27. Consider the piecewise path which goes along (t,3 – 3t, -t) for 0

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Q: Solve 2x y da + (x+3y*)dy = 0 Ax'y + xy* = € |9 r*y+y* = c

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A: We will separate variables and then will integrate it to find general solution of given differential…

Q: (1,2) 6. Evaluate 0,1 (x²-y) dx + (y² +x) dy along a straight line from (0,1) to (1,1) and then from…

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Q: c) 4y? — 7у — 12 dy У(у + 2)(у — 3)

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Q: 2 x+1 2) Evaluate f,“ dx using the substitution u 3 Зх — 2 V3x-2 3) Evaluate f2 e cosx dx

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Q: Determine for which value of m the function $(x) = x" is a solution to the given equation. d²y dy…

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Q: 4) Let f(x) = - ax"+1 and a x) = 4X-3 5:) f(x) = Fxan? find the 3 first f,g and h. uch that (fo gohl…

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Q: Find P.S. of (16x +5y) dx + (3x+y) dy = 0 If the curre to pass thru the point (1,-3)

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: + x(x*+ zy² + ig) dy= luy) dy 2. 2. 2) 3(x y) dx -

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Q: +3. . Find the linearization of _9). Can you tell anything about the error? at (3,2). Evaluate at…

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Q: 8. Let a2 + xy³ + 2x = 11. Find y"(x) at the point (1, 2). %3D

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Q: Find general solution of ODE   (x+y-1)dx-(x+y)dy=0 dy/dx = (x+2y-3)/(2x+y-3)

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Q: ) 3(x+ y) dx + x(x*+ zy + uy) dy - o t.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: se Green's Theorem to evaluate SC (5y-9x)dy-(yx-x³)dx where C is shown below

A: Follow the procedure given below.

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Q: If (2xy?+4) dx +2 (x*y-3) dy = 0 then ƏP/ay # ƏQ/ax *

A: Given: The equation is, 2xy2+4dx+2x2y-3dy=0 And ∂P∂y≠∂Q∂x To find: Whether it is true or false.…

Q: (2t – 3)·e -t²+3t dt 3 2/Inx dx . X (2у-3)12

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Q: Find the line integrals of F = 2yi + 4xj + zk from (0,0,0) to (1,1,1) over each of the following…

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Q: d²y and dx2 Find dy then simplify whenever possible. dx 1) y = 3t5 – 2t x = 4t3

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find a solution of x = y²_ (a) (0, 1) 1 1-xec y = (b) y = dy dx (0, 0) y = (c) (-1/2-1/2) (d) (2,…

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Q: 1. Let F(t) = (e¹−¹ – ť², 3t² + 1, 4-5 lnt), G(1) = (-6, 1,0), and f(t) = cost. Evaluate: (a) (F-G)…

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Q: Q2- If Z = f(x, y) = sin(x³y5) Find fyy and fyx

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Q: 1) [ (2t–1)² dt 2 2 2) dx X 3) [ , x(x² + 1)° d.

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Q: I grad(f)•dr where C is graph of y = x² + 3x from (0,0) to (2, 14) and f (x,y) = ev/lx*•1}

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Q: Find dy dt O A. O B. O C. O D. 2 for y=(5t²-4t) ². dy dt dy dt dy dt dy dt = 2(10t-4) = 2 (5t² - 4t)…

A: Given: y=5t2-4t2We need to find dydt.

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Q: E- Use the chain rule to express dy / dx in terms of x and y: a) y=7+1 and t=2x+1 1 b) y=7+1 and x=…

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Q: uppose that x + y = 2. What is y" at the point (1, 1)?

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Q: Find whether the function F= 5yz? i+(3x– 2)}+(x² – xyJk is solenoidal.

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