(2) O show that you Y2,43, and Yu are solutians to NOTE : Geueral Solufion

Q: 1. = (xy, y,z²+y) , f(x,y,z) = xy . Find Curl(F) 2. Div curl(F) 3,. Div (fF) 4. Divgrad(f)

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Q: Howin If Z=RCxy) and u=xayg V=x-y show that 3

A:

Q: Show that any two rows of a matrix can be interchanged by elementary row transformations of the…

A: According to the question,

Q: VX-2 H Evaluate dy/sx if O y=1X+1)“ Szx-1 at x=\ V(X+3)3 atメ=1 at X-3

A: Reupload other questions according to bartleby guidelines

Q: If x = u?(u? - 1)2 and y = (3u2- 1)2, then what is the value of dy/dx? A none of the given choices 3…

A: I am attaching image so that you understand each and every step.

Q: Gun the parhal frachun decomposten 4x-4-27 Dxt C 21 X-4 Find A,BC nd ☺ Evalate 4メー4メー27

A: In the given question we have to find the values of A,B,C and evaluate the integral value.

Q: dx Evaluate: a) - x² +4x + 20

A:

Q: Let FECT-2,21], foro. Prave that Max -2

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Q: = Y, = 1 + + x2 2 → 님s = 1 + +x? dz → Y, = 1 + 24 4 1 → Ys = 1 + 와 24 3

A: We have to find out

Q: 1 Evaluate using Convolution theorem : L

A:

Q: find the anti- deriva tive of the fun cticn: fcx) = 4 cSca cotx - Secx cot x

A: Derivative of function

Q: ulo,3) = 1+ y 1) u'xg U(x, o) = 1+x 2

A:

Q: スーマ 2) Lur: メ+2 メ-1

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Q: du - = In ( – u) +C If u<0, then u A True B False Question 2 8x – 16dx=2 x– 2 dx A True B) False

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Q: 0.5(マ+1) 221 if x(z) = x (2) す! (そ-1)(マ-0.6)

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Q: az əz az p?(r+1) Q2: Find if you know that : z = др + pre2p+3r+4t ar 'at t3

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Q: Evaluate y ds, C: I = t", y = t, - 2<t < 1

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Q: 1 Show that xn-m)}-2X(2). assu me. Zera 1c

A: As per the company's rule, we are supposed to solve one problem or three subparts. As there are two…

Q: ut (X, Tof) be the cofinita to p. Jet A = {1,3]. etス=R B= Co1) %3D Fnd Ā ļ B.

A: Here given that X=R  Let A={1,3} and B=(0,1)

Q: I Consiter Hhe follwing pdf: PxY (xy). -2 di) Find Px and Px e) Find Pxir (xly) for every y. fo)…

A:

Q: VXVYP(x,y) is equivalent to VyVxP(x,y). O True O False

A: ∀x ∀y Px, y is equivalent to ∀y ∀x Px, y.

Q: Guen that fay) z'y? 4 (2,g)キ90 .6; if (2,4)= 190) Rove that ラ

A: Given: f(x,y)=x2y2x2+y2if (x,y)≠(0,0)0if (x,y)=(0,0)To prove that f(x,y) ≤y2

Q: 2 2メ Q1 find dy for y = Cos ( In x + e

A: we have to derivative with respect to x

Q: QUESTION 6 Let fo(x) = nx2 +5 for neN and x ER 4n +3 1. Show that (f.(x)) converges uniformly on [ -…

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

Q: Show that 1 1 2 y? 2 = (y? – *)(2² – a²)(2² – y') 4,

A: We have to prove that  We will it by using the properties of determinants.

Q: [(3+ csc² x) dx = , r 3x- cotx+C a) 3x-3 cot x+C c) 3x+ cot x+C d) 3x+3 ta

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Q: DeMorgan's theorem states that Select one: a. (A + B)' = A' * B b. (AB)' = A' + B' c. A' + B' = A'B'…

A: We are given some statements to verify De Morgan's theorem. We can do this in the following way:

Q: Find y " if y = 2x sin x. O A) y" = - 4 cos x + 2x sin x O B) y " = 2 cos x - 4x sin x C) y " = - 2x…

A:

Q: 2 2y³) e³¹-7y²dy. Evaluate (7y - 2y³) (7y -

A: let ,  G=∫(7y-2y3)e(y4-7y2)dy

Q: Cietni let ane let G4)= ti t2+34)j +4K HIC4) = 2,4し + 34j+(-144)1k fnd の) H4)XG(H) b) G4). HG4)

A: Given: Gt=ti+2+3tj+4kHt=2ti+3tj+-1+2tk