20. Choose the method that explains why AFGH AJKH. F G A AA B SSS C SAS D not possible H Given: FG || KJ K J

Q: (a) Si = {(x,y) | y divides x} (b) S2 = {(x, y) | x + y is odd} (c) S3 = {(x, y) | xy is odd}

A: List the properties of relations. Reflexive: a relation R on a set A is reflexive if a,a∈R for all…

Q: What isP + Q+R+S? 5 v25-2² 3 PQR S S S1dzdy dæ = S S S S dz dr d0. 0 0 0 %3D 0 0 0

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Q: А- If v = t". et. Find the value of n, which satisfies the equation ar (r2 = r2 dv at

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Q: Find where 1)let . V°g r = l7| -- g(r) = In(r³) s = xi + yj + zk * vo x Vp 2) find = yz + zx2, P =…

A: Gradient and cross product

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: We are given that G(x) is an antiderivative of g(x), G(23)=39, and 23 |g(z) dr = 95 %3D 50 What is…

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Q: Find the value of h.

A: Since question number is not given, I am solving Q-37, if you need solution of others then please…

Q: Determine the particular solution1 1. (2-r) dr=rsin 0 de; when 0 0 and r 1

A: The given differential equation is 2-r2dr=r2sinθdθ. Rewrite the above differential equation as…

Q: 3 pts What is the general solution of ( + s) dr + s? (3r + ks) ds = 0 where k is a constat . 4rs + +…

A: Differntial equations

Q: sin Vr?+y? dzdy Vz²+y? Evaluate: 6' S O (V2 2) 8 (2–/2)= 4 (2-V2)T 8. O (V2 2)m 4

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Q: Which of the following expressions is not well defined? Select one: -5 dzf(x,y, z) O b. da 2 dy f…

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Q: (a) Calculate the p-value for Hạ: o² # 20, n = 13, x = 27.5. %3D 32, n = 29, x = 34.5. %3D < p <…

A: Provided information is: (a) Ha:σ2≠20, n=13, χ2=27.5 The p value of the test statistic can be…

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

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Q: a)-What is fof g ofh 3)? fari= gal= bprove f:R¬R fer )=4lis not Surgective and is not injective.

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Q: 25. Which of the following is the answer for secx = V2 A. E + 2nk|k E Z}U {+ 2rnk|k € Z} 3 B. G+…

A: We will solve the problem

Q: R and r are defined by E(; - 1)(y, – I) VE(*; - 1)² E(Y SSR Sry S,, Syy R? TY r = SST' (1) Show R2 =…

A: Given : R2=SSRSSTr=∑xi-x¯yi-y¯∑xi-x¯2∑(yi-y¯)2r=SxySxxSyy

Q: (3) State whether the following statements are true or false and justify your answers. (a) 3x E Z 3y…

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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: Q5.Given that W = f(x.y.z)% x+2y+, find : aw aw in terms of s and r, if and x=, y=r +Ins, =2rr.

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Q: Which of the following is the general solution to (D-3) (D+1) y=0 Oy = (Ao+ At + A2t?) e + Be Oy =…

A: We have to find solutions

Q: Q2) If y(0) = 0 and y'(0) = 0, ƒ (t) = e*t, %3D 1 y(t) = (D + 3)(D + 2)(D + 1)ƒ (t), determine y(t).…

A: Here first calculate differential part.

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

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Q: 6o..prove.thats U. W V.W U.r V.r L

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Q: dy The appropriate substitution to solve da + In(z + 1)! = x°y3 is O z = y? O y = vr O z = y* O z= y…

A: Topic:-  differential equation

Q: Assume Ta b det a 4. Compute За 36 3c det 2x + a + u 2y +b+ v 2z +c+ w -V (Enter the numerical value…

A: Given: detabcxyzuvw=4 To find: det3a3b3c2x+a+u2y+b+v2z+c+w-u-v-w

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: y = 2teat²+bt+c y = t°e? y = (at³ – 3bt)² y = In(ax)e²x

A: As per our guidelines we need to solve only three sub parts. Please repost the remaining subparts as…

Q: b с a+х b+у с+z a [E] If A = |p qr = 6, evaluate det (A) where A = 3x Зу 3z -p -r

A: This question is based on determinant properties.

Q: Which condition would prove AJKL AXYZ? K Y 7. 56 7. O A. JK XY %3D B. JL XZ 8. C. KL YZ 8. O D. JL…

A: The given sides are, KL=56  YZ=7

Q: R² and r are defined by SR E(*; – T)(yi – ỹ) Say R? SST' r = VE(x; – #)² L(yi – g)² (1) Show R² =…

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

Q: Q/ If the joint p.d.fof X and Y as f(x,y) = }*y (cx?y ,x2sys1 ,0. W find the value of c and P(x 2…

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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: (iii) Given that |f(x, y) = e* sin(y) + x²y² = y + 10 a² f əxəy af ax Determine dx and Type your…

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Q: Ho We By the Same wayprove e that : X J, (x) V+1 xp

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Q: A LTI systemis deseribed by the DeE ý+6y+8y=2x4) find hit),then find.y(t).if X(t) = te t>o. -2t %3D

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Q: R and r are defined by E(r, – 5)(y – T) Sry VS., Syy SSR R2 r = SST' (1) Show R? = r².

A: If y = a+bx is the linear equation  Correlation attempts to measure the strength of the relationship…

Q: 2 10 Which one is equal to S zf(1,y) dz dy? 0 y O VY) O EIY O EIY)X=x] for 10 > x > y O VIX] O…

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Q: Q5/ If w = f(x,y),x = rcos0,y = rsin0 show that: af af 5² + 1 dw Əw. -)² + ar r2 a0 дө

A: The chain rule can be used to calculate the derivative of the complex functions. The function which…

Q: 4. Given (f(x, y) = tan (y/x)), then af 1ay is equal (c) x +y" 1/x (d) x' + y ja) x +y? x +y

A: Some of the formulas of the derivative are ddxtan-1x=11+x2 ddxaf(x)=addxf(x) The partial…

Q: Given f(x, y, z) = In(x² + y? + z?), show that 2 dy? d22 x2 + y2 + 22

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Q: If f(x1..... ,e) =g(6,0) h(x,.. ), then %3D Select one: a. consistent b. efficient C. sufficient d.…

A: sufficient estimator:-An estimator "θ^" is said to be a sufficient estimator for θ if it containsall…

Q: 5) *=ClSln t ,y =4 csst t=-2 %3D a) determine dy b) and graeh

A: we have to find derivative

Q: - (3x + )*. Let y Then - A(Ax + +)" (8 -)", where B dy = Al 8x + xp A = B = C = D = I| || ||

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Q: differentiate. a) g(t)こ3-2t St +1 c) H(u)= (u-JJ) (utro) d) FLt)- モ-3 %3D

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Q: Q2. Let a b c A = |d g h Assuming that det(A) = -7, find (a) det(3A) (b) det(A) (c) det(2A) a d (d)…

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Q: {(x, y), 1 < x² + y? < 4} C R². Q6. Given M = (a) Determine dM and aM. (b) Is M connected? Pathwise…

A: Given that M=x,y∈ℝ2:1≤x2+y2&lt;4. a) Given M is a region enclosed between open circle of radius 2…

Q: M/4 using loy dusion, fral the remander, n terhs add b when P2)=x" " tax +6 idinided bu. 3 32+ 6x…

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Q: Given f (z) dz = 8 and g (z) dz = 4, find f (z) dz. %3D %3D 07 O -8 O Not enough information O 4 O-7…

A: Using the properties of definite integral

Q: Let a A =| d e f h i and 2a 2b 2с B = 2d 2e 2f i Given that det(A)=1/12, what is det( B-)? Answer:

A: Other