2. Find the following. 5 – xy? Zy if z = 3x + Y

Q: 1. Express the followings in the form of x + iy where r, y E R.(choose one.) (a) 금+ 부 (b) ( + ) ( –…

A: Rationalise  all the term and calculate to get the final answer.   Actually as per the barteleby…

Q: S (2y-3) dy 2y ³-y²-27y + 36

A:

Q: Solve the following aw dw aw. Q1) w(x,y, z) = xy²z³ + esin(x³y²z) + x² – y³ + z – 7 find ( ax ду az…

A: Answer

Q: 2. Evaluate f. (y²dx + x?dy) where C is the triangle with vertices (1, 0), (1, 1), (0, 0).

A:

Q: Evaluate ſſs 3y dS where S is the portion of y^2 + z^2 = 4 between x = 3 and x = 3 - z. %3D

A: The surface is ∬S 3y dS=∬S1 3y dS+∬S2 3y dS + ∬S3 3y dS

Q: 3. If V =(3x'y-z,xz' + y",-2r?:'). Find grad div at the points (2,-1,0).

A: Given , V=< 3x2y-z, xz3+y4, -2x3z2 > To Find , grad divV  Let  V=< V1 ,V2 ,V3 > On…

Q: 2.Evaluate . xy+ds where C is the right half of x2 + y? = 16

A: Integrate with use parametric form

Q: iv) if zx = (y)¯1 then zx/Zy %3D

A: We have to find          zxzy where , zx=(y)-1 If ,   z=z(x,y)  then,∂z∂x= derivative of z with…

Q: 1 du . Answer the following. 2t Suppose y(t) = [, 1 1+u?

A:

Q: "en J(2, 9) 5y), find =(z, y) = (z, y) = -(z, y) = %3D

A: We wil find the second order partial derivative.

Q: find the general solution of the following 2. X Ux +y Uy +t Ut =xyt %3D

A:

Q: y z = x + show that : 0.

A:

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: 3. If GH = 7x + 18 and JK = 81, find x. %3D H G 丰 K %23 世

A: In this question given that two triangles and both are same . Their sides are same and we can say…

Q: For x,y E [0,1], prove that xy(1-x-y)≤1/27

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Q: 1. If 4=x'zi-2y'?'j+xy'zk , find div4 at points (1, -1,1).

A:

Q: Using WXYZ from the previous question, if WY = 32, find XY. %3D

A:

Q: 10 Suppose z = x + 2i and u=3+ yi where x, y E R. Find the smallest positive value of x z + u for…

A: Given z=x+2i and u=3+yi

Q: If z = 7xy + y, find zx and zy. | Zy- Zx = %3D Zy %3D Need Help? Read It

A:

Q: (8) If w = 5x2 + 2y2, x -3s +t, and y s - 4t. %3D aw and at aw Find as

A: w=5x2+2y2,   x=-3s+t,  y=s-4t

Q: Solve the following DEs by LT. 1. y" + 2y' – 3y = sin(2x), y(0) = y'(0) = 0 2. y"" – 3y" + 3y' – y =…

A:

Q: 4. Evaluate J| 8yx'dxdy D D = {(x, y) – 1 < y < 2, - 1 < x < 1 + y°}."

A:

Q: If y = In(x – y) then y' at the polnt where y = 0 Is equal to Select one: b. 2 C. -2 d.=

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Q: 7. w = xe + y in z, Find dw

A:

Q: Assume w = ts³, 4ts) and (x,y) = 6xy of (х.у) - 4х Find as when t = s = 1 %3D

A: Given: From the given expression it is clear that 'f' is a function of 'x' and 'y', and 'x' and 'y'…

Q: a. ZXMY: > ZY b. ХМ <XY

A: Use triangle rule method.

Q: 3. Given z =, show that ху xy(zxx + Zyy) уз — х3 2 || x²y2

A: δwδt=δwδxδxδt+δwδyδyδt+δwδzδzδt       =ysin(z2).(-1)+xsin(z2).0+2xyzcos(z2)(2t)

Q: Given z=2. Find zyy xy.

A:

Q: 8. If JM = x + 17 and MK = 5x – 23, find JL. %3D H. 'K

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first…

Q: 4. The Cov(xr, y,) between x and y for the following data : Σ-15 Σy= 36, Σxy 110, X; 7 = 5 is :

A:

Q: T (x, y) (2x,y) is an is %3D

A: T(x,y)=(2x,12y) The transformation of any figure changes the size, shape and the position to create…

Q: If y = u³ - 2u + 1, where u = 2√x, find at x = 4 -23 23 33 none of the above dy when x =

A:

Q: 5Is there a value of r sotha X = 1 y = 2 and Z=r is asolution to the linear systen ? If there is ,…

A: Putting equations as;23-11-1241-2 xyz=11-712Augmented…

Q: Calculate 1₁ ₁² ² a feas = e¯² ds for the piece of the cylinder x² + y² = 16 for 0 ≤ z ≤ 7.

A: we have to find the ∬Se-zdS for the piece of the cylinder x2+y2=16 for 0≤z≤7

Q: Suppose x? + y + z² = 1 and z = g(x, y) > 0. Determine g Su (글, 글). 1 1 2

A:

Q: 3. If (x, y, z) = xy²z find grad 6 at (2,−1,3).

A:

Q: If A = ze?xVi VxA at the point (2,0,3) is + 2xycosy j+ (x + 2y) k then the valueof

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

Q: 11. f (x, y) = ery subject to a? + y? = 16 %3D

A: The objective is to find the lagrangian multipliers for fx,y=e2xy subject to gx,y=x2+y2-16. To solve…

Q: H.W 7.3 Differentiate the following 1. y = xsin 5x 2. 3 r Vx* 4

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

Q: 9. Find y if (a) y = 2" In (cot² (v7))

A: We are authorized to solve only one independent question, please repost remaining questions…

Q: (2? + y? + 1) dæ – (æy+ y)dy= 0 - %3D x +1 (x + 1)? Option 1 Option 2 (x + 1)-3 (x + 1)-1 O Option 3…

A:

Q: Perform the necessary operations to solve the following. Given z1 = 2 + 4i z2 = 5e21 Z3 = 4 cis 40°…

A:

Q: Given z=2. Find zy wy.

A:

Q: Find dy for the given values of x and Ax. y = /2x+9; x=1; Ax= 0.12

A:

Q: 2. Given z = , show that ху xy(zxx + Zyy) 2 y - x3 x²y? |

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

Q: 5. Find fx, fy, and fz given x®y? f(x, у, 2) z4 %3D

A:

Q: 5. Use Green's Theorem to evaluate (y – 42) dx – (2+x²y²) dy where C is shown below. y (5,10) 10

A:

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

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.