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Q: In the Taylor Señes fGx centered at im-3 Coreffi cient of Ixt3) What is the

A: Given: f(x) = (1/x) centered at a = -3 To find: Coefficient of (x + 3)3   Taylor Series of a…

Q: OLet @ = (0,1)n Q = {x€ @104 x<1}. Prove that %3D 2) 2000m

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Q: Evaluate the integral (2 + 6) (2? + 6z + 2)*dz by making the substitution u = x² + 6x + 2. + C

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Q: 3. Evaluate the integral x³ - 2x? – 4 dr x³ – 2x? |

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Q: In ALMN, LN is extended through point N to point O, (x – 4)°, mZMNO = (4x – 17)°, and mZNLM = - -…

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Q: using the false - position to doter mine the voot of the eqution fcx) = 0-7 x5- 8X* +44 x-90 x+82 X…

A: Suppose the root of the function f(x) lies in the interval xl,xu. To obtain the solution of the…

Q: Using the Convolution Theorem, what is L[h(t)]?

A: In this question, we use the convolution theorem to find the Laplace transform of the given function…

Q: Evaluate the integral. 3 9earctan(y) dy 3 1+ y? 3

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Q: Evaluate the double integral: 4 LA LE 2ydydx

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Q: If n: R → R is the projection onto the first factor, what is n (3.2, e?)? I believe the answer is…

A: If π1:R→R is the projection onto the first factor, then π1x, y=x, ∀x, y∈R.

Q: The value of the triple integral 0. 0. is

A: Evaluate:

Q: Q2/Find the value of the integral fx by using simpson method (n = 6)?

A: This is a problem related to integration using numerical method. Based on the general formula of…

Q: Evaluate: x2dz using trapezoidal method with n = 10. Round off to 6 decimal places.

A: To evaluate using the trapezoidal rule with n=10.

Q: The cube root of 27 is 3. How much larger is the cube root of 27.8? Estimate using the Linear…

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Q: Graph the integrand and use geometry to evaluate the integral. 6 2) s V36 - x2 dx -6

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Q: evaluate using the appropriate method or combination of methods.

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Q: Suppose we have the following two bases for R²:

A: Given, the two bases for ℝ2:           B=10, 11 D=01, 23and          v→=4-1

Q: Prove that P(X = n) = 1. 00 %3D

A: Given that  We have to proof that  ∑nP(X=n) =1

Q: The equatich AX =0 has the Solution if and aly if variable. nontrivia I A has à free

A: To find whether the given statement is true of false. Given Statement is  The equation AX=0 has the…

Q: The lengtns of Atlantic croaker fish ace normally diIstributed, with a meen of 10 Inches Cnd a…

A: Solution Let X be length of fish X~ N((μ=10, σ=2) We need to find the probability that length of…

Q: use the gaussian quadrature formuld to estimate it cund onilt foddxit, where fad =x+2

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Q: Evaluate the definite integral. '1 3 + 7t³j+ Vik) dt /-1

A: Consider the given definite integral

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: nd 4 and using L'Hôpttal's Rule.

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Q: 1f itwas x25ect, yatunt prove Thut dy

A: Simple derivative

Q: 2. Estimate V50 using tools from calculus.

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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 of the inflection neacity point of ) where is 814 Also explain it gomdhically cometicall

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Q: %3D By using the substitution x =", show that In 2 0.68. Give a reason as to why the approximation…

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Q: 16. Find he exact soution on The interval [0,2m] 25in?x ャ Bsinx +3= 0 5sinx t

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Q: use method of false position. to Selution acccurate to- within lo -3x°=0 for osxsI and 3€x<

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Q: in de pndent Variables り if メ,Y,2 and z function which achieves the eguation ャ+3x/2=5 Pind a2 in , Y

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

Q: Please see the attached problem. Thanks!

A: Given:

Q: 19. Given that 20t8=3and that ö n .... auto sece t wsece Sın`9 tos g

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Q: Before burning out, a light bulb gives X hours of light,where X is N(500, 400). If we have 3 bulbs,…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: Exercise 7.13. Suppose in G.

A: A subgroup of a group G that satisfies the similarity transformation with any fixed arbitrary…

Q: In this quest You should perform 7. (a) On the (b) and th Assum that T (c) Using and b) (d) Archim…

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Q: 0 Given Sukiject to: find the vaplue x that wiU Minimine

A: Express z as in terms of x using constrain then use derivative to find x for minimising z.

Q: on the interval 0sxs 2. Note: Water weighs 62.4 Ib/ft3. 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 -2 -1.5 -1…

A: Given y=15x2

Q: 4 | (8t3 – 6t -2) dt (8t³ 1

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Q: Q. By e/2silon definition, check the con vergenie of Suquenies 2n+ フ the following く Sn> = ( =…

A: Find the attachment

Q: Oprove Heed A A lnda = 2 - - where feass integmle even funchen

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Q: Use the Midpoint rule to deterine the Intergral for the error Function (erf)(belou) 4caurete to…

A: ∫01e-x2dx here we can take 4 interpolation point so n=4 so h = (1-0)/4 = 0.25 x0=0 x1=0.25 x2=0.5…

Q: Use the False Position method to find an approximation to the value of v7 that is accurate up to…

A: False position method formula x2=x0-f(x0)⋅ x1-x0 f(x1)-f(x0)

Q: di V = -L dt

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

A: Area

Q: Use symmetry to evaluate the following integral  (x^3+2x^7)/(x^6+4)  [-3,3

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Q: The sum of Hthe first S=3n²+4a fFinal+he li mit an is nlmits ofar plogression an arthmctic

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