Find ||u||, ||v ||, and ||u + v||. -(-1. 금), v-(2.-3) v = (2 - ± ) u = 4 (a) ||u|| (b) ||v|| (c) ||u + v||

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: If f(x, y) = (17x - y)3, then is given by: af dy (17x (17 – ) 13 - 18 (17x 13 - - 13 Y)2 – ) 18 (17x…

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Q: (i) Find the covariance of X and Y

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Q: find ---y (a) u•v, (b) u•u, (c) ||v ||2, (d) (u• v)v, and (e) u • (3v).

A: Disclaimer: Since you have asked a question with multiple sub-parts, we will solve the first three…

Q: 2/3' 2/2, Suppose 3z? + 2y² + z² = 1 and z = g(x, y) > 0. Determine g, ) and gy 2/3' 2/2

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Q: z2-ze coshw.K (z) z2– 2ze coshw.K+e2a -

A: The solution is given below. Hope this helps!

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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: (X1, X2) = -x2, Q(x1, x2) = x1; D = {(x1, T2) : 0 < x1 < 1,0 < x2 < 1}. (X1, 82) (¤1, P2) = 2x1 –…

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Q: The line that passes through the points (2,0), (0,1) is x+2y = c, where c = 1. O True False

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Q: T: R2 R2 is defined by х + 7х, [3x, – 4x2] X1 %3D and B = {u,,u,} and B' = {v,v,}, where %3D -- --…

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Q: 3 - If h(x, y) = y - xy – x2, find at the point (2, n) ду а) - 2.5 b) 7 c) -2 d) -1 e) 0 f) 1 g)…

A: Given that h(x,y)=y-xy-x^2

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Q: 2ryy' –1-y - 0, y(1) = 2, one can fir

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Q: u = x² + y³ + z*, X = s•t = s2 +t2 y = z = s-t

A: We find complex function

Q: 5) /x + y + y² + x² = 18, y'at (0,4 )

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Q: d.A, A = {(x; y) E R² : y € [0, 1], x € [y², e-]}

A: Given: I=∫∫A1x34dA   A=(x,y)∈R2: y∈0,1, x∈y2,e-y

Q: By using false position method find f(x) = e* - 2 u %3D

A: Attached solution :

Q: f (x, y, z) ) = x² + y² + z²; x* + y* + z* = 1 2. 4 || ||

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Q: If F(x,y,z)=x?y-y²z3 Then fz= -3y²z2

A: Given: fx, y, z=x2y3-y2z3

Q: If u = (u, uz) and v = (V1, V2), how do you find u + v?

A: Given: u=(u1,u2)v=(v1,v2)

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

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Q: ||y|| = sup |(x, y) = sup F TEE IEE ||||

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Q: Solve for x, where u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). 2x − u + 3v + w = 0

A: Given u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). And 2x-u+3v+w=0 Plugging the values,…

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

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Q: Find the points of intersection of x = 4y and y = 4x. (ans.:(0,0),(16,64))

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Q: i. {(x, y) E R² | y > 0}, ii. {(x, y) E R² | 9x² + y? < 9}, iii. {(r, y) E R² | xy < 1}.

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Q: find Way if f cu,U) 4 - 2 u = X +y Vニy

A: 4.

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: Find fxy(x,y) if ​f(x,y)=(x^3+y^4)^7. fxy (x,y) =

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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: Given f(æ, y, z) = 6x² + 3y² + 4z², find f-(x, y, z) = | fy(x, y, 2) = | f:(x, y, z) =

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Q: D.(1,2), where f(x, y) 14x-y in the directionof v (2,-1)

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Q: (c) y" - ry +y = ', y(1) 1, g/(1) = -1, r>0

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Q: Additional Problem Prove the statement: 3X CZ such that Vx E X, 2 | x and 3 | x.

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Q: X- 2,6,3,1 . yr 3,74.2 س ۲ / / إنا علمت بأن فيم كل من المتغيرين و و هي كالاتي :- 1) E, - E *) 2)…

A: The data values given is as follows x y 2 3 6 7 3 4 1 2

Q: Assume that ƒ′(3) = -1, g′(2) = 5, g(2) = 3, and y = ƒ(g(x)). What is y′ at x = 2?

A: Given:

Q: Find the solution. (D5 - 2D3 - 2D2- 3D - 2)y = 0. y =c,e+ce+c,e²r+c,cosx + c zsinx y =…

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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: Мaximize p = 10x + 10y + 15z subject to + z s 12 X y - 2x 2y + z 2 14 -y + z 2 4 x 2 0, y 2 0, z 2…

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Q: fin y" given that x^2 - xy + y^2 =3

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Q: Suppose T(x,y) = (2x, 2y) and U(x,y) = (x, -y). Is T∘U=U∘T?  Justify your answer.

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Q: - 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

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Q: (c) y = 1, y = 1/2, x = 2 (d) y = √x, y = 22, x=9 (e) x = 2y², x = 4 + y² (f) x = 1 - y², x = y² – 1…

A: The area between any two curves is given by formula A = ∫ [f(x) - g(x)] dx  with limits from a to b…

Q: Find fxy(x,y) if f(x,y) = (x5 +y³) 7.

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Q: bah ow )o (d) be . Solve for 0<x <1, u"- u =-f(x) u' (0) = u' (1) = 0.

A: As f(x) is an arbitrary function, we will use Green's function to find the general solution.

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

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Q: Use the characteristics method to solve the problem U, +3yU, = 2U , U(x,1) = f(1+ x,)

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Q: If y(x) satisfies y′′(x)=y′(x)(1−y′(x)),y′(0)=13,y(0)=1, then y(x)=?

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