The population of the United States, in millions of people, can be estimated with the function P(t) = 282(1.01)', where t= 0 represents the population, P, in the year 2000 and tis measured in years. Whet ie the overege rote of ohornge of the neRulotion frem t.

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Q: Find an antiderivative of the following function by trial and error. Check your answer by…

A: we need to use trial and error method

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A: We use the power rule. Then we find f(x) and f'(x) at x=100

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A: Given,

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A: First obtain the derivative of the given equation as follows.

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A: It is provided that: f(t)=20t-40t+50. We need to find the minimum and maximum of the function: f(t)…

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A:

Q: Approximate f(x) to four decimal places. T(X) = 2 e 1.5x x= 0.5 f(0.5) 2 (Round to four decimal…

A: According to our guidelines we can answer 1 question at time, rest you can repost.

Q: The tangent line to the graph of y = ln(2x) is perpendicular to a + 4y = 1 at the point where…

A: Given, The tangent line to the graph of y=ln(2x) is perpendicular to x+4y=1 Here, y=ln(2x) To find…

Q: 公9 be the volume, in cm3, of a balloon at timet, in seconds. At 4t +1 4. Let the function v(t) %3D…

A: Differentiate wrt t

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A: Note: It is assumed that R is a constant. Follow the steps below to solve the given differential…

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A: EA = 0.0030056

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Q: Find the antiderivative of the given derivative. ds = 5t(212 – 1)3 dt

A: Solution:-  given that  dsdt=5t(2t2-1)3 now  using identity (a-b)3=a3-b3-3ab(a-b)

Q: 2. f(t) = -3t – 10

A: To find Laplace transform of given function we use the formula of Laplace transform.

Q: Find the approximate value of f 10. ' to 4 decimal places using e su

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Q: 2. Is the function G(x) = 2e -5 an antiderivative of the function g(x) = 6e"? Use the…

A: Given information: function Gx=2e3x-5 function gx=6e3x here, we have to show that, the function G(x)…

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A: Given: Let us consider the given, fx=acosbxx2 where a=345 & b=0.6 at x=5 using BDA with ∆x=0.06.…

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A:

Q: Differentiate the following function. y =x³ ex dy dx II

A: Our Aim is to differentiate the following function given below:-y=x3ex -(i)

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Q: 1. For the square root function f(x) = VT, (a) calculate an equation for the secant line connecting…

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Q: could you help please

A: To Determine: Anti derivative of the following function…

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Q: For what function P is the integrating factor α(x) equal to ex?

A: Here the given integrating factor

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A: y=a(sint-tcost), x=a(cost+tsint) To find dy/dx.

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Q: for the function f(x) = 2 cos(45x)o , determine:  the average rate of change for the interval 13  ≤…

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A: Given: A supply function for luminar lamps p=0.1x2+0.5x+15, where p is the unit price in dollars and…

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Q: We previously modeled daylight hours with the function f(t) = 12.13 + 2.77sin(πt/6-1.6), with t…

A: Given: Daylight hours model is given by, f(t)=12.13+2.77sinπ6t-1.6, where t is measured in months.

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A: Given average speed f(t) is ft=20t-40t+50   (measured in kph ( kilometre per hour))  Here, 0≤t≤4 (t…

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A: We will see the graph of secx to judge the value of greatest integer function of secx.

Q: 1. For the square root function f(x) = V, (a) calculate an equation for the secant line connecting…

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: What is the derivative of r(t)=e^(4t)costi+e^(4t)sintj+e^(4t)k

A: Differentiate both sides with respect to t.

Q: Find an antiderivative of the following function by trial and error. Check your answer by…

A:

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