27. Let a, b eR 3 a> 0 and b > 0, A = (0, a) and B = (0,b). If D = {xy : x € A and y e B} %3D then sup D is A. b В. а C. ab D. a + b E. None of the above

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Q: 4. Suppose mCG = 6x +5, mĀR = 4x + 15, and mLAEC = 120°. Find: a. х b. mCG Ci .by e nger с. тAR

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Q: 4. If u = xy + y²z³, where x = rset, y = rs²e when r = 2, s = 1,t = 0.

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Q: If f(x,y) = x In(2y³ – 5) + y e* , find ! of and ôx ây

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Q: 8. Given that r || s and transversal t, 21 and 26 are supplementary.

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Q: I. If g(x) = Vx – 4 and h(x) = x³ + 4 , find (hog)(x) %3D

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Q: Let X, Y and Z be three independent undom variables such that E(X)=E(Y}=2E(Z}=2 and…

A: Solution Given that X,Y and Z are independent random variables then Cov(X,Y)=0 , Cov(X,Z)=0 and…

Q: 2. For a population with u = 40 and o = 5, c following X values: %3D a. X=41 z= b. X=47 C. X=33 z=…

A: 2) mean = 40 standard deviation = 5 to find z score for different value of X

Q: Calculate ∬Sf(x,y,z)dS For x^2+y^2=9,0≤z≤3;f(x,y,z)=e^(−z) ∬Sf(x,y,z)dS= ?

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Q: dt (e2t + 8et + 7)ā et+4 a) 9ezt +8et+7 +C b) In(e2t + 8et + 7) + c 2 c) 5Ve2t+8e*+7 +c e4t d)…

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Q: If w= Xze' y=va²–x² , z=Sirx, then ( dw is

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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: Calculate fff(x, y, z) dS For s f(x, y, z) ds x² + y² = 16, 0≤ z < 2; f(x, y, z)=e*

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Q: Given M = {(x, y), 1 < x² + y² < 4}c R². (a) Determine dM and aM. (b) Is M connected? Pathwise…

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Q: SL (e,9) f(x, y) = dx dy f(x, y) dy da 0. 0. 0. O True O False

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Q: 10, elseunére Y,= amonnt ok pollutant Per Sample collected a bove the Stack WHhout the cleaning devC…

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Q: If A = and if xy = 1, then det ( AAT) is equal to y a

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Q: Let -2xy – 3yz – cz, x = st, y= e", z=t? Compute ди (4,-5) = ds dw (4,-5) =

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

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Q: O ди If u = f(x,y), x = g(w) and y = h(w), using Chain Rule, what is aw O ди aw ди Əw || O all of…

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Q: dw If w = e+s9, r = uv, s = u + 2v, find di %3D O A. w(rv + 2s) O B. 2w(rv + s) O C. -2w(rv + S) O…

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

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Q: Let D={(x,y,z) : x2+y2+z?s 49, z2 0}. Evaluate z dv.

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Q: Evaluate S, y dv with E = {(x, y,z): 0 <x< 3, 0< y < x, (x – y) < z < (x + y)} %3D

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Q: ate f(c(t)) and ds = ||c'(t)|| i te Sc ƒ(x,y, z) ds.

A: Introduction: A line integral is a type of integral in calculus in which the function to be…

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Q: If z = xe, æe then dz = (e )dx + (ryev" )dy. Select one: OTrue OFalse

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Q: Prove Va e Z, Vb e Z, 3|(a² + b² ) – 3|a ^ 3|b where xy means x divides y, i.e., there exists k e Z,…

A: In this question we use congruence modulo.The following  are useful in this question1) If  3 |…

Q: If x2 + y2 = 2st − 10 and 2xy = s2 − t2, find ∂x/∂s, ∂x/∂t, ∂y/∂s, ∂y/∂t at(x, y, s, t) = (4, 2, 5,…

A: If x2+ y2 = 2st − 10 and 2xy = s2 − t2,To  find∂x∂s,∂x∂t,∂y∂s,∂y∂t at (x, y, s, t) = (4, 2, 5, 3).

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Q: Let D={(x,y,2) : x2+y2+z?s 1600, z2 o}. Evaluate - z dv.

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Q: If a > 0 and [[ 20*+v 20+u° dr dy = 1(e* – 1) , a =?

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Q: I, Fund warginal X warginal h(x) alistribution for 2. Fud conditimal pf Ty) Estmate 4. Estuale…

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Q: 4) Given: WX || YZ,WX = YZ Prove: AWXZ = AYZX W. Thoughts:

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Q: (6) If w = f(u, v), where u = x + y and v = x – y, show that = 2 ди

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

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Q: 1 Let D = (x, y) : 9 < x² + y² < 25, –y < x < V3 /| 4æydA Evaluate

A: Consider the region D as shown in the figure below: Here, the objective is to find the double…

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Q: If S e-t)rLnt dt, Find the valae of (n)

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Q: Sppose a ie ance compay ss a20.0o0 e mie tompany e The rt e Comp nd e epet e epo tem

A: Suppose a life insurance company sells a $290,000 one year term life insurance policy to a 19 year…

Q: 2. Let P:C0, 1] → C|0, 1] be given by Pp = " – e°. Compute dP(y). Be sure to justify your…

A: We have Pφ=φ''-eφ We need to find dPφ If we have  y=fx⇒dydx=f'x⇒dy=f'x dx Similarly, we find dPφ for…

Q: 6. Given M = {(x, y), 1 < x² + y² < 4} C R². (a) Determine dM and ÔM. (b) Is M connected? Pathwise…

A: Given that M=x,y,1≤x2+y2&lt;4⊂R2 (a) The objective is to find dM and ∂M dM=x,y|x2+y2=1 and,…

Q: An unevenly heated metal plate has temperature T(x,y) in degrees Celsius at a point (x,y). If…

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Q: Given that z = f (u,v), u=x + y and v = 2x - 2y. Show that 4. дхду ди?

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Q: Question dz If z(x, y) = x²y, x = ", and y = u'v², find

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Q: If F(x,y, z) = (5x – y + az)î + (bx + 2y + 5z)ĵ + (2x + cy – z)k is irrotational then find the value…

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