, x0 = 3 and when t= 2, x = 6. What is the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: ii) y = e**-2x + x²-e

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Q: If an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continuously at…

A: Given: dPdt=0.071P, r=7.1% and initial amount invested is P0

Q: The rate of decay of radium is proportional to the amount present at any time. The half-life of…

A:

Q: (b) Find the derivative of y = log,(5x')+log, (sin.x)

A:

Q: IfI represents the intensity of light which has penetrated water to a depth of x feet, then the rate…

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Q: At a temperature of 20°C, the volume V (in liters) of 1.33 g of o, is related to its pressure p (in…

A: As per guideline we have to solve one question Please repost other question again

Q: Find the derivative of the function. f(0) = 3 ln(6)Pe

A:

Q: determine the instantaneous rate of change at x = 2 for f(x) = 5x2 + 3x + 7

A: Topic :- Differentiation

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A:

Q: A certain radioactive substance has a half-life of 38 hours. The rate of change in the decay is…

A: Solved below

Q: a manufacturer marginal revenue function of dr/dx=2000/√(4000-x) . if x is in rupees find the change…

A: Given: drdx=20004000-x

Q: (b). Find the second derivative. y=x²-5vx

A:

Q: 7. A radioactive material, Whatsuppium (Wu) decays according to the equation W (t) = 120(1.21)-t/5,…

A: W=120(1.21)-t/5

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

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Q: In an autocatalytic chemical reaction, the product form is a catalyst for the reaction. If Qo is the…

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Q: etermine the instantaneous rate of change of the function πt √√x sin (772³) dt : x = 1. x3 1 + √t

A:

Q: 11) Find the first derivative of y = (ln x)*

A: We have to find the first derivative of given function.

Q: Find the derivative of the function y = 1/ln(1 − 7x)

A:

Q: Because of job outsourcing, a town predicts that its public school population will decrease at the…

A: .

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.