12. Use the Limit Comparison Test to determine whether k³ + 3k-1 2k5+5k2-6 converges.

Q: Evaluate the following integral using inversion of order: of a dyda

A: Solution given below

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A: Let's solve given double integral.

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A: Solving the following limit problem,

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A: Let's solve given diffrential equation.

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A: Solution given below

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A: We know that the angle between two vectors u and v is θ = cos-1 u·vuv

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Q: Evaluate the following integral using change of coordinates: SR S x³ + xy² dedy where R is the…

A: Solution given below

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A: It is given that, w=fr,s,t, r=x-y,s=y-z,t=z-x.   The objective is to find the value of…

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A: The expression is  seccsc-13x+2

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A: Let's solve.

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A: In this question, we want to compute the length of the curve.

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A: Use workdone formula for finding the work

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Q: In Bernoulli equation y' - xy = xy³, the value of 1(x) is ex² False True O

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Q: Using Homogenous Equations solve in terms of y: xdy - ydx - √x² + y²dx = 0 –

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A: Find dy/dx  if xy+2x+3y=1

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A: I have stated the used formulas in the solution.

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A:

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A: To find out the double integration.

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A:

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Q: Let à = and b = . Find k so that a and b will be orthogonal (form a 90 degree angle) k-

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Q: The symmetric equation of the line that passes by P(1, -1, 1) and Q(3, 2, -1) is: Select one: ㅇ블 x+1…

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Q: (1) (x²+2x) dx = (3 - In x²) dy separable exact linear in x linear in y homogeneous Bernoulli in x…

A: As per our norms we have to write one question at a time kindly repost remaining questions.

Q: Write an equation of the line below. -8 -7 -6 -5 -4 -3 -8 -7 -6 5. 4 6 17 8 X

A: Solving the problem by finding the value of the problem.

Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y - z = 1…

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Q: a) Find the value(s) of y such that the vectors U₁ = and U₂ = are parallel.

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: H.W: find dz and əz | ди ὃν z = 4e* ln y, x = ln(u cos v), y = u sin v as functions of u and vif:

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Q: 4677×34677

A: 4677×34677= 162184329

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Q: find the divergence of F. I Y F(x, y) = -√2²17³1 + √z²+z³³ +y O div F = 2(x+y+z) O div F= 1 1²+y²

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Q: f(x)=√√5x - 8 around the x-axis over the interval [2, 4].

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Q: The solution of Yh = e²x (c₁ cos x + C₂ sin x) homogeneous part (yh) of the equation y" - 2y' + 5y =…

A: Let's solve.

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A: Explanation of the answer is as follows

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A:

Q: The Maclaurin series of the function f(x) = 8x² sin(6x) can be written as f(x) = Σ₂² n=0 where a few…

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