5) fay (x. y) 7) fyy Cx,y)

Q: 1. If CW= 15, find CXand XW. 2. If BX= 8, find BY and XY. 3. If XZ 3, find AXand AZ

A:

Q: 4 À =A, i + Ayj + Az kk and + Byj + Bzk prone ズx8 %3D Ax Ay Az B By Bz

A: Given, A=Axi+Ayj+Azk ; B=Bxi+Byj+Bzk, so the left-hand side is:…

Q: Compote clerivative bao fx)= cot(x), x=0.8 flx)=cot(x, %3D fl0.8) =

A: We use basic inverse trigonometric identity.

Q: 3,4,s, then メ. rind PCX=5) , P(X==), P(x<2) P(XS2)

A: Given that  Let X denotes the random variable having values 1,2 ,3 ,4,5  We have to find P(X=5),…

Q: s^(1 – u)Vū du 4

A: Given integral   ∫141-uu du

Q: Let C z-1=3 and1 = §, = dz. Then

A: The solution is given as

Q: f(x, у, 2) %3 3x?у - 8хуz + 7yz? f,(x, Y, z) = 5,(x, Y, z) = f,(x, Y, z) =

A:

Q: Suppose ū = (–5, −4, −5) and v = (–2, 4, −5). Then u x vis Uxuis and

A: Topic- Cross Product of Vectors

Q: If →               →       v = (x, y), || v || = 4, and →           w = (−2x, −2y), then →…

A:

Q: 4. If X and Y are independent RVs, then O2+ ,(@) = ¢,(@) × ¢,(@)

A:

Q: 20. 7 (xx + y), x= st, y=st s= 1, t = 1 %3D %3D

A:

Q: What must be the value of y if u = (1/3, y, -1/2), v = (6, 1/8, 10), and u · v = -5/2. 3 1 4 O 2

A:

Q: 1: find af/ox and af/ày.. ) (x, y) = Vx² + y²

A:

Q: 4. If /(r.y)=- , find f, and f,. V+y

A:

Q: 2) y"+2y'tey = &t, y(9)= 2, y(0)= 7 et, ylo)= &, /(0)=-7

A:

Q: 2 Caleudale the verbor fanetiom dwsugene and Cuele g the fallowang

A:

Q: 5. If z = In then determine if the following statement is true or false. Justify your answer. + y…

A: We will find whether the statement is true or false as following.

Q: If x,+iy, =x,+ iy, then x =y, 1

A: Given there are two complex numbers. They are x1+iy1 and x2+iy2. And it is given that x1+iy1=x2+iy2.…

Q: Queston #o 4 Show that X, Ixe, where x, and Xe E IR X= (1,1,1, -1) Xz = (4,2,2, -1) %3D

A:

Q: 43 If uzzt+y+z , u?v =y+z,u³w=z, Show that a (x,4,z)

A: Q3. Here, u=x+y+zand,u2v=y+z⇒v=y+zu2=y+z(x+y+z)2and,u3w=z⇒w=zu3=z(x+y+z)3

Q: If y=a-5.* and z=a-bs.y , then x is equal to

A:

Q: If x, +iy,=x,+ iv, then x =y,

A: Given x1 + iy1 = x2 + iy2

Q: If fxy (x, y) = , ,0 2) =

A: Given,fXY(x,y)=x+y27 ; 0&lt;x&lt;2 , 3&lt;y&lt;5

Q: 3. Evaluate Se(x² – iy²)dz along the straight lines from (1, 1) to (1, 8) and then from (1,8) to (2,…

A:

Q: b) Evaluate ſ, S s,(x² + y² + z²)dxdydz.

A: Integrate with respect to x and plug the limits.

Q: 3. Consider A={m,a,t,h}; C={x:x=3n,1sns4,neN}; B={s,t,e,m} ; D={x:x=2n,15n S6,nEN} What is ANB?

A:

Q: If U(x,y)=In(x²-y³) then U+Uyy= ....... ....

A: The solution is given as

Q: 12)List the first five berms of Ehe regence a,=6, aan= 5a -4 as=3 a=? asz?

A:

Q: 8low Mut a chhan s duj tubadh ree dettel a O Peve hnd he paset L={33, 4,62 uder olvisibilty is not a…

A: We use definition of distributive lattice to prove our statement.

Q: и%3D 19, —8] v = [4, –5] 4u + v = | Ex: 5 :

A:

Q: Creular Decaululiom x/lyecn)= [3,5, 4), X= [1,2,1] Tad han)? 1 2. 2, + 3.

A:

Q: 1. ztas o ubenx y 2. xdy – ydx = x²dy

A: Follow the procedure given below.

Q: 3 For f(x,y) = In x+y°, 4,8)

A:

Q: (4). Show that of X~UCO,!) as Y=-n-X)~ txponenkalla),

A: i) Uniform distribution : If X follows Uniform distribution over interval (a, b ) then cumulative…

Q: 13. If T:(x, y)– (x – 1, y + 6), then T':(x, y) → (__, .

A: GivenT(x,y)=(x-1,y+6)To findT-1(x,y)

Q: p(x, y) 3/24 2/24 1/24 1 2/24 5/24 2/24 2 6/24 1/24 2/24 Е(X), Е(Y), H(X), н(Y, НХ Ү), аnd HIX, Y)

A: It is an important part of statistics. It is widely used. Since the question has multiple sub parts…

Q: solve jhe Bemoulli diffarantil by let hing V= ; 3.

A:

Q: Fnd repe of chonge ol cla drea A, sirel eireumferna (ie

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Q: Find the Duf of S(x,y,z) = 3xvy+4xz² from Po(2,1,1) to P(4,7,2) %3D

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Q: 14) Find mzYIJ if mZHIY = 28°, %3D MZYIJ = 139x + 1, and mZHIJ= 168x. %3D Y

A: Given : m∠HIY = 28°m ∠YIJ = 139x + 1m∠HIJ = 168x

Q: Bolum 174- Part I Soru 1/9 10 Puan. Yanlı ce = In |a|+ C. Doğru Yanlış O Seçimi Sıfırla

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Q: 0 Define uivesti ble matux . kudd the hiveyse A= 2.5 23 253 108

A:

Q: prove in words: If {X, Y, Z} ` A ∧ ¬A, then {Y, Z} ` ¬X ` = derivability

A: Use the deduction theorem: Deduction theorem states that, If ┌ A⊦B then ┌⊦ A→B

Q: 28. f,(2,4) if f(x, y) = x* In y

A:

Q: 6. Compute fxyx (1, –3) and fyxy (1,–3) for f(x, y) = (x + y)*.

A: