Find x and y. 18 7 11 18 7 2x + 1 7. -2 12 19 15 -2 12 19 Зх 0 3 7 0 о з 3у- 5о (x, y) =

Q: (1) If x²y – xy? + x² + y? = 0, find y' (2) If x² – xy + y? = 3, find y' and y". (3) If x³y – xy3 =…

A: Since you have asked multiple  questions , we will solve the first three questions. If you want to…

Q: In Exercises 8–16, give a geometric description of the set of points in space whose coordinates…

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Q: f(æ, y, z) = æ²y+ 2y²z+ 3æz?. Compute fa: (1, 1, 1). None of these. 3

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Q: 3) If A = 2x²i – 3yzj + xz?k and ¢ = 2z – x³y, find A - Vo and A x V¢ at the point (1,-1,1). ww. 4)…

A: A=2x2 i-3yz j+xz2 kA(1,-1, 1)=(2, 3, 1)ϕ=2z-x3y∂ϕ∂x=-3x2y∂ϕ∂y=-x3∂ϕ∂z=2∇ϕ =∂ϕ∂x i +∂ϕ∂y j+∂ϕ∂z k∇ϕ…

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: 47. If S(2,y)=(2x-3yy', then f,= _ a) -15(2x-3y)" b) –10(2x-3y) c) 15(2x-3y) d) 10(2x-3y)

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Q: 5. By Chain Rule , evaluate a. y' for y = u? + 4u and u = 4x3

A: This question is related to Differentiation, We will solve it using given information.

Q: 4. Find the cross product 7 x 7 given that d = (0, -4, 1) and ở = (1, 1, –2).

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Q: Find ƒxx ( x, y)  and ƒxy( x, y). ƒ(x, y) = 5x3y - 6xy2

A: The expressions fxx and fyy denote partial derivatives of f with respect to x and y, respectively.…

Q: OF(2,9)= OF(2,9)= %3D OF (2,y) = X,Y %3D OF(2,y) =

A: Since     F→(x,y)=<-y, x2> The vector field of the function is

Q: Find Duf at P. 2 + 2. 5,3 4 f(x, y, z) = 6x³y°z*; P(1, – 2, 1); u = Duf i

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Q: 8. If the mz1 = 8y- 24 and the mz3 is the value of y? 120, then what %3D 3

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Q: Which equation passes through the points (−2,−1)(−2,−1) and (0,5)(0,5)?     1. y=−1 over 3x+5   2.…

A: The given points are (−2,−1) and (0,5) If an equation passes through these points, then that…

Q: Find y dy S using the substitution +5=√√y+2 √y+2 (√3+2-5) (5√y+2+y+21) +C 3 (√x+2-5) (5√3+2-y+24) +…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: f(x, у, 2) %3 3x?у - 8хуz + 7yz? f,(x, Y, z) = 5,(x, Y, z) = f,(x, Y, z) =

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Q: 8.69 Given M, = -5, s1 = 4.6, n1 = 72, M2 = - 1, s2 = 3.3, and n2 = 60, calculate t. %3D %3D %3D

A: The following information has been provided: The sample mean for first sample is M1=-5. The sample…

Q: Given : 2х + 5у — z %3D27 x + y + z = 6 2y + 5z = -4 Eliminate x from 2nd & 3rd equation (by…

A: Given : System of linear equation :  2x + 5y - z = 27 x + y + z = 6 2y + 5z = -4

Q: 9x + 2y + 4z = 20, x + 10y + 4z 6, 2x-4y + 10z =-15 54x +y+z = 110, 2x + 15y + 6z = 72, -x + 6y +…

A:

Q: 2 and y = If x:y:z 4:6:9 and z = 45, then x =

A: Given:          x:y:z=4:6:9     and   z=45To…

Q: Find an equation of the tangent plane to the parametric surface

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Q: Given that w varies directly as the product of x and y and inversely as the square of z and that w =…

A: The solution of the problem is given in the next step.

Q: If W (2t – 1, y (t), 4t – 7) = -20, then y (t) = O f +5 O ² +3 O 2 - 5 O ² – 3

A: We will solve this by calculate  wronskian

Q: Determine ar and y such that 4 -6] 4 2x + y [4 4 -4] x – y 0 -27 0 2 1 4 3

A: To determine the values of x and y.

Q: below. y = 2r* - 3z + 7z – 122² + 6z – 4 In addition, the following observations were posted by the…

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Q: 5. If g|| h, m/3= 5x - 9, and m/2 = 3x + 23, then g. a. mz1 = 3 b. mz2% D h- 2 4 c. mZ4 = 1. Per

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Q: 4. Find y if r'y +z = y".

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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: 22 + 2z + 1 For questions 6,7 & 8: use I = dz, C traversed CCW z² +z Question 6) C: Iz- 1| = 2…

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Q: If x2 + y2 = 2st − 10 and 2xy = s2 − t2, find ∂x/∂s, ∂x/∂t, ∂y/∂s, ∂y/∂t at(x, y, s, t) = (4, 2, 5,…

A: If x2+ y2 = 2st − 10 and 2xy = s2 − t2,To  find∂x∂s,∂x∂t,∂y∂s,∂y∂t at (x, y, s, t) = (4, 2, 5, 3).

Q: 8. % = () Given that u = and w = calculate the values of x and y if 2u = v - w. %3D

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Q: If |z-8 <, and ly-히 < , then a - y < 1. 2'

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

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Q: 2) 4= -4x required: a) Fih d the value of Y iF X=1

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Q: 38. Given 2" = 16*-3 and 3y+2 = 27*, find x and y. %3D %3D 6 +2 4-12 9 : 2 =27 :27

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Q: u-8 v- 12 w – 16 2 3 4 Find the value of 4x 4y 4z if it is known that u v w = 9. 2 3 4 ху z .....…

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Q: 1 8. Find y', y" and y"" for y = 3

A: Solution:Giveny=1x+3x2+2x3To findy',y'' and y'''

Q: Find a relationship between uX and µ7X. Given: Ux=3 M 7x= M 7x = 21

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Q: -3] find the value of x,y and z. 2 х | 4 3 +2 1 0 If 3* %3D Lу 2 15 4

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Q: 2t+9 dt (t2–14t+46) 2t + 9 2t + 9 dt (t – 7)2 – 3° J[(t – 7)2 – 3]² Option 2 Option 1 2t + 9 dt [(t…

A: Here, to rewrite the given integral: ∫2t+9(t2-14t+46)52dt...(1)

Q: 3 4 If f(x, y) = x3 + 5x?y + y3 and u = calculate Du?f(3, 1). 5' 5

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Q: 13. If T:(x, y)– (x – 1, y + 6), then T':(x, y) → (__, .

A: GivenT(x,y)=(x-1,y+6)To findT-1(x,y)

Q: u²-1 3 Q4- Given y = and Vx? + 2 find ỹ u²+1

A: For  also, According to the chain rule of  differentiation:

Q: 7. If the mz3 = -5(y-1) and the mz4 = -13y + 37, then what is the value of y? %3!

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Q: 15. In AXYZ, if ZX = Z , XY = 13r - 21, YZ = 8r – 6, and XZ = x + 4, find x and the measure of each…

A: Solve 15

Q: -2 -1 7. 9. 11 m = y-intercept: 5. 3. 1 5.5 2 8 3. 10.5 4 13 y-intercept: 3 12 1,

A: slope = m= change in y / change in x

Q: 28. Given: mZ1 = 8(x + 2) mZ3 5х mZ5 5(х + 1) — 2 Find: 12 3 29. Given: mZ1 = X Exercises 28, 29 m2…

A: 28)     m∠1=8x+2m∠3=5x-3m∠5=5(x+1)-2 now we need to find m∠2 m∠2=180°-m∠1    (angle of straight line…

Q: Find S y dy Vy+2 D using the substitution u + 5 = √y+2. A √y+2−5) (5√√y+2+y+24) + C Ⓡ(√9+2-5)…

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Q: O eiz dz < z2 – i e2 , 3 - z(t) = 2e", t e [0,27]. true False

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Q: (b) P = V3t +6 . O u = 3t2 + 6, P = Vu I| = V32 + 6, P = vu U = Ou = 3t, P = \u² + 6 O u = 2 + 6, P…

A: Given that, P = 3t2+6 . Now, P can be written in terms of u with proper substitution.