To minimize the product f(x) = x² + 170x, we must solve 0 = f '(x) = 2x + 170, which means X =

Q: 9. f √x³-1dx x

A: Given: I=∫x3-1xdx    ...1 As we know that; ∫11+x2dx=tan-1x+C

Q: (x- 2x +3)e-° dx.

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Q: Find the general solution using Reduction of Order: y''=2lnx

A: Explanation of the answer is as follows

Q: the estimate of solution to x=2^-x to 4 decimal places is what?

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Q: Please help to solve this integration problems

A: In this question we will use basic concepts of calculus i.e application of integration. We will…

Q: Why is there a need to solve for integrating factors?

A: We solve easily by using integrating factors.

Q: Show that √(10x + 1) and √(x + 1) grow at the same rate asx→ ∞ by showing that they both grow at the…

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Q: Estimate the root very near x = 0.2 of 2(x*)* - 3(x*} + 1 = 0 using the Newton- Raphson Method with…

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Q: When is the integration method used?

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Q: 3. Solve for the root with starting at x=1 and Ax=+0.1 and tolerance in function error of 0.001 Зx2…

A: (3) Given that f(x)=3x2+ln2x-6,  x0=1 Using the newton raphson, xn+1=xn-f(xn)f'(xn) At n=0,…

Q: Ununoctium decays naturally at the rate proportional to the original quantity. If there are 20 grams…

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Q: f the population of a certain county was 100,000 in 1998 and 110,517 in 2008 and the for- mula y 5…

A: Given, the population of a certain county was 100,000 in 1998 and 110,517 in 2008             and…

Q: 4. fx(1-x) dx

A: We can find the integration as below.

Q: Find the general solution using reduction of order. 1. y''=ln(x)

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Q: Find the general solution for y''=2t+3 by direct integration and by the method of undetermied…

A: Given that      y" = 2t + 3 Here we have to find the general solution by direct integration and by…

Q: dN + N = Ntet+2 dt

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Q: How do I find the shortest distance between y=x^2 and y=ln(x) ?

A: By using tangent of two curves we find the minimum distance as follows :

Q: 2. Suppose that the marginal revenue for a company manufacturing coffee machines is given by…

A: Given expression for marginal revenue of the company is: Q=100-0.5x where, Q is the marginal revenue…

Q: If Newton's method is used to find the critical number of f(x) = x® – x³ +x² – 2x with initial…

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Q: Find the particular solution by means of integration factor method if: (x* +1) +3x(y-1)=0 where y(1)…

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Q: Describe a first step in integrating x10 – 2r4 + 10x² + 1 -dx. 3x3

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Q: 2. Solve x². dy + 2xy = 4x³ using an + 2xy = 4x³ using an Integrating Factor. dx

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Q: Integrate (2x - 5) with respect to x from x = 2 to x = 5.

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Q: Find a double root of the equation f (x) = x' -x -x+1 = 0 by generalized New- ton's method.

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Q: 2. y" + 2y' + y = e-* In x

A: General solution of non homogeneous differential equation is sum of complementary part and…

Q: ln (x−4) + ln (x+1) = ln (x −8

A: We can use properties of log to slove the given problem. If we have  ln x + ln y Then we can write…

Q: I need to integrate 1/(sqrt(a^2+x^2)). If I let t=x+sqrt(x^2+a^2) where t>0, then how do I…

A: The given integral is,

Q: How do you integrate 25e^-x?

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Q: (2x+9 9 Jex dx

A:

Q: Investigate the root of the equation x+Ln x-5 = 0 in the range [3.2,4] using the Regula-Falsi…

A: Consider the given equation whose root is required to calculate.

Q: John is an epidemiologist. He is tasked to determine the rate at which the total average of COVID…

A:

Q: 3. Solve xy" – y' – 4x' = 8x' sin x² with change of independent variable method 4. Solve *+…

A: We are entitled to solve only one question at a time. In the question , the third term has to be…

Q: •2 5. Calculate | x In(3x)dx.

A: Given integral:

Q: Suppose that the marginal revenue for a company manufacturing coffee machines is given by 100–0.5x…

A:

Q: 3- Suppose a student carrying a flu virus returns to an isolated college campus of 8000 students. If…

A: let the number of students infected is x, therefore, the number of students not infected is 8000-x…

Q: Suppose that a drug is administered to a person in a single dose, and assume that the drug does not…

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Q: 3 (x²+2)

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Q: Suppose you use newtons method with x1=2 to estimate a solution to x3=2x+1. What is x3?

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Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A: NOTE: Refresh your page if you can't see any equations. . the cost function is the average cost…

Q: If integration using u-substitution technique is used to solve for ∫2e2x1−e4x dx/square root of…

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Q: Suppose a student is a carrier of the flu virus and returns to his isolated campus of 1000 students.…

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Q: 9) Suppose that the total cost of manufacturing x units of a certain commodity is C (x) = 2x2 + 6x +…

A: Given function is as below : c(x) = 2x2+6x+12marginal cost c'(x) =ddx2x2+6x+12…

Q: 17. Show that V10x + 1 and Vx + 1 grow at the same rate_ as x→o by showing that they both grow at…

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Q: dy 3-t=8 dt

A: As per our guidelines we only solve one question and rest of the question will be reposted. Hint: To…

Q: Suppose that the marginal revenue for a company manufacturing coffee machines is given by 100−0.5x…

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Q: (e3x+e-3x)/5

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Q: Use separation of variables to find the general solution of the differential equation. ely' = 3x5 +…

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Q: When should I use partial integration and when should I use substitution?

A: When should I use partial integration and when should I use substitution.