Vỹ (v - 3), 1

Q: (c) | Vtan(x) sec (x)dx 3

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Q: xyz 3. If (x, y.2)= In +ef), find f,,f, and f.. 4

A: Given: fx,y,z=lnxyz4+e-3xy2z2 The objective is to find fx, fy and fz

Q: f (x, y) = 3x²: f (x, y) = x² + 3y²: f (x, y) = y – 2x?: f (x, y) = 5x² – 5y²:

A: The function f(x,y)=3x2  Level curves are made by fixing values of fx,y=k.…

Q: = x² – 6x + 13, y = Inx, x = 1 ve x = 5

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Q: evaluate the triple iterated integral.

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Q: Find the local extreme values of ƒ(x, y) = x2y on the line x + y = 3.

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Q: y = 2sinx and y = 0 from x = T to x = 4 π 2

A: The given curves are y=2sinx and y=0 from x=-π4 to x=π2. So, the bounded region is as shown below;…

Q: ) ور شم( موم 2 4-x 2 2 4-x 2 x++y¯+z° e - dz dy dx -2

A: To evaluate the below integral. ∫−22∫04−x2∫04−x2−y2e−x2+y2+z23/2dz dy dx

Q: (x²-xy-y²\ (x2-ху-у?) dy = 0 dx + r2-v3

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Q: f(x, y) = 1 + x2 - y2 R = {(x, y): x2 + y2 < 1}

A: Find the area of surface given by z= f(x,y) that lies above the region R.

Q: (3メーy-4) dy (x+y-4)dx when x« 3, y=7

A: As per our guidelines we are supposed to answer only one. Kindly repost others question as a…

Q: y'(t) = In(y- 3) %3D

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Q: find dy y = etan-1 √x2+1

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Q: ス+)V2x+x dxメ

A: Given,          ∫x+12x+x2dx

Q: e critical point of the function f(, y) - 6 +7x + æ² + 4y – 2y?

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Q: Maximize f(x, y) = 3xy Зху subject to x + y = 1

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Q: V16-x² .4 Evaluate: [4 16-x² J/x²+y² dz dy dx

A: We will evaluate the following Integral.

Q: Find fx (x,y) and  fy (x,y).  Then find fx (2, -1) and fy(-4,3)

A: Given: f(x,y)=ln|3x4+5x2y2|∂f∂x|(2,−1)=fx(2,−1)=?∂f∂y|(−4,3)=fy(−4,3)=?

Q: Vx2 +1 – Vx² – 1 y = Vx² +1+ vx² – 1 2.x3 dy = 2x - d.x - - show that Vx4 – 1 -

A: Given: y=x2+1-x2-1x2+1+x2-1      ......(1) To Prove:  dydx=2x-2x3x4-1      ......(2)

Q: Q2: Find all relative extrema and saddle point of f(x,y) = 3xy +y-x' +3

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Q: of xy subject to x +y =

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Q: (b) lim y - 2 y→2 5 – V27 - y

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Q: (2xcosy + 3x2)dx + (x3 − x2siny − y)dy = 0, if f(0) = 2.

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Q: [2x*yžcosx² – 2x*yå + x/5]dx + [x/5stnx² - x° /9]dy = 0 3 2x²yz + x [x/ysinx? – x³ /y]dy = 0 -

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Q: (x³ + y² + z) dx dy dz. 2 Evaluate

A: To evaluate the integral

Q: x - 3 7. S V25- (x-2)2 dx 8. S tan5 (2) dy

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Q: 2x +y-z=3 x- y+z=0 y+2z =1. Then x=

A: Given system of linear equations; 2x+y-z= 3 x-y+z = 0    y+2z=1 We can use Cramer's rule to solve…

Q: QI Find dy for 2y2/3+xy3/20 x 0

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Q: xsin 1x Vx+1 2tan-x Vx+1 2tan-1x QI) Find of y=: e2x+1

A: We will find dy/dx as following .

Q: xy' = y + 9x sen(x), y(#) = 0

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Q: y 3D 1 y = secxtanx; y

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Q: ed by F(x, y) = (-: %3D

A: The function given is , F→x,y=-x,y. Draw the table for the points plot on the graph for the vector…

Q: Find fr, fu, and f.. -0.5 f(x, y, z) = (4x² + 6y² + 3z²) fz = fy = f: =

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Q: xy = 9, y"' at x = 1, y = 9

A: NOTE: Refresh your page if you can't see any equations. . take the first derivative

Q: 4) x²y + xy² + xy = -1 ,y' at x = -1 %3D

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Q: Find fxy(x,y) if f(x,y) = (x² + y²) 7. fxy(x,y) = ...

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Q: Find the function y(x) satisfying =4 dy =4x-3 and y(6)30. dx The function y(x) satisfying --4x-3 and…

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Q: ſx = s² – t² . z = 2x – 5y, ly =s•t³ · t3

A: We find complex function

Q: Stue; dy = (1-x)y²+ (2x-Dy-x given Sdutfon y-1 %3D

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Q: Lion 1-y If x = Show that 1+y dy V1-y

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Q: what are the nature of the critical points of f(x,y) = xye^(x+2y)  (show all steps please)

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Q: - 3-z2-y 2. Evaluate L* L z dz dy dx -5+x²+y²

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Q: f(x,y)=x^2/y at (3,2)

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Q: I Y=t5メPYove th y-2(21くるど

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Q: f(x)dx if V3 Find 3 | f(x)dx = -2 and f(x)dx = 4 f(x)dx = 3

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Q: f (x, y) x+ 3 ху 3 Бъ-х

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Q: 3 2 | z=1 y=1 -2(x + 1)y dy dz بائية

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Q: (x-G -0 +2) dx + 2(x+2y+2) dy:

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Q: y = f(-x)+3 O y =-f(x+ 3) Submit Answer Oy = f(-a)-3 y = -f(x-3) |

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Q: 31-x 2. Evaluate [(x+ y)dydx . 1 0

A: To solve this question first we integrate w.rt dy then put limits and after this integrate with dx…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.