=-i In (izt Ji-z2?) Sin 군 tan 군 = 늑In

Q: If L--in a/a¢, then [L,cosø ] = iħsino I O iħsin20 .II O iħcoso .III O

A: It is given that Lz⏞=-in∂∂ϕ,

Q: iF Zz fexiy) where R= ě- ě Gud ge ě- ě show That!- +y5= (e-ぎ)( - 24

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Q: 3) u = y f( ise XU, + yu, t zu. = ?

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Q: 3. Show Dat where re frenction s Centinueas? X+ y+2-H

A: In the given question we have to check that where the function is continuous or not and the given…

Q: Evaluate 7`-3z²+4x-8 dr dx 프(22+4) O In#(2? + 4)*| + In (2 + 4)* + -글tan 1 (플) + C Omp(22+4)| + -tan…

A: The solution is given below in the next step:

Q: 3.- De la figura, calcular "a°+Bo" Bo 40° За%

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Q: .3 , Ry* In y dy

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Q: A = Acosx + Bsinx + 1 and B = -Asinx + Bcosx Then, what is the A, B ?

A: The detailed solution is given below  Thank you

Q: a²u , a?u k x² ди at ax2 ' ay?, ||

A: In this question, we used the separation of the variable method to solve the 2-D heat flow.

Q: 17. [sec u] = (sec u tan u)u' dx

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Q: 9 Determine fcot 20 sin' 20 d0.

A: 9. Given Integration can be simplified as

Q: Find the areg between Ye CosX an d y--SinX trom o tr .

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Q: Suppose csc(4) =2 where A terminates in QIV, and sec(B) = -3 where B terminates in QII

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Q: /2² tan (r*)dz Evaluate

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Q: re 1 da Ji rVI- (In x)²

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Q: M= sen 50° · cos 10° - sen 25° cos 35° sen 12,5 °. cos 12,5°

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Q: How: e way, prove that By the sam e 王Sinw.k sin Wok

A: Through Z-transformation, we can transform a real time sequence to a complex sequence. The…

Q: 27. sec' u du = sec u tan u +; In | sec u + tan u| + C

A: Given: verify that ∫sec3udu=secutanu2+lnsecu+tanu2+c for verify it, we integrate left hand side…

Q: 13TT 6 tan 9. Sinl TZ |12 12.5in 105° 12

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Q: Assume that ax = 97 and bx = ax % 23. What is the value of bx? Assume that ay

A: Recall: Modular division   x % y=x-(x/y)*y   Given,  ax=97, bx=ax % 23

Q: Let u= and v= identify 3u+v???

A: We have to identify 3u+v for the given vectors: u=2, -3 and v=4, -1. Finding 3u: 32, -3=6, -3

Q: 2. If u = x + y + z' - 3xyz, find the value of x- +y+z

A: To find the partial derivative of the given function u(x,y,z)

Q: Prove tuat fsecodo-On/sece + tanco

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Q: 2π tane 13-12cose de

A: We will find thw integral.

Q: What is the value of the i in the ex

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Q: 9. Find the measure of Zu given that pllq. x-138 y-42

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Q: Suppose that X,Y⊆UX,Y⊆U. If Pr(X)=0.29Pr, Pr(Y)=0.23 and Pr(X∩Y)=0.08 what is Pr(X′∪Y)

A: consider the problem by Venn diagram Here Y is the subset of X And ABCD is the universal set  So…

Q: T = (2,4) j= (5, 8, 10) %3D ΣΣυ-) =? ji 2.

A: ∑i∑jyj-xi=5-2+8-2+10-2+5-4+8-4+10-4                        =28

Q: 31. tan 0 = 4 and 0 terminates in QIV

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Q: Use Forward – backward Method to find the new ho, where - ho = 0.3, Po = 0.98,01 = 2.41 and a, = =…

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Q: prove tan o: - -ie 2i

A: We can solve this problem using this formula. e^ix = cosx + isinx. e^-ix = cosx - isinx.

Q: 3. Suppose csc(A) = where A terminates in QIV, and sec(B) = -3 where B terminates in QII

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Q: sinha da 1+cosha

A: ∫sinhω1+coshωdωLet u=1+coshω.=∫1udu=lnuSubstitute back u=1+coshω=ln1+coshωAdd a constant to the…

Q: Prove that osIl" + sini = tan s 56° cas 11-sinll %3D

A: -To show:cos11o+sin11ocos11o-sin11o=tan56oBasic formula needed:-tan(A+B)=tanA+tanB1-tanA.tanB…

Q: hao that rectors X, - (1,-3,0,2) 3 E1,-2,', 3) ace dinac deandent. Kx C2,1,1, 1)

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Q: let u = sin" ax = due

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Q: a?u at (r,y)=(2,2), when Evaluate u = In vr² + .

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Q: 8-JIE FCx²_ ye, y-z²) =• then Prove that + Xそ 2Z

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Q: 7/4 26. * sec*e tan 0 de sec*0 tan*o de

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Q: sin (tan' 8, zan-)= 0.35 O -0.35 O 0.40 O -0.40 O O O

A: Inverse Trigonometric ratios are just the opposite of Trigonometric ratios as Trigonometric ratios…

Q: let A=(ai)nxx be symmetric and positive definite. Show that dii >o, i = 1, 2, ...

A: Symmetric and positive definite matrix

Q: what ase the Coor dinatos of the Ha reflectiaw across yーメ imonge k (-S,-2), AL-4,'), ico,-),J…

A: Given point is : k-5,-2A-4,1i0,-1J-2,-24  To find the reflection of point about y=x

Q: State the postulate or theorem that justifies the statement. 1/2 3/4 7. 23 = L7 8. 23 = L6 5/6 7/8…

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Q: Here is an informal proof that tan¬11 + tan¬|2 + tan¬13 = 7. Explain what is going on. %3D

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Q: 2. Sketch 0 in standard position if cose = 8. and deter %3D

A: Given that: cosθ=-817

Q: S- cos ve ve sin? ve de =

A: We will evaluate the given integral.