If f(x, y) = (2x? + 8y²)í, then f_(0, 0) = %3D A) 0 В) 1 C) 4 D) 2 E) Does not exist

Q: 4) y = e3r* dy A) 12x dx B) dy 3* . 12x³ = e dx dy 3x e C) dx D) dy „3x* - 1 . 12x = e dx

A: Given below the detailed solution

Q: b) Compute Re fli) when: $(2) = √2-₁² and f(0) = -i

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Q: ay or dx. 2x + y = 7x - 6 to find y a)

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: By using the substitution u = 4x +1, evaluate (4x + 1) dx %3D

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Q: If f(x, y, z) = excosy + z, show that fxx + fyy + fzz = 0

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Q: Prove : (x2 + 2x + 2 )dx > 0

A: The given integral is ∫-10x2+2x+2-x2dx The integral has been rewritten∫-10x2+2x+12x2dx Apply…

Q: f:(-2,1]→[0,12] literal and overlapping function 12 if įs(x) dx = 13andſls*(x) đx =5 [f*(x) dx=? 10

A: Given :f:-2,1→0,12 literal and overlapping function.∫-21fxdx=13     →1∫06f-1xdx=5    →2To…

Q: - 2- Solve: (2x +1) a.) dx3 +2y 3e* dx %3D dx2 + 6(2x+ 1)+4y = (2x+1) [t= In(2x+ 1)] %!

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Let f(x, y) /150- 4а2 — 2у? 4x? – 2y? Evaluate f(1, 3)

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Q: Let f(z, y) — (-(г + ))5. Then | 20(-(x+y))^3 dzðy dzðydz dz²dy

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Q: Compute f, aL a2f and :f(x, y) = (x + y)(2x + y)² ax' ay дхду

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Q: Find V x (V x F) If F(z,y.2) 10ryj+5zyzk. V x (V x F)

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Q: f(x.y) = 7x?y",camate and af and ,campute

A: Given fx,y=7x2y4we have to find ∂f∂x =?    and   ∂f∂y=?

Q: d y then is dx? x=1-8t Suppose y = 5t* +2

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Q: Differentiate: 3 a) F(y) = ( (y + 5y³) x²e* b) f (x) : x2+ex А c) f (x) : B+Cex

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Q: What is fx , where f (x, y, z) = (sin yz)ez3−z−1√y ?

A: Given, f (x, y, z) = (sin yz)ez3−z−1y

Q: the impermissible value of x for the function y = 1 / (e ^ 2x-1) is: a) 1 b) 0 c) 1 d) e

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Q: Evaluate f, f,(1-2) L(-dy dx dz

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Q: find f c^) : 2x+3 5X+4

A: Topic :- Functions

Q: d) S 2xe* dx

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Q: dx Cane:2e-25x

A: 13)

Q: Find the volume bounded by: x² + y² + z = 16 and z-x² - y² = 8

A: Volume is the amount of space occupied by the closed surface. In this problem, the region is bounded…

Q: %3D 2-FX) =CSC X 3-FX) cotX %3D 7- Fx) = Cos3Y

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Q: 13. In y = what is the derivative of 2x2 +3? x+1 a) 2x b) 4x c) 4x +3 d) 7

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Q: If f(x) = which one of the following is f-¹(x)? a) b) c) x- x-1 2x x d) 2+3 c) = 2 x+2

A: The given function f(x)=xx-1

Q: dy Differentiate implicitly to find 6 5 3) x y+9x = 6y +4 dy

A: A detailed solution is given below

Q: az az + x əx %3D Let z = f (x² – y²). Show that y ду

A: The given function is: z=f(x2-y2) Now partially differentiate above with respect to x and y,…

Q: What are the foci of(x/a)2+(y/b)2 = 1 if a<b?

A: We have the following given ellipse -  xa2 + yb2 = 1   where a<b

Q: What is the value of x in (2x - jy) + (y - jx) = 1 - j5?

A: We have to find the value of x where 2x-jy+y-jx=1-j5

Q: Let flis) =4x %3D a.) find f(x+h b) find fx th)-fs) C. find flxih-f d) find f'Gx)

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

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Q: Determine the vesulting equaton Determine the vesulting equaton after using the suitable…

A: We have to find

Q: 8) y = (x² + 3)ln 4x5 dy (x² + 3) · dx 2x² In 4x° + 5x² + 15 1 - 20x + In 4x³ · 2x 4x A) dy 2х + 1…

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Q: Let Fes) = fcx-s)dx Find fes) for %3D fex).x^, a constant the funchion where n is

A: Definite integral of the function ∫abf(x)=F(b)-F(a) where F is antiderivative of f .

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

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