is: -2-z A) II -2(y – 2) dy d.x 2 B) -2r(y – 2) dy dr c2-z C) (-2(1+ (у — 2)?)y- 2) + у) dr dy 2-2 D) (0, т, 0) . V4у - 2)2 +1 dy dr

Q: dA Calmilate Je= JJ Jxtxyz behween ay?sl6, x?ey?s1 and unde y=2.

A: See the attachment

Q: The distance from the point P(2, 1, 0) to the plane 2x + y + 2z + 6 = 0 is 3.7 False True O O

A: We can answer the question in the following steps using the required formula.

Q: Y axis label? A. Y B. Iny C. 1/y D. Y^2 X axis label? A. X B. Inx C. 1/x D. X^2 B=?

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Q: Given y 16e4x + 5e find y. %3D A. y = 16e4x + 5e + c В. у %3D 16е4* + 5ех + с y = 4e4x + 5ex+c D. y…

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Q: 3-Evaluate Fdr where 2X Cisgiven by rit) = t3+U-3t)rék

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Q: 24 dA - I 3x – Y when D is the parallelogram bounded by x – 2y = 0, x – 2y = 2, - and Зх — у 3D 1,…

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Q: Suppose that f(r, y) = 3x y + 8a? + 4y? then find the discriminant of f.

A: f(x,y) = 3x²y² + 8x² + 4y² So, fx = 6xy² + 16x  &, fy = 6x²y + 8y  &, fxx = 6y² + 16 &,…

Q: Determine the intersection of 3x – 4y – 5z = 0 with [x, y, z] = [3, 1, 1] + t [2, -1, 2].

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Q: 2 13 y+y+y%3Dx"+4X+12%

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Q: 2. y" – y – 2y = 4e¬t %3D - -

A: Solve the differential equation

Q: -R show that D-2D-31 =0 and hence find D", (b) Given that D %3D

A: inverse of matrix

Q: If WZ = 68 and UV = 94, what is XY? %3D V W Y U Z

A: Given ,  WZ = 68 , UV = 94  We have to find XY

Q: Use Gramer's Rule to Find K,y and Z -y-2Z = -8 + 32 = 2 %3D 7X +y+Z = o

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

Q: Find r, y, z and t where 6. + 2t 4 r+y 3 %3D -1 2 +t

A: Given  3 xyzt = x6-12t + 4x+yz+t3 We have to find x, y, z and t.

Q: dz where C is the bo + 6)

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Q: ar to 2x -By + 2 =

A: we have to determine such that 3x + 2y – 7 = 0 is perpendicular to 2x -By + 2 = 0.

Q: For planes 2x + y – z = 2 and 2x + 3y + 5z = 4,

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Q: The distance from (4,-5, 10) to yZ-plane is O A.4 O B. 5 C. /141 OD.10 OE. 125

A: Solution is given below:

Q: Solve : dy- (- y) . Inn dy %3D ,13-1 Ordinery Dibberential equetion.

A: Solution:Givendydx=(1-y13)x2 ln xy13-1

Q: r In y dr, where D is described by 1 < r < 2, e <y<e aD | V1 +r² dy, where D is described by -1<r<1,…

A:

Q: Verify that wxy = wyx for w= In (4x + 5y). W. ху Wyx Compare wxy and wyx. Choose the correct answer…

A: Given query is to find the correct option for partial derivatives.

Q: f. . Prove false by creating a counterexample: 9(AUB) C P(A) U P(B)

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Q: What is the dimension of {(x, y, z) E R³ : x +y+z = 0}?

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Q: Find the angle (in degrees) between the planes 4y + z = 4 and – 4x + 2z= - 3.

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Q: Suppose that a?y +xz? = 3 and let u = -r³. Find the value of du when (x, y, z) = (1, –1,2). dz A) –2…

A: Given that: x2y + xz2= 3 and u=-x3 and (x,y,z)=(1,-1,2). We find du/dz ot differential with respect…

Q: dz, C:z| = n. %3D 2++13z2+36

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Q: Find b∈R so that ∫C4x^2dy − 2xydx = 53, where C is the segment from (1, −5) to (−2, −3), followed…

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Q: 9-The distance d between the parallel planes -2x+y+z 0, 6x-3y-3z-5-0 is: a) V54 b) 54 V5 d) 3 c) e).…

A: Distance between two parallel lines

Q: If VW = -2z + 29, UX = z + 9, and ST = z + 13, what is UX? %3D V U UX w/ ト

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Q: bus, %3D 2. BC = 28 and BD = 32 %3D FD = C EF = F EC =

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Q: z)dy + (y -y of the triang Land (0 o 6)

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Q: Frd he e of teepkan in the at quectert baurded on he let ty he ydx, bebw by tte carve x- boletby…

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Q: Show that D = |d1-d2l Vaz+b2+c2 P+1 represnts the distance between the parallel planes ax + by + cz…

A: Please refer the attached image for complete solution.THANK YOU.

Q: Evaluate the derivat rour answers on a separate sheet of paper. 1. C. x+3y y2 + 4 D. - %3D B. 2-3y…

A: Dear student. You have posted many questions. In our policy, i have answering the first three…

Q: Be. La ecuación diferencial (4x²y² + 6x y)dx + (5x³y + 8x²)dy = 0 tiene un factor integrante de la…

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Q: dy dr² in terms of x and y given that 6- 7xy = 6x - 7y %3D 22. Find

A: Given that ,6-7xy=6x-7y differentiate this equation with respect to x ddx(6-7xy)=ddx(6x-7y)…

Q: {(x, y), 4.x2 + 9y² < 36} C R2 ected? pathwise connected? Justif

A: Connected and path connectedness

Q: Q- show that yo+(?) sy + (2) B²y_₁ = y + (1) DY...+ (1²¹) Ay -

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Q: %3D 23. f(x, y, z) = 2x + z? subject to x² + y? + 2z? = 25

A: Lagrange's Multipliers: The Lagrange method is used to maximize or minimize a general function…

Q: +4z=8 and

A: The equation of the plane as, x+z=1orx+0y+z=1 Here, a1 =1,b1 =0,c1 =1. and x+2y+4z=8 Here, a2 =1,b2…

Q: Find mZR. Q 28 28-/2 R mZR = | %3D Submit

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Q: 4y" + 16у' + 17у %3D 0, when y %3D 1, х %3D 0;B у 3D 0, х %3Dт

A:

Q: If f(x,y)3D 구+y, ry = , then fr(, y) is b.- (x² + y² )² a. C. 1² + y? (x² + y²)² 2r

A: Given query is to find partial derivative of the expression with respect to x.

Q: Calcula y az dy z = a° – 7x° y + y® O dz = 5x – 21z²y³ = -21z°y? + 6y dy O dz = 5x* – 21ay? + y8 = a…

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Q: H = 2 = 0, n2 = 22 and n, 18, thus df is: %3D %3D

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

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Q: a. The y' for y = (u – 4)z and u = x² + 4 b. The y' y = Vu and u = Vx

A: Given;          a.  y=u-432 and u=x2+4b.  y=u        and u=x a. Solve for y'…

Q: me succe LO SUIVE uie folnoWing 2 и (х)— | (x -t )u (t )dt 2 --

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Q: Given f(r, y, z) = v 4x2 + 6y² + 3z?, find

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Q: What is the form of y, given (D² + 9)y = cos3x С. Ур 3D х(Asin3x + Bсos3x) Yp = x²(Asin3x + Bcos3x)…

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