e following improper integral. If it converges, enter its value. Enter infinity if it diverges to oo, and -infini es. 4 converge or diverge? ? +1

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A: To Find : a) A vector oppositely directed to v=17,-8 and hal the length of vb) A Vector that as…

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Q: DIFFERENTIAL EQUATIONS Solve the following application problems. *show the every details of your…

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Q: 18. Determine if the equations are exact or not then solve for the general solution. a. (e*(x²y² +…

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Q: Prove from the precise definition of a limit: lim x = 4 x-2

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Q: 13. dx = + C 2 6.

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Q: Find Duf at P. 2. f(x, y, z) = 4x³y°z²; P(1, –2, 1); u = i+ Duf = i

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Q: Eind the conorel ond norticulor solution of the linoor first order oguot

A: Given query is to find the solution of the differential equation.

Q: =i-j+ 2k and Find the area of the parallelogram that has u v = 2j + k as adjacent sides. NOTE: Enter…

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Q: r1–z p1 y2 Try to change the order of integration and rewrite the above integral as equivalent…

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (3, –4)…

A: A detailed solution is given below

Q: Use any method to determine whether the series converges or diverges. 00 k + 27 k= The series…

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Q: Using Jacobi Method solve the following system: 2х1 — 6х2 — Хз — —38 -3x1 - x2 + 7x3 = 34 -8x1 + x2…

A: Given that the system of equations are 2x1-6x2-x3=-38-3x1-x2+7x3=34-8x1+x2-2x3=20. First check…

Q: 3. Given that 3e¬4rt + 2se" – 4w²rt = 3. aw (a) Find using implicit differentiation. at (b) Find at…

A: “Since you have posted a multiple question, we will solve first question for you. To get remaining…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Find parametric and symmetric equations for the line satisfying the given conditions. Through the…

A: Given query is to find the parametric and symmetric equation.

Q: (a) Write a nonrecursive formula for the term of the arithmetic squence a based on the given…

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Q: Evaluate the integral using Integration by Parts. (Use symbolic notation and fractions where…

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Q: Find y' in the function In (xy + x+ y) = 2 using implicit differentiation.

A: The given equation is: ln (xy+x+y)=2...(1)

Q: . Use separable equations to find the general and particular solution of xy dx – (x +

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Q: 1. Given: - 4r? with f'(x) = (x+2)2 (r+8)(r - 2) (x+2)3 8(7r-4) (r+2)4 f(r) = and f"(x) = %3D %3D…

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Q: 3" Σ 2. Use a direct comparison to test the convergence of 4" +n

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Q: 1 Verify if y = -+; xy + y = x² is a solution of a differential equation.

A: We have to verify the solution

Q: Find the limit. Use L'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: Two​ neighbors, Wilma and​ Betty, each have a swimming pool. Both​ Wilma's and​ Betty's pools hold…

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Q: 2. Evaluate the following limits. /x²+3 d. lim X-0- X

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Q: Let g be a function that is defined for all x, x # 2, such that g(3) = 4 and the derivative of g is…

A: Here, g(3)=4 & g'(x)=x2-16x-2, x≠2

Q: Determine if the following statement is true or false. The points P1(12, 9, 9), P2(6, 3, 0), P3(0, –…

A: A detailed solution is given below

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Q: Show that the lines L1 : x =1– t, y = 2t, z = 4+t and L2 : x = 1+ 3t, y= 3 – 6t, z = 5 – 3t are…

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Q: Evaluate using Integration by Parts. (Use symbolic notation and fractions where needed.) xeSx+6 dx…

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Q: Set up and evaluate the integral for finding the area and moments about the x- and y-axes for the…

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Q: Solve the initial value problem. - + 4y = 7, y(0) = 1 dt The solution is y = O

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Q: Calculate the value of the integral dx to show that it is convergent. Then, use this result and the…

A: The given integral,∫1∞1x2dx and ∫1∞x2x4+x2+1dx

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Q: dx 21 + C %3D

A: We have to find the value of ?

Q: Find an equation of the plane through (-3, 8, – 7) that is perpendicular to the planes 6x – y +z = 4…

A: We need to find equation of plane.