dy If y (t+ 2t + 6) (7t + 6), r find dt dy dt

Q: Find fx, fy, fz. fx = + +2² f(x,y,z) = e¯ (4x²+2y² 12=7 Z

A: f(x,y,z)=e-(4x2+2y2+z2)we know (i)  ∂ ∂x(xn)=nxn-1(ii)  ∂ ∂x(constant)=0

Q: dw d?w w = (3t + 2)(3t- 2), find and dt dt2

A: Derivative is a rate of change of a function. The derivative of function gives the slope of the…

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A: We find value of given  integral

Q: u = Vx + 5 (x + 1) then du/dx is Зх — 11 Зх + 11 2 Vx + 5 2 Vx + 5 A 3x + 10 Зх — 10 2 Vx + 5 2 Vx +…

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Q: 2. (3x +y)dx – (x+3y)dy = 0 2. y = 2 when x = 4

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Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) × r"(t). P(C) = 21²1 - 48 + ²P²H 2³k r(t) 3 (a) r(t) 3it…

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Q: Let f(x, y) = x²y³, then Vf(1,2)= Select one: True False

A: Given problem:- fx,y=x2y3 Then ∇f1,2=16,12?

Q: dy 1. Á + 6A

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Q: f(x, у, 2) dV

A: Given data:     The expression for the given integral is The given function is: f(x,y,z)=e5z. The…

Q: What is the domain of h(x, y) = Vx - y?

A: Given: hx,y=x-y we know that for domain of square root function inside of root not has to be greater…

Q: Let F(x,y,z) = 3x²y + 6y³ – 5xz². Find VF ,V²F¸ K×VF, and V×VF.

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Q: Find:

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Q: Q.2 Find DivF and curlF at point (1,2) , where f(x, y) = xy² + Inxy

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Q: If f(x, y) = V + y3, find fy(0, 5).

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Q: c ls tE line cregmentfoom (3,4,0) to | (1,4,2) computef (zty?)ds&dp

A: The curve C is the line segment from 3,4,0 to 1,4,2. The parametric equation of this curve is given…

Q: (X²y² + 1)dx +2x²dy =0 use the substitute xy=u

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Q: let r (t) = The y component of r' (5)

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Q: f(x, y) = V 2 2 3x² + 4y²

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Q: of find 4x + 9y of and dy For the function f(x,y) = %3D of dx ||

A: We can answer this question as below

Q: f(x, y) = 4x2 + 2y? f-( – 3, 1) = Preview

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Q: Let f (x, y) = 2x³ + 4y³ + 19xy Find D = frx · fyy - fey at the point (2,2)

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Q: Compute ƒxxx and ƒxxy for ƒ(x, y) = x3y.

A: Given function - f(x, y) = x3yConcept - While partially differentiating with respect to x, other…

Q: Evaluate (2x - y) dx + (x + 3y) dy. C: x-axis from (0, 0) to (0, -3) and (0, -3) to (8, -3)

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Q: Let \n (xy) + y ² = x6+3 find dy ax

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Q: dy : Find if dx 3.x 2) x - y 4+ y x +y 4) xy² x - y

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Q: If z = f(x, y) and z4 – x² = x²y²z? əz Find: dx az and dz ie

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Q: fx(2, 2) = fy(2, 2) = # f(x, y) = x² + 4x¹y.

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Q: Let f(x, y) = x³ + y³ + 3x²y + xy + y². Find fæ, fy, fax, fry, fyy.

A: The given function is,