ONLY USE VARIABLE SEPARABLE, HOMOGENOUS, EXACT, AND INTEGRATING FACTOR TO SOLVE THESE PROBLEMS:

Q: Find the number x in the interval so that the difference of the number from thrice its cube is…

A: Solution is given below:

Q: Use Newton’s method to find the two zeros of x^2 + 4x − 8.

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Q: Find two numbers such that their difference is 5 and their product is minimum.

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Q: Find a real root of the equation x^4-x-10=0, using Newton-Raphson method correct to four decimal…

A: We have the equation x4-x-10=0 Now, we need to use the Newton-Raphson method to find the root. By…

Q: Work this problem by hand. Let

A: Given,       A=0110, and  q0=abT, where a, b≥0, and a>b.

Q: 2x и"(х) — и

A:

Q: solve e^-x=lnx using bisection method.

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Q: f(x) Vx+1

A:

Q: Find a real root of 4*exp(-x/2)-3*ln(x)-3 = 0 using False Position method with a=0.1 and b=2.0…

A: f(x)= 4*exp(-x/2)-3*ln(x)-3

Q: To apply integration factor method, we need to have coefficients?

A:

Q: x² dx /1 + 2x 3

A:

Q: Determine the real root of f(x)=5x3-2x2+3x-1. Iterate until the estimated error falls equal to or…

A: Given that:f(x)=5x3-2x2+3x-1

Q: -0.3x (49 — х?)о4

A:

Q: End the Solution of %3D dre 11

A: We need to find the solution of following integral ∫x254x5+13dxLet…

Q: Find the explicit solution of the separable equation

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Q: How do I find Sec(2) with minimal calculator use?

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Q: Determine the real root of f(x) = 3x^3 + 2x + 6. Iterate until the estimated error falls equal or…

A:

Q: order

A: Given function is: fx,y=cos2xy2-3x2y3 Then we get,…

Q: Use layman's term to discuss Broyden's method for solving nonlinear equations.

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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: Find the general solution using Integrating Factors Found by Inspection

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Q: Find two positive numbers whose sum equals 100 and who maximize the square root of their product. X…

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Q: ) Find the integration: V1-X

A: Given integration, ∫032dx1-x2

Q: Solve the following PDE using the method of separation of variables and Fourier:

A: In this question, we solve the given boundary value problem by using the separation of variable as…

Q: Find the maximum of f(x) = 30x4 − 121x3 + 60x2 + 64x USING Newton’s method (x0 = 4, εs = 1%)

A: Given, fx=30x4-121x3+60x2+64x With initial point, x0=4 Differentiating the given equation up to…

Q: Find a root of an equation f(x)=2x3-2x-5 using Newton Raphson method

A: We will find out the required root.

Q: A rectangle is bonded by the X axis and the Parabola f(x)=16 - 0.25x^2. What length and width should…

A: NOTE: Refresh your page if you can't see any equations. . the length of the rectangle is  and the…

Q: If the total cost function for producing x lamps is C(x) = 2160 + 32x + 0.6x2 dollars, producing…

A:

Q: Obtain the general solution using separation of variables

A: Given: dx=t1+t2sec2xdt To Find: General solution using sepration of variables Concept: (a).…

Q: Solve by using gamma funcien. 2.2

A: We find value of Gamma (-2.2)

Q: Solve the attached equations  by the method of undeterminedcoefficients.

A: Given- d2ydx2-3dydx=e3x-12x To find- The general equation of the above differential equations.

Q: 3 (x²+2)

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Q: if we have the following polynomial regression function Yi=5-24X+2(X^2)+ei. then the value of Xi…

A: An estimated polynomial model of y on x of order 2 can be written as

Q: Find a root of an equation f(x) = 2x3 - 2x - 5 using Newton Raphson method %3D

A:

Q: 12. [ xv2 − xdx x√2

A: ∫x2-xdx

Q: A piece of cardboard measuring 11 inches by 12 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 11 inches by 12 inches is formed into an open-top box by cutting…

Q: me

A: Given that, The first integral is ∫xsinx2-2dx and the second integral is ∫sinx1+cos2xdx. Calculate…

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

A: The given function is fx=x2+170xTo minimize, let f'(x)=02x+170=0To find x

Q: An open box is to be made from a square piece of material, 12 inches by 12 inches, by cutting equal…

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Q: Find a quadratic function with a root at X 5i that also includes the point (2, 14).

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Q: xdx √2x-1 1.5.

A:

Q: Evaluate 3x3 – 2x2 + 4x – 8 - x4 + 4x2

A: Let the given integral be I - I = ∫3x3-2x2+4x-8x4+4x2dx = ∫f(x) dxThen,f(x) = 3x3-2x2+4x-8x4+4x2f(x)…

Q: What is meant by integrating factor?

A:

Q: The sum of two positive numbers is 16. What is the smallest possible value of the sum of their…

A: Let x and y be the values of the two positive numbers whose sum is 16. Need to minimize the…

Q: If the total cost function for producing x lamps is C(x) = 3920 + 38x + 0.8x² dollars, producing how…

A:

Q: хр xpz(x+1), xex (1+x)2"

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: a. e¯* – 3logx = 0 ||

A: Consider the given function as, fx=e-x-3logx Let root lie between 1 and 2 First find f1 and f2…

Q: If the utility or profit function for a product is: U (x) = 5,600x + 85x ^ 2-x ^ 3-200,000 dollars,…

A: If the utility or profit function for a product is Ux=5600x+85x2-x3-200,000 dollars, will selling…

Q: Find the antiderivative of (2* square root of x) + (3/x^4)

A:

Q: Calculate one of the roots of the equation f(x) = x ^ 3 + x ^ 2 - 2x - 4 = 0 with an error less than…

A: Solution is provided below