- find x, y z Select one: а. X-3,у-2,z-1 b. x=3,y=-2,z=1 С. X-3,y-2,z-1 d. x=3,y=2,z=-1

Q: c) Find i. y' for x4 + y = 17 If x = 3 and y = 3, calculate y'

A: Here is the solution of above problem.

Q: Find R f(x, y) dA where f(x, y) SIR f(x, y) dA- = x and R = [0, 4] × [-2, 4].

A: Given f(x, y) = x and R = [0, 4] x [-2, 4]

Q: Find y' and y". y - In(x + VB+ x²) / 8 + x² 1 y' = V 8 +x2 y" II

A: Given: y=lnx+8+x2

Q: Solve for x, y, z and w. (Enter your ansv x + y y + z 3 5 z + w 8 5 (x, y, z, w) =

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Q: Express ∂w/∂r and ∂w/∂s in terms of r and s if w = x2 + y2, x = r - s, y = r + s.

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Q: calculate / SR2 dA Where R = {(x, y)/1 < æ < 2,0 < y< 2æ}|

A:

Q: Find x; y; z; t where 3 (, ) = (_; )+(,÷, **) 6 4 x + y\ \z +t 1. O x = 2,y = 4,z = 2,t = 3 2. O x =…

A: Find x,y,z,t

Q: W= 1-Xy"- Ż Find ニ Wそそ 3 Wzx DWyz (6)W xz 9. 3.

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Q: (a) f(x,y) = (x² + 1)e" (b) g(w, z) = w? + 22 (c) h(x, y, z) = vT² + 3y – xyz²

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Q: (5z + R)uz + (7z + R)u, R (b) (z+ R)uz + (y + R)u, = R+u? %3D

A: General solution to the differential equation

Q: f(x, y, z) = 3x²y - 5xyz + 7yz2 2. f,(x, y, z) = f,xx, y, z) = f(x, y, z) =

A: Given query is to find the partial derivative for the given function f(x,y,z).

Q: Find f, (x,y) and f, (x,y). Then, find f, (3, - 4) and f, (4, - 3). f(x,y) = - 7xy +6y +3 fx(X.y) =

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Q: // | *dædydzB = {(x, y, 2) =€ R® 0 <« < 1,0 < y < 1,0 < z < x} {(x, y, 2) =€ R° 0<æ < 1,0 < y < 1,0…

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Q: ( Deterauine fiie value of x So fhct e will be parallel to live m. CRefer to Test#2 Problams #13 3/4…

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Q: z(y" – y') – (y" – y) = 0, 1 y(0) = 1, y'(0) = 3.

A:

Q: Find ƒyxyz if ƒ(x, y, z) = 1 - 2xy2z + x2y.

A: Given that, fx, y, z=1-2xy2z+x2y           ...(1)

Q: - (6+j7) – 10 cjs 30° + 10ej0.752 + 5Z–25° (3+j4) + 5 cjs 45° + 5 2–45° = 6-jx +r Z 10° what is r…

A:

Q: Find ƒx (x, y, z), ƒy (x, y, z), ƒz (x, y, z), and ƒyz (x, y, z) for ƒ(x, y, z) = x4 + 2yz2 + z4

A: Consider the given function, fx, y, z=x4+2yz2+z4 now, use the partial derivative method to find the…

Q: Find SV. T. 15 30 R U 16 V SV %3D Submit

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Q: (i) Find the covariance of Y1 and Y2, Cy, Y,

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Q: S: R² → R², S(x,y)= (2x + Y,x – 3y) , T: R? → R², T (x, y) = (x – yY, x + y).

A:

Q: Determine values of x and y so that v · w = 0 and v · u =

A: There are vector representation given as, v=x1y , w=x-20  and u=0-9y. To find the value of  x  and y…

Q: Find: 군x, 군y, Zxx , 군ys, 군xy, 2sx = X+y Xy-1 Z =

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Q: 5.) y = x3 + 1, y = 0, x = 1 around the a axis.

A:

Q: The bottom face: o (r, 0) = (r1(r, 0), y1 (r,0), z1 (r, 0) where 0 <0< 27, 0 <r< 3 and 1(r, 0) = y1…

A: Given  Fx,y,z=5xi+5yj+4zkr=3height z=−2upper edge z=3 Explanation dimension for bottom face…

Q: change of variables, x = and y = vuv, compute , e*ydA, u

A: Solve the given integral by change of variables where the given integral is ∬DexydA Let I=∬DexydA

Q: f(x, y, z) = 2 ≤ x ≤ 10,0 ≤ y ≤ 4,0 ≤ z ≤4

A:

Q: y" + 2y = U (t –- 7) + 36(t – 37/2) – U (t – 27), y(0) = y'(0) = 0. %3D

A: We are given the equation,

Q: y'+2y/x=x, y(1)=2, y(2) using h=0.1

A: given :y'+2yx=xy(1)=2, y(2) using h=0.1

Q: 3x – y + z = –1, -x + 3y – z = 7, u+ 3z = -7.

A: Given: 3x-y+z=-1 -x+3y-z=7 x-y+3z=-7

Q: . Solve V²u = 0, a <r < b, 0 < 0 < 27, u, (a, 0) = f (0), u, (b, 0) = g (0), 0<0< 2m, where | f ds+…

A: As per the question we have to use the given boundary conditions to deduce the exact solution to the…

Q: f(2ecz tan z - 6z")dz=_ • tan z+z+e secz+z+e • secz-z+e - secz-z+c •- secz+z+e

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Calculate || xVy² + x²dA, Where R = {(x, y) /0 < y <land 0 < x < y}

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Q: ou 2.Soluing 4x -5歳-3

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Q: 3. If V = (3r'y-1,x2'+y',-2r:"). Find grad divl at the points (2,-1,0).

A: We have to find grad(divV ) at (2,-1,0) where  V = (3x2y-z,xz3+y4,-2x3z2)

Q: 26 + 4z4 – 2z2 +1 dz (z – 2i)6

A:

Q: The temperature at a point (x, y, z) is given by u(x, y, z) = 1001e-(z²+2y²+3=²)/10 where u is…

A: ux,y,z=1001e-x2+2y2+3z2/10 The maximum rate of increase is given by gradient of u.…

Q: V1. y=x' +1, the axes, x=3; 0X 1 y =-, , y-axis , y=1 & y =3 ; OY

A: Here we have to find the volume.

Q: 2x + y 5z - 4y Find the total ditferential. W = 5z + 8x 10x + 5y 2 -x+ 5z – 4y dw = (5z – 4y)2" (5z…

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Q: Decide whether it is possible to solve the equations xu? + yzv + x²z .xyv³ + 2zu -- u?v² = 2 for (u,…

A: 3.7 Given equations are xu2+yzv+x2z=3xyv3+2zu-u2v2=2 The points are  (x, y, z)≈(1, 1, 1) and  (u,…

Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = xy + yz + xz

A: Given: fx,y,z=xy+yz+xz

Q: d. VxVy, Q(x + 1,y/2) e. 3xVy3z, P(x,y,z)-4 > 0

A:

Q: Find ø if (a) Vø = (y² – 2xyz³)i+ (3 + 2ry – x²z³)j+ (4z³ – 3x²yz²)k and ø(1, 1, -1) = 4. (b) Vý =…

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Q: y = Vx – 4 А. Domain: х > 4 Range : y 0 Range : y > –4 D. Domain: х > 4 Range : y > 0

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Q: f (x, y, 2) = x³ /+42³y² – xyz +x² – Vz5 VI+ 42°y? – ryz+ x² – Vz5 - -

A:

Q: Ion 41 Let A = (m, n) and B = (x, y). If A and B lie in on horizontal line and B is to the right of…

A: We will solve the problem using figure.

Q: Solve for x, y, z and w. (Enter your answers as a comma-separated list.) х- у х-z y - w (х, у, z, w)…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.