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Q: th Use the ri"-term test to find wether the fottowing Sexies exe divergent or not- n+2

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Q: sn'x プェ Sec'x-1 from [o, of 2.

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Q: Sin (n+))x Conv. unif nナノ on Prablem (5) Is the senies

A: The given series is: ∑n=1∞sinn+1xn+1 The given interval is: 0,π

Q: 3 Using appropriate substitutions evaluate V9 – x² dx

A: To find : Evaluate the integral given in the question.

Q: Q Find the deriva tive using the de fini tion (x)

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Q: Compute the discriminant D(x, y) of the function. S(x, y) = x' + y* - 6x – 2y² + 1 (Express numbers…

A: Given function f(x,y)=x3+y4-6x-2y2+1

Q: 5. Use geometry to evaluate (V4- x² dx 2 O 2n O 4t

A: Solution:

Q: Jse de Moivre's Theorer

A: To prove that            sin3θcos3θ=3sin2θ-sin6θ32

Q: eiw Фx (») %3D 1+ 4w? 11) Prove that the mean of X= 1.

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

Q: Evaluate the improper intergal 1 dxusing the residue theorem. (x² + 16)? -00

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Q: 2² + e4 z lim z 0 22 – e²

A: This is a form of infinity by infinity so we have to apply Lhospital rule that is differentiate both…

Q: We consider the integral Evaluate the approximative value of T by Trapeze method then Simpson's…

A: Solution:Given   T=∫141xdxEvaluate the approximate value of T:1. Trapeze Method2. Simpson's…

Q: Jósec? 30/3+2 tan 30d0 8.

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Q: How does Taylor’s formula for a function ƒ(x, y) generate polyno-mial approximations and error…

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Q: aps odrbes show that uyx = 1+ - and that var(Y|x) does not exist. on 1

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Q: Example 8.27. Using trapezoidal rule, evaluate I = 1²₁² dxdy, taking four sub-intervals. r+ v

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Q: Q. Use first principle rule and proue that secn tene if y = secx %3D

A: Note  your Question is wrong because right Question is  y=sec(x) then y' = sec(x)tan(x)

Q: ex Let frx) = cos x - frx)3Dcosx %- O constract hout X-0 ? the 3rat a Taylor poly Par fx) CA

A: The Taylor's series expansion for a function can be obtained using the formula…

Q: Q.5 Use both trapezoidal and Simpson's Rule to evaluate |(² +1)° dxby taking n=4.

A: We have to find integral of given function by using Trapezoidal Rule and Simpson's Rule.

Q: The evaluation of S V1 + tan2x dx is C In(V2) +1 In(vZ+1) C In(vZ-1) O-In(vZ+1)

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Q: b2-a? Sx dx = by evaluating the Riemann Sum. %3D 2.

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Q: cancer u alcurate 5th on diagnostic test is 9s 2 those who halse A 'cancer cnd on those wno do not

A: Given that, As the test is 95% accurate for both who have cancer and who don’t, therefore the…

Q: AXYZ is isosceles with base YZ. If meX = 57°, what is mzY? Show work!

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Q: az Find for z = x²y°e®Y dx

A: The given function z is zx,y=x2y2exy We have to find the partial derivative of z with respect to x.

Q: The value of c of fo-2- in the iterval .D such that rio--E) OA 3 OB. -3 OC 3 O0. 3-

A: c = 3explanation is given in below step

Q: Find length of the cardioid r=a0³from 0 = 0 to 0 = n %3D

A: Length of the cadioid is given by below formulaLength = ∫0πaθ3dθ

Q: V2 Find the ual. af the s-lid romes from rot sing the failion Shoun in Fig- about XAxis withini the…

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Q: State the two conditions required for performing a paired t-procedure. How important are those…

A: From the question,Paired t-procedure is the dependent sample t-test, is used to estimate whether the…

Q: 2: find fr, fy, and fz.

A: Given fx,y,z=e-xyz to find fx differentiate with respect to x fx=e-xyzyz

Q: -3 Vennty that A 3. 2. Varities Caley tHownilton theorem

A: We have to solve given problem:

Q: Find the indico 6. 2. 3+ 2 1..2+4+8+ 27 t. 4. 3. 12, (4)"- n= %3D1 2.

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

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Q: Ôz Ôz If Z= tan"'(2) -= 0 show that : *-+ y ôx ôy

A: Let us consider function z=f(x,y) Where f is function of x,y. ∂z∂x represents partial derivative of…

Q: using Trgananetre Represent the Fonrier Selies 1 fex) ○くxく1 -1 -1 (x 40

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Q: In the second order linear ODE with constant coefficients ау +by'+с%3D0 the coefficient a should be…

A: Now we will solve the problem.

Q: B/let Flx)=[X]-X,x E(-2,2).which valuesof x o E(X) continuaus?

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Q: 6. Find the fized point of flx) [-,1] where', on fa = (동) x-(올)x3

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Q: 7. Use appropriate formula of geometry to evaluate the followings. L(lx – 3| + V36 – x²)dx b. L(2x +…

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Q: 1. y(IV) – y = 0 1 y(IV).

A: The solution is given as

Q: docs google.com 10- [P+1(7) – P1(z)] dz = 1 forn = 0 0. %3D O 1,u 2n + 1 O 2,i 3 20-*

A: Introduction: The Legendre polynomial function is the solution of the differential equation…

Q: Q1. Consider the two different losses: (i) zero/one loss where Ai dij = 1 and (ii) generic loss…

A: Given Consider the two different losses: (i) zero/one loss where A₁ = 0 and Aj = 1 and (ii) generic…

Q: mith Exe:- Jk +3 - tyk+Z +ZYkxi +36Yx =1+2

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Q: 13 By use of De Moivre's Theorem, evaluate (-+i) .

A: We have to evaluate -12+32i13 by using De Mover's Theorem.

Q: 3. Gien that F cxy) = s Can servative find putantial -> functin fo Ě a

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Q: The diffakential equotion af Sc sinx after eleminating of the ar bitrary constant eis

A: The order of the differential equation is equal to the number of arbitrary constants. the given…

Q: S Integrate the falloing funclinne the given kesinms aver R: y=4x-x and y =X

A: Area

Q: Qし If xと -l Sx S2 fa)= { 5-x fo) = 2< x S3 - Is fox) Condinuons at x =2 2 and sketch this funclion

A: Hello, Thank you for the question. According to our honor code can answer only one question at a…

Q: @ Hiw/ prove that cosiz=coshz @ Cosh'z @ 1- Tanhz - Sechz

A: As per Bartleby's expert answering policy, we can answer only one question with a maximum of three…