Solve the differential equation Integrating Factor by Linear Equation: dy — у — 5х* — Зх? + 2х — 0 dx

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A: see below the answer and explanation

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A: The given formula is: κt=r't×r''tr't3 And rt=3cos2ti+3sin2tj+tk   As we know that; The Chain rule;…

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A: Since the region given in question 5 is not bounded. I answer question 6 for you. Please resubmit…

Q: nd the general solution of the following: 2. (D3 – 4D² + 4D)y = 0 3. (4D2 – 6D + 1)y = 0 4. (25D2 –…

A: Topic:- differential equations  Note:- as per our guideline if more than one question uploaded than…

Q: b. Vr4 – 2.x² + 1 dx

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Q: Find curl (5z i + 6x j + 8y k). curl (5z i+ 6x j + 8y k) )i + ( i )j + ( i i )k

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Q: Evaluate the line integral along the path C given by x = 2t, y = 6t, where 0 sts 1. dx + 5x2y2 dy

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A: This is a problem related to vector. Based on the general formula and concepts we will answer the…

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Q: Find V. (V x F), if F(x, y, z) = 6e"²i+ 3xe"j – 6e²k. - V· (V × F) %3D

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A: See the details solution in below

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Q: )Solve for k such that 1 k(x2 – 2x + 1)dx = 5 - 0.

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A: The objective of the question is evaluate the definite integral using the Green Theorem.

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: Given F(x,y,z)=2exzi→+2xeyj→-9eyzk→ To find, ∇.(∇×F)

Q: if x 1. z +1 Given f(x) = 2x 1 Then, lim f(x)%= 2+1+ O does not exist O 2 0 1

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Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 4xe…

A: All four second derivative are evaluated.

Q: 19. y = sin-1+ cos-1 2 2

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Q: Find the partial derivatives of f(x, y) = 5x°y². %3D (g) fz(1,2) (h) fy(1,2) =

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Q: (3x? + у?)dx — 2хydy %3D 0

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Q: Using appropriate substitution | sec*x dx is equal to In|secx + tan x| -1 + C 2cos?x + sec x tan x +…

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Q: 1.) ° 6x3+4x²-8x dx I. Evaluate the following Definite Integral. 1.) ° 6x³+4x²-8x 2.) x²(2x3 + 1)Fdx…

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Q: 2. Find the orthogonal trajectories of the family of parabolas y = cx O In(x² + y² ) = c O 2r? + y²…

A: Explanation of the answer is as follows

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Q: Find the Taylor series for f(x) centered at the given value of a. [Ass f(x) = In(x), a = 6 |(-1)*+1…

A: We can solve this as follows: