2. Particle moves from A (-1,-2), to B (-3, 2) in the coordinate plane. The value of increments Ax and Ay and the distance (d) from A to B are CAx= -2 ,Ay = 4 ,d%3D2/5 Ax= 4 ,Ay = -2 ,d= 2/5 Ax=2 ‚Ay =0 ,d3D2 OAx= 0,Ay = 2,d= 2 %3D

Q: Let F(x, y, z) = y° z°i+ 2xyz³j+ 3xy° z²k. (a) Find the domain of F, and show that F is…

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Q: Differentiate. x4 y: 3 — х3 y' У -

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Q: 04 * O O Evaluate -1+2x-2x^2 -1+2x+2x^2 -1-2x-2x^2 -1-2x+2x^2 d dx 1-x fe 1² dt).

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Q: which of the following is equation is an exact DE? a. (x^2 + 1)dx + xydy = 0 b. xdy + (3x- 2у) dx…

A: which of the following equation is exact DE? (i) x2+1dx+xydy=0 (ii) xdy+3x-2ydx=0 (iii) 2xy…

Q: Find the point(s) on x=3-y² that are closest the point A=(1,0)

A: Our Aim is to find the points on x=3-y2 that are closest the point A=(1,0).

Q: dy Зу +4 Find the general solution: %3D dx 2y + 3

A: Topic - differential Equationd By separating Variables method

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Q: Differentiate y = VIn x 2 Inx +1 A. 2(In x)2 3. Inx-1 3 (In x)2 2 Inx-1 C. 2(In x)2 13 1. D. 3) 2(In…

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Q: (D² + 4)y = 0

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Q: В. NON-HOMOGENEOUS HIGHER ORDERED LDE 1. (D3 + 5D² + 3D - 9)y = 64x²e-3x 2. (D³ + 13D - 34)y = 25x2…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Using the attached theorms, Solve the following parts: a) dx/dt =7x-y , dy/dt=5x+3y  b)dx/dt =-x+3y…

A: (a) Given system of linear ODE's is in the following :dtdx​=7x−y,dtdy​=5x+3yStep 1: in matrix form…

Q: Use method of variation of parameters. y" +2y-8y = 2e-2x - e-x.

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Q: Consider point P(4, 2) and line l with equation −3x+4y=6 .

A: Substitute x=4 and y=2 into the given equation. -12+8=-4

Q: Solve the equation xydx - (x + 2y)2dy = o A ewy = cy³ (xy) B ewy = c y³ (x-y) c) exy = c y³ (x+y) D…

A: Given : Note : There is a print mistake in the given equation it must be written as : Differential…

Q: What is general solution of v = ds/dt if v = 2/t^3/2? a.-4/t^1/2 = s^2 + c b.-4/t^1/2 = s + c^2…

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Q: {(-9, 1), (- 5, 2), (0, 7), (1, 3), (6, - 10)} Josiah claims that the ordered pair (6, - 10) can be…

A: Given ordered pair is, -9,1, -5,2, 0,7, 1,3, 6,-10

Q: Suppose that I'm (f`∞x) = (x (24-1) and f(0) = 3-2i, f(1) = 6 -21, Find f(1+i)

A: Given that Imf'z=6x2y-1 To find: f(1+i).

Q: Find the general solution of the D.E. ye? dx = (4+e2") dy Show your solutions on a separate sheet of…

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Q: dx 2x

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Q: What is the mixed, second order partial derivative of this function. f (x, y) = / 2x² + y²

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Q: Solve for the general solution of the given DE: O y = (-6 + ce^(-x^2/4))^2 O y = (-6 +…

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Q: 는(csc-1(324)) = d SC dx

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Q: Determine Duf(-1,3, 2) for f (x, y, z) = e2ay° + 4x²yz in the direction (3, -2, 5). V =

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Q: ifr = 8 sece then the cartesian equation is x^2+y^2=8 O x-8 O y=8 O Non of the above O…

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Q: Eliminate the arbitrary constants A and B in the equation y = Acos5x + Bsin5x. O A.y" - 25y = 0 O…

A: Solution :  Options (B) is correct

Q: wherey = x + C is a solution to this DE. What is the particular solution?

A: Let's find.

Q: 2. dx 2. Solue integra

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Q: Evaluate and simvlify y'. sec 2w y sec 2w + 1

A: Given: y=sec2wsec2w+1

Q: 3x + 2 dæ, Hint: Remember that 4 = 4 + . = +. A+B 4. b) Integrate %3D

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Q: Sece. tano do seco Jsec'o -1 Seco . tanodo feco· Jtario feco. tono do Seco . tomo

A: we have to solve integration.

Q: Shows: Vu² +a? u? du = In| Vu* + a° +u] - + a? + C (11) и

A: We use integrate by parts formula.