(7 In GL(2,Z,), det O 35

Q: | 21×VX2 + 1 dx = 14 2- 7, what is 21uV u2 + 1 du? Given that %3D

A: The properties of definite integral is ∫abf(x)dx=-∫baf(x)dx. Use the property of definite integral…

Q: If z = e'x + y In(x), find z, and z, Zx Zy II

A:

Q: 3. RT = 22 and US = 18 VT = UV = S RS = %3D U T.

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Q: Solve the following first-order linear DE's. y' + (cotx)y = xcscx, y = 1

A: we have to find the general solution

Q: Evaluate (2z + z – i) dz J|z-il=1

A:

Q: zdz + -dz. Izl=1 Z :Select one True False أخل اختياري

A:

Q: 0. gy c ube a losed Cont Conlainig he okigin it. Pycoue thal az 2.

A: I have used Cauchy integral formula

Q: Suppose w = 6xy + In(4 + z²) , x = - , Y 3u + 9v, z = cos(8u). Find dw/dv when u = -5, v = -6. dv…

A: *to find:- Partial derivative of w with respect to v, when u = -5 & v = -6

Q: f(x, y) = In(4 – a² – y?) + fonksiyonunun tanim kümesini belirleyip tanim kümesini koordinat…

A: for defining ln function :4-x2-y2>0x2+y2<4            .....(1)

Q: ue of the det e 16 is

A:

Q: Let Z, = 2 cis 30° Z2 = 3elli %3D Z = In (1 + i) If Z = Z,Z, +Z3 Find IZ.

A: First we convert all expression into a+ib form then make necessary calculation.

Q: y" = 5sin (2z) denkleminin çözümü aşağıdakilerden hangisidir? %3D

A:

Q: 2xy + In(8 + z²), x 7v2 ', y = 9u + 3v, z = cos(4u). Find dwlðv when u = 5, v = 2. Suppose w = ,X =…

A: We have, w=2xy+ln(8+z2) x=7v2u,y=9u+3v,z=cos(4u). Point (u, v)=(5, 2)   As we can see that x, y and…

Q: i =r+ 1+1 1le n de bifureation? on?

A: This is a problem of Dynatic Model, stability Analysis.

Q: In r dy If y , then is cosh z

A: Straightway proceed to differentiate both sides,

Q: 0/ the Valke of & that makes the Velteof the fumetion 2.

A:

Q: In kite JKLM, JMN 25°, and ZLKN = 43°. J K

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Q: 2) Prove that: d? L„0) = n;(n – 1) %3D dx²

A: Consider the given information: Let Laguerre polynomial is given by, Lnx=∑k=0n(-1)kk!nkxk…

Q: To/t Integrate Ua ko To 3. Uz kg 2. eT-1

A:

Q: In ARST (not shown), mZR 45° and mZS 64°. Find m ZT. %3D

A: Given that, In triangle RST, m∠R=45∘ and m∠S=64∘ To find:

Q: A nermally distolated cndee erióbh with medn e has ė pabiblity dansty pabibiliy Ancty fnctin fris by

A: The normal distribution: A continuous random variable X is said to follow normal distribution if the…

Q: dy 3. Find dæ if y = In (aVæ +1).

A: Given,            y=lnx3x+1

Q: In AABC andAXYZ, AB = AC = XY, BC =Y Z and mZZ = 90. Prove: mZX > mZA %3D

A: We have given two triangles , ∆ABC,∆XYZ and AB=AC=XY and ∠Z=90∘ . and BC=YZ We have to prove that…

Q: 4.2 ezt So 2(z – ni)3d%, with C : |z – 3i| = 1.

A:

Q: 1. Evaluate ff. y dS where S is the portion of the cylinder 4x2 + 2y2 = 16 that lies between z = 0…

A: Since you have asked for a question with multiple sub-parts, we will solve the first question for…

Q: +3 fn d the deivotive of this funckio slape of the tonpent On d the line ot (4,1).

A:

Q: EXAMPLE 4: WY = In AWXY: WX = 9 m, XY = 15 m, and n ZW =31° m2X = mZY =

A:

Q: HiW f(x, y) = x +2xy+y² +3x+5y ils Is.5 of (2,-3) (2,-3) al of

A: The detailed solution is as follows below:

Q: Eva 6 SSin'z osx dy

A: ∫undu=un+1n+1.     cos2x+sin2x = 1

Q: S 1.Prove that L (coswt) = %3D s2+w2

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Q: 6. If KM = 52 and NL = 33, find LM. %3D %3D K L. J N: M

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Q: Let BE Cnxn. If z" Bz = 0 for all z E C, then show that B = 0.

A: Given expression is

Q: Evaluate Sm e" dæ. • 2 does not exist (diverges)

A:

Q: 1. If x, y, z E R, prove that (a) \x+y\ < \x| + \yl- (b) |x– y| < |x – z|+|z– y|, and (c) ||지| -…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: 3ey , find Given z = dz dz au

A:

Q: 13- dy + 2xy = y diferansiyel denkleminin genel çözümü aşağıdakilerden hangisidir? -x* +c1 y = e a)…

A:

Q: Fand the anti daniahir of fw. e+e- 2Cosed px -

A:

Q: Use Green's Theorem to evaluate >[2²y² dz + (yz²³ + y²) dy where Cis shown below. 90 O-384 O-48…

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Q: △-マ= △Y AV MS A(4全)+) 山natn- fnbun %3D an)

A: Property a: ∆-∇=∆∇ Note that, ∇fx=fx-fx-h∆fx=fx+h-fx

Q: -64- Eke n Calcul afe th udlue of Z.Z ?

A: according to company rule we answer only first question and rest can be reposted.

Q: dy dx If y=e+19 then O 19e+19 O 4er+19 O 57er+19 O 3er+19 2er+19

A: Please see the answer in Step 2

Q: Je find The general Solutivn od DiE+

A: The detailed solution is as follows below:

Q: In GL(2, Z,,). det

A:

Q: E valvate cox³ (x²+3)dx 2.

A:

Q: Find T, N, B, K and t for r(t) = ti +÷e2'j when t = In 2. 2

A: answer is in next step

Q: B. Prove by direct proof general. P: Vn e ZE, (n – 1) (n+ 1) e Z,

A: I have solved B; you just need to expand (n-1)(n+1) and then use the fact that square is always…

Q: Prove that S, pm (x)Pn(x)dx = 0 if m# n ? %3D

A:

Q: If f(x,y,z)=z In(x²ycosz), then fz is O 2z X OZ y O2z y O In(x²ycosz) - ztanz <|N

A: This question is related to partial differentiation, We will solve it using given information.

Q: Evaluate xy dS. S: z = 3 – x – y, first octant

A: Given query is to find the double integral in first octane.

Q: Evculucte the ntegre ree)dt where re =secttleH, tine TNt C 2

A: The given function is