3. s|| t, m/1= (3x – 6)°, mZ2=(5x + 2y)°, m23 = (x + y +6)°; Find x, y, and the measures of 21, 22, and Z3.

Q: Given f(x, y, z) = 22 + 2y? + 6z2, find fa(x, y, z) = fy(x, y, z) = f:(x, y, 2) =

A: Solved below

Q: Given: z = a' + æy", r = uv² + w®, y = u + ve" az Find when u = 2, v = – 3, w = 0 dv

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Q: Given, f(x, y, z) = xln(x?y)+ x*y – e a2. Compute fa, f, fry, fayz-

A: If f(x,y,z) is a multivariable function, then the variables x,y, and z are called the input of the…

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: 14. Find the distance between the two skew lines. x = 2+t x = 4+s y = 3-t y=1+s z = 4t z = 2- 2s

A: Given query is to find the the distance between two skew lines.

Q: Given: z = x3 + xy", æ = uv + w°, y = u + ve" az when u = 3, v = – 2, w = 0 Find

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Q: Give an e xam Ple of (T, m') ameasurable SPa ce F; x → T {E & CX : fCE) ET3 m is not

A: Given, Τ, m a mesurable space fi:X→Τ , m=E⊆X: f(E)∈Τm is not a σ-algebra on X.

Q: Given w = xysin(z²), x= s-t, y = s², z= t². Find ay

A: Explanation of the answer is as follows

Q: If m1 4x-7 and mz2 6x- 13, find the value of x so that z1 is comnplementary to 2. Find the measures…

A: Two angles are said to be complementary angles if their sum is 90°. Two angles are said to be…

Q: 4 - If w = x + 2y + z? , x =, y= r2 + In(s) , and z = 2r aw find at the point (r, s) = (-8,4). as…

A: See the attachment

Q: The results of an independent-measures research study are reported as “t(22) = 2.12, p < .05, two…

A: Given that, Degrees of freedom = df = 22 α=0.05

Q: Q1/ If z = e*?y, x = Vuv, 1 y = Find: əz а- ди az b- dv

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Q: dz If z(x, y) = x²y, æ = 4, and y = u³ v², find du

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Q: Given F(x, y, z) = (z, x, y) Solve for: а) divF b) curlF

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Q: If (x, y) = (-V3, 1) , then find r and 0.

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Q: 6) Given that h(x,y) = e**y® _ ¥² Find hxx, hxy, hyy, hyx

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Q: aw b- if w = x + 2y + z2, x , y r2 + Ins and z = 2r , find the value of ar .rk)

A: We will solve the following

Q: If MZLRK = 74°, then what is %3D m/KRM? L R/1 K J 3/2 N 4 6 M

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Q: dw и and if w = x³ + In (²) dv E) + y, x = u² –" + 5 and Find - ди y = 3v + 5u and point…

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Q: 2) What is the relationship between 2J andOZK? K Supplementary Adjacent Vertical Complementary…

A: If sum of two angles is 90 degree. Then the angles are called complementary.

Q: 10. y = x2 + 3 ve y = 11 – x² eğrileri tarafından sınırlanan bölgenin alanı aşağıdakilerden…

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Q: The distance between the following two skew lines is Line#1: [x, y, z] = [1,1, 10] + t[5, –3,0]…

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Q: 4 - If w = x + 2y + z? , y = r2 + In(s), and z = 2r = X find at the point (r, s) = (-8,4). %3D

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Q: 28. The values of y for various values of x are given in the table below. | 2 3 4| 5 6 3 3 4.2 5.2 6…

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Q: Q3. If R={(x,y) e R×R: x-5=y3+2x} , S={(x,y) e R×R: x2+3y=y+7} then find RoS and S•R

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Q: b) By using the given substitutions, show that i. Sx(x – 3)5dx =÷(x- 3)“(2x + 1) + C, z = x - 3 14…

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Q: B = {(x,y xs2, -a sy s3, 0£21} SS, x*yz²dV 2 'B

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Q: Q3: A. Find Wer if W = f(x, y) {x = reost, y = rsint W₁,

A: From chain rule we know if w=f(x,y) and x=g(r,t) and y=h(r,t) then, ∂w∂r=∂w∂x∂x∂r+∂w∂y∂y∂r

Q: For a bivariate analysis involving the two variables X and Y, if E(* – a)(y - 9) = -76, n = 33, S =…

A: It is given that, ∑x-x¯y-y¯ = -76, n = 33 Sx =1.54, Sy =2.40,

Q: 3 If U<xy+ yZ +Z X Find d Ce, y,2) y it bcist. V =X +Y+Z, W=)X YZ %3D

A: Given : u= xy + yz +zx , v= x+y+z , w = xyz To find: ∂(x,y,z)∂(u,v,w) Solution: Let   A = u- xy - yz…

Q: 11. If mVQ = (y + 7)', mQR= (x + 11)', mRS = (3y)', and mST = 65', find the values of x and y. %3D S…

A: According to the Bartleby guidelines only one question can be solved at one time, post the remaining…

Q: 2 If V) 3 ли?h +- л , where h %3Dh() and r e R, then V'(1) is A. 2ærh -r'(1) + Tr² · h'(1) +27r² ·…

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Q: Given: y2, = uv4 + w*, y = u + ve"| z Find when u 1, v = 3, w = 0

A: We know:

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: 2s f( 8ts“, ), (x, 9) = 7xy, and af af ;(x, y) : Assume that w= Find and ds %3|

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Q: Calculate ffs f(x, Y, z) dS For x? + y? = 16, 0 <z< 7; f(x, y, 2) = e Sls f(x, Y, z) dS 4pi(1-e^-7)

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

A: Connected and path connectedness

Q: Consider the diagram below. d/ r 12 If mzr = 37°, which of the following is the measure of Ls. %3D A…

A: We have to find angle

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

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Q: If UV = t+3 and WY = t, what is the value of t? Y W

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Q: D Frnef far s ? syf 2=7

A: You must have idea how to solve the equation. The explanation part is given below.

Q: If C is given by x = 2t, y = −2t, z = t, 0 ≤ t ≤ 2, evaluate Z C (x − y + z) ds

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Q: Given f(x, y, z) = 4x2 + 2y? + 6z?, find %3D fa(x, y, z) = fy(x, y, z) = f:(x, y, z) =

A: To find fx(x,  y,  z) =........... fy(x,  y,  z) = ...........  fz(x,  y,  z) =............

Q: a) b) Compute E(X|y), Var(X) and Var(Y). Hence, deduce the value of p= Corr(X,Y).

A:

Q: If xy2 3x2y + C, then what is the value of C at (2,2)? %3D

A: Given query is to find the value of c.

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

A: