consider this: (1+2xy3)dx+(3x2y2-(1/y))dy=0 A) is it Seperable B) is it homogeneous C) Is it exact

Q: Evaluate the integral (2æ + 6)(x² + 6x + 9)*dx by making the substitution u = x? + 6x + 9. + C

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Q: 8.) What is the distance between an airplane flying at 120 feet above sea level and a turtle…

A: We find the distance between an airplane flying at 120 feet above sea level and a turtle swimming at…

Q: SHOW THE SOLUTION OF: 25 - 2xy dy CHOICES: A.) y = x'(x+c) B.) y = x(x+c)? C.) y = x(x+c) D.) y =…

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Q: 2. Use cylindrical coordinates to evaluate √√9-x² 9-x²-y² [dz x² dz dy dx. √9-x2 0

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Q: y² + 1 dy (y – 1)²(y + 1) 1.

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Q: oWhich of the following clifferential equation s is Separable? dy A. e B. dã C. d - Sin Cay) %3D D.…

A: Explanation of the answer is as follows

Q: I x In y dA, R = [0, 3] × [1, e] 43.

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Q: Is y=V10 – x a solution of dx A) Yes B) No

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Q: dz If z(x, y) = x²y, æ = 4, and y = u³ v², find du

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Q: dy 3 If x = t² +1 and y = t – 2 then is dx 3 3 c) 3 a) t b) t d) None of These

A: we have to find dy/dx

Q: * = sec'x secy dx 2. %3D + 3(x'y'+x) dy = 3dy 2 2 y(3+2xy?)dx 3.

A: Given that, There are two differential equations following, 2. dydx=sec2x sec3y 3. y(3 + 2xy2)dx +…

Q: 5) Evaluate using the method of u-substitution. Show antiderivatives and work. a) [5pts] L dx 2n b)…

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Q: 2) 2x2 csck) dy d X M) y'= Xe'Vx-2

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Q: If Sf(x)dx = 5, i f(x)dx = 2, and Sif(x) dx = -1, find f(x)dx. %3D %3D А.) -2 В.) 2 С.) -3 D.) 3

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Q: The line integral 2xe" dæ + a²e" dy + (1 – 2²)e¬²² dz is not independent of path.

A: The line integral ∫CF·dr is independent of path if the curl of F is zero, that is, ∇×F=0. Here, The…

Q: Use Greens Theorem to evalute fyx² dx + x²dy as shown below Leh Half of (0,5) +y-25 (0,-5)

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Q: Transform pentagon BEARS according to (xy) → (x + 6, y+8). Write the coordinates for pentagon…

A: Given Data: Traformation: x, y→x+6, y+8   The given figure in the problem represents the pentagon…

Q: CALCULATE I = 2² + y² + z*dædydz, WHERE "T" IS THE CILINDER 2² + y? < 1,0 < z < 1.

A: A scalar function f(x,y,z) is a rule that is used to associate a number or quantity with a…

Q: (b) Apply the method of contour integration to prove that (2m de 2n Jo 2+cose 3

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Q: Salve: (1+yjdx =2yVi-x? dy

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Q: Evaluate | ye*dxdy, where 2: 0<y< 1, 0<x<y°. а) е — 1 b) z (e-1) 1 c) d) e) е -1

A: We need to apply integration formula using substitution method