TS 4= -Ix symmetric abut the x-axs? Yes? Nu2) WHY/ No?) WHY! Symmetnc abut the y-axio? Summestne abut the ORIGI?

Q: Evaluate ff, x² In(y + 1) dA where R = [0,1] x [0,1].

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Q: 4. Consider the following equation: й — 4 — 5у — 2 3 0. That is, y-double dots -4 y-dot –5y – 2 = 0.…

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Q: Approximate (26)3 by using a linear approximation.

A: Given, (26)1/3 so we can write (26)1/3=(27-1)1/3

Q: Find a real general solution. x?y" – 2y = 0.

A: The given differential equation is x2y''-2y=0. Clearly, the given DE is a second order Euler…

Q: 10. Solve: y" – 4y' + 4y = e2x x+1

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Q: The regression line was showing as incorrect but was accepted once I changed the x to r. d(r)=…

A: Given the data of the percentage of recovery and economic value as shown below Usually, regression…

Q: Given that Find 1 S₁ flxdx=-11 and S = f(x) dx = 10 3 S₁²³ fix dx =

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Q: 3√/t-1 S (³√t=¹) dt = 3 − 2t + c - C

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Q: Solving liker diff evential eauaTions dy +y = Xe %3D

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Q: 11. Reducing the General Equation One solution of the equation y" - 2by' + b²y = 0 is y₁(x) = ebx.…

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Q: Given (x-2)²-Inx=0. Show that it has a solution on [e, 4].

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Q: Find the solution of the following PDE using separation of variables method U - u, + u = 0.

A: To apply the method of separation of variables, let ux,y=XxYy be the solution. Differentiate the…

Q: Find solutions of the following equations b 4. 22+ af af 5. у- af = 0 = 0 dt dy

A: We will use method of  characteristics to solve the 1st order given differential equation

Q: Find the following antiderivatvie √8x-5dx A-2x-4 B. COLO 8 -6 5 X C-2x¯*+C D. 8 5 3-6+C

A: Explaination of the answer is as follows

Q: PLEASE HELP ME ANSWER WITH SOLUTION    18

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Q: 0.4=14-0.2x+x700.4=14+0.8x7028=14+0.8x0.8x=14x=17.5 liter The problem, as typed out above, is hard…

A: Solution

Q: 2. f(e³x + √x +9)dx 3x

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Q: Find an integrating factor that is a function of only one variable, and find an implicit solution:…

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Q: Are any of the operations used in Gauss’ method redundant? That is, can any of the operations be…

A: To determine: If any of the operations used in Gauss’ method is redundant. That is, if any of the…

Q: 1. х2у" — 20у%3D 0

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Q: 36 1 Väv vä+3 /x+3

A: Here we use u-subsitution method to solve the problem. Here we use two formulae

Q: Approximate (26)3 by using a linear approximation.

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Q: . An open-topped cylindrical can must contain V cm³ of liquid. (A typical can of soda, for example,…

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Q: x4+8x2+8 dx x3-4x е. f. (*+19x+10 dx 2x4+5x3

A: e)   Given data:   The given integral is ∫x4+8x2+8x3-4xdx.   The given expression can be written as,…

Q: Prove that LHS = RHS

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Q: Variation of Parameters у" — 2у' + у —— e* -

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Q: 12. 3c-2 C с2 -4c c-4 -1

A: We can solve the given problem by using cross multiplication method.

Q: Scientists are in search of a mosquito repellant that is more effective. To test the effectiveness…

A: To test the effectiveness of the new and current mosquito repellant, 100 bins are created with equal…

Q: dw d- when u = 0, v= 0 if w = x² + 2 x = 4u – 3v + 1, y = 4u + 5v – 1. x'

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Q: (d) Use Laplace Transform to solve the same DE with same initial conditions. Compare it with the…

A: For (d), We need to solve the following ODE with the initial conditions by using Laplace…

Q: Question 6 dx Using half-angle substitution, the integral is equivalent to 2+ sin x zp 1+z+z? dz…

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Q: 3x Question 4 Evaluate dx. 4 + e6x 3 Question 5 Evaluate dx. V4 – x2 | 3x Question 6 Evaluate dx. V4…

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