8. Use the Gaussian elimination method to solve for all the variables in the following set of equations 2x+3y-2z=3 3x+2y-z=7 3x + 4y + 2z=23 I

Q: (2) Show that y=x sinx is a solution to y"+y= 2 cos x.

A: To Show: y=x sinx is a solution to y''+y=2cosx

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A:

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A: Given differential equation is :

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A: We need to find,   ∫-1010(0.002x4-0.3x2+4x-7)dx

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A:

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Q: 03: Evaluate the following integrals: (5) √cotx.csc4 x dx

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Q: ) identify the technique of integration most appropriate b.) Find the average value

A: Here we have to use the concept of integration

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A: As asked we can answer question no 1 and 4 as below.

Q: X (A) (2) +²2+ (x²+5)) 2x dx + (x+y)dy = 0 - 40 + (8 +)

A:

Q: For which of the series below the Integral Test can be used to determine whether the series is…

A: Recall the integral test:If fx is continuous, positive, decreasing on the interval k,∞ andfn=an…

Q: If f '(4) = 0 and f '(x) 0 for 4 < x < 5 then f has a local minimum at x = 4. True False

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Q: Q5: Find the sums of the following (geometric series): 3n-1 - 1 6n-1 n=1

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Q: Evaluate the integral f sin²x cos³xdx.

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Q: Hi, I am unable to click on link to follow steps since the work is show as an image. Can someone…

A: Taylor expansion of f at x=a : f(x) ≈ ∑n=0∞ fn(a)n!(x-a)n = f(a)+f'(a)(x-a)+f''(a)2!x-a2+...

Q: 4. For the function f(x)= 7x - 5 apply the difference quotient simplify your answer. f(x+h)-f(x) h…

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Q: (2xy²-2y) dx +(3x²y - 4x)dy = 0

A: The given differential equation is;  (2xy2-2y) dx+(3x2y-4x) dy=0

Q: Suppose that f(x, y) A D Then the double integral of f(x, y) over D is f(x, y)drdy = and the region…

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Q: Find y = f(x), given d²y dx² = f'(x) = 2* In 2 + 2ex -x-² +2

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Q: Solvedy =dy +4y=2= dx

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Q: J 1. Fin Find 2x³ (6 + x) dx TU

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Q: Evaluate the following integrals C. [x√x + 1dx

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Q: convergence : 00 Σ+1*. n=1 1 n 10n (x - 2)"

A: We will use  Ratio-Test to find the solution

Q: 1. Given a. b. C. [(5x + + + + 1) dx Evaluate the indefinite integral above Evaluate the integral…

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Q: Evaluate the following triple integral by hand: 2 }}} ij X'√= dxdydz= y³ z=1 y=2 x=-1

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Q: [x² (-2 + x² )* dx

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Q: Differentiate: 4. y = 6* log7 x

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Q: Solve dy dx +4y=2.

A: Solving the differential equation by seperation of variables

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A: Given: B'(t)=0.621t2-1.213t+15.55

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A: Acccording to question,Given equations,x = ty = t2andz = 23t3andr = t i^ + t2 j^ +  23t3 k^

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Q: Q2-Solve the differential equation dy = - y xcos² (-) dx

A: I am attaching image so that you understand each and every step.

Q: Q4-Find the complex roots of (4 + 4i)ō * (4 + 4i) (Demoivere's formula)

A: given