R1 = {(x,y)| x + y > 10}

Q: y= cosV1- x y' = V1-x² ² y' = 2v1- x² y' = 2va- x2 y' = Vx-x* 1 y' = 2Vx-x2

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Q: F(s) = (8s + 11)/[(s-4)(s²+9)] %3D

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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: 5) (x- 4)² + y² = 9 Center Radius

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Q: %3D x2+7 X2 +7 to flx1-メ= LtzX as xI oc ニ I + 7/x?

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Q: 3) Evolvate Ci(0) e²/z dz е

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Q: V121–a² r85-x²-y² 11 x dz dy dx -157+x²+y²

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Q: 22) About the x-axis y = 5 x =V25 - y2 X =' + 3 4 5 х 2. 3. 2.

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Q: v² =v² +2a(s-s) i. j. K = = kx² 2 k. T = 27 е g ,a = ,X = ,g =

A: This question can be solved using the concept of explicit function.

Q: Y"'-y"+y'-y=xe^x-xe^-x+7 By using variable cofficients

A: Given differential equation is y'''-y''+y'-y=xex-xe-x+7 Now auxiliary equation is…

Q: b. min f (x, y) = 3x² – y² s.t. 2х — 4у 3D —11

A: Minimum value of function is determined using lagrange multiplier and its value is -33/4.

Q: 2 √2x-x² SJ J² J²^ √√√x² + y² + 2 00 y²)[2x − (x² + y²)]dydx -

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Q: y = In(x + 2) at [-1,2]

A: The given problem is to find the interpolating polynomial for the given function within interval…

Q: y= ex between x= 1 and x = 4

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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: dx 1十X5

A: We will solve the question using trapezoidal formula- I=h2y0+yn+y1+y2+y3+......yn where h = step…

Q: (d) Evaluate [(2xr² – 3x)dxusing formula develop in part (c)

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Q: f (x, y) = 169 x² + y² at (-3,2).

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Q: Solve 2 secx- 5 secx+ 2 = 0 on the interval x e [0, 2x] %3D

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Q: X2 , 1 avuu. 3 VA 3. x = y3, 0 sy s1 about y-axis.

A: Given function is x=y^3

Q: (x+1 0SxS2 f(x) = { Then what is the result of| ($2) dz 5

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Q: 3 Evaluate: ³₁²₁ ¹²[z³(x + y)³] dz dy dx -4 1

A: Given

Q: Q3. Solve dy (x+3) dx S 3x, 0 3.

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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: I'+yz² -2xyz = f(x*y+y*z+z*x)

A: Given:- x3+yz2-2xyz=fx4y+y4z+z4x

Q: 6 - 3x2 + 3 Find the general antiderivative of f(x) - - - x5 + C

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Q: a z = 4x³-6x²y²-y com x= 2sen(t) y=-3cos(t) e

A: #As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: 2. T1: R2 - R2, T1(x, y) = (x – 2y, 5x + 2y) T2: R2 - R2, T2(x, y) = (0, x)

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Q: 2. (D² + 8D + 16)y = 1-e4x

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Q: uestion hat is y' (x) when y(x) = (4x³ + 6x)*?

A: * Logarithmic function property : ln ( an ) = n ln ( a ) * Product rule of derivative : ( f • g )…

Q: d²y B Show whether y = Ax² + · x2 is a solution for x2- dy + x dx + 3y = 0 or not. dx2

A: If y=Ax2+Bx2 is a solution for x2d2ydx2+xdydx+3y=0...(1) then it satisfies equation (1).

Q: xyz 9. f(x, y, z) = x² + y2 + z2

A: Givenf(x,y,z)=xyzx2+y2+z2To find Domain of above functions

Q: V1-x² 1-x²-y² e-3(x²+y²+z²)² dz dydx a) Evaluate

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Q: 4x -dx using Trapezoidal Rule with n=5 x2 + 4 Evaluate

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

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

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Q: d³y of y = (3x*-5)(2x³+9x-6) Determine the %3D dx3 7x5

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Q: I Y=t5メPYove th y-2(21くるど

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Q: y = x"-9 (x 20) X=0, y=D, about the Xaxis %3D

A: To find the volume of curve , towards the rotation about x - axis.

Q: The between cuefficient of corteletion X and'y のメー ag and and の2=114 what is constant a2 where x…

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Q: d-y if x = t – t² and y = t -t3 dx2 1. Find

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: V2 r8-x²-y² •3 Evaluate: 1 dz dy dx x²+3y2

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Q: 3 9-r22 1 dy dz dr 9-r2 0_æ²_22 (x² + y² + z²)1/2

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Q: The revenue R for a company selling x units is  R = 1300x − 0.1x2.  Use differentials to…

A: *given:- R = 1300x − 0.1x2 , 3000≤x≤3100

Q: f (x, y) x+ 3 ху 3 Бъ-х

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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: 3s F(s) = s2 – s – 6 s - 6

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Q: solve for x and y: xy-x =0

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