1 If y = itci e? and y(0) = -1 then 1+cq e¬* Select one: O a. 1+ c1 =-1 O b. C = -1 O c. 1+ C1 = 1 O d. 1-

Q: 4. Suppose mCG = 6x +5, mĀR = 4x + 15, and mLAEC = 120°. Find: a. х b. mCG Ci .by e nger с. тAR

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Q: Let X - N(H, o?). Show that the MGF of X is etu+o²

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Q: 5. Show that if x,y∈Z and 3|x^2+y^2 then          3|x or 3|y 6. Show that if c=sa+tb where c=(a,b),…

A: Please check that x=1,y=3, then x^2+y^2=10 does not divide by 3. So  must 3|x and 3|y instead of 3|x…

Q: Let n e N, s > 0, a > 1. Show that n! 1"e" dr sn+1 Inz dr 1 (a – 1)2

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Q: 46. Let the assumed particular solution for the given DE be y, = (Ar³ + Bx² + Cx)e* + E. What is the…

A: A detailed solution is given below.

Q: Fined Ha tormperature in allarallyinuhted bar f longth (L) whose enels is are Keptat hemperature 0,…

A: Using separation of variables

Q: Evaluate e2z for z Ti. 1+i 1

A: In the given problem we have to evaluate…

Q: In GL(2, Z,3), det 4. O 35 11

A: Third option is correct.

Q: 17. AABC - AXYZ (not shown). If AB = 5, BC = 8, XY = y, and YZ= 2y – 3, find y. 17. y = P Type here…

A: We have to find y from the given information

Q: 10, elseunére Y,= amonnt ok pollutant Per Sample collected a bove the Stack WHhout the cleaning devC…

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Q: If f(z, y) – e . In(9y) , then fz is given by: O - 9e In(9y) o - 27 e In(9y) O 9 e In(9y) O 27 e…

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Q: 2 If In(ax)dx = 3, then a = %3D %3D 1 4 4 e4 4 ез 4 O None

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Q: S cscycoty 1+cacy dy Select one: OA. - In (1+ csc y) + C OB. In (1+ csc y) + C OC. In² (1+ csc y) +…

A: Given problem:-

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: 10) If 1+ abt = c where a, b, and c are positive, determine the value of t. %3D

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Q: Let X - N(H, o). Show that the MGF of X is etu+to²

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Q: Qa. If Fes) = T , fined fcts %3D -2)-५) -৪)

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Q: Suppose RV X has the following PMF: p(0)=0.2, p(1)=0.5, p(2)=0.3. Find E[X], E[X^2], E[X]^2.

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Q: 2 If [ In(ax)dx = 4, then a = 1 es 4 O None eo 4 e4 4 4

A: Basics of Integration are used.

Q: O let X be fe VrV Finel ECX) ael E(x)

A: Note: As per guidelines we can answer only one question at a time. I request you to please repost…

Q: 2. Estimate the value of V22. + • V22 is between and but closer to Decimal estimate: 22-

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Q: 1- (In x)² If u = In x, then dx=? e A) B В =-u)du .2 © [a | (1- u)du .2 (D (1 – u²)du

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Q: y' + y = y²

A: Given: Now,           y' +y=y2⇒dyy2-y=dtIntegrating both sides we get,⇒y=11-et+c1

Q: Assume that =y+In(x), and n=x, then u xX а. O a. 1 Ob. 1 1 с. O c. x² d. 1 Unn x 1 O e. x² е. 2 +Unn…

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Q: (10) If H < Z» × S, with |H| = 12, then H = %3D

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Q: 1, Y2, · · , Y9 and it is believed that Y; ~ N(u, 16). Find P(|Y – µl < 2). ...

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Q: 3. fualende Zdv, where, E- (nyE):0くn<l,o<y<1-n,oくまく1-1-

A: We have to evaluate the triple integral ∭E z dV where E is the region containing the set of points…

Q: M N * LN = MO SS SAS AAS AONL E AONM ALON E AMON ALNO S AMON

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Q: 5) Find NV ir ZN -- 20 7) Find DW if YW-4

A: Consider that the centroid divides the median in the ratio 2:1 (5) ZNNV=2120NV=21NV=202NV=10

Q: et X Xn XB(I,0) since X isthe mike for e then X(1-X)is the mil-e

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Q: 2 If [ In(ax)dx = 4, then a = 1 es 4 O None e6 4 e3 4

A: e^5 / 4

Q: Sppose a ie ance compay ss a20.0o0 e mie tompany e The rt e Comp nd e epet e epo tem

A: Suppose a life insurance company sells a $290,000 one year term life insurance policy to a 19 year…

Q: 2. Let P:C0, 1] → C|0, 1] be given by Pp = " – e°. Compute dP(y). Be sure to justify your…

A: We have Pφ=φ''-eφ We need to find dPφ If we have  y=fx⇒dydx=f'x⇒dy=f'x dx Similarly, we find dPφ for…

Q: ht mLE)<o. o show fon My f, gn-",g fon Jn Mg fog that O Is m(El <a∞ necessary?

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Q: 1-eat 1s a 1 1 b. а. s (s + a) (s + a )? 1 1 d. с. a (s + a) (s2 + a?)

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Q: 3) If X ~ N(5,2). Calculate P(200<Eº,x;<300) = ?. Draw a figure. '

A: Given : X~Nμ=5,σ2=2 Let, if X~N(μ,σ2), then ∑i=1nXi~N(nμ,nσ2) For n = 50…

Q: •1 Evaluate ſ, S, Saya xyzdzdydx S So Sirzava xyzdzdydx 2 0. Vx²+y²

A: 2) Evaluate ∫01∫01∫x2+y22xyzdzdydx

Q: 6. Evaluate 1 x² + y² + x² dV, where E = { (®,g, z) |1< n? +g? +z? <4}.

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Q: t least one of these components will need repair within 1 year nnonont anir within 1 uear

A: Given See the handwritten solution

Q: 4. Evaluat the fellowing using Simpson's ţ ruloi h =d *x?dx;Ans.c(8.667) B-SとJx iAns. (8、み59)。 A-」

A: By using Simpson's 1/3 rd we have to find solution of given integrals.

Q: al solution of - uy = 0 is O is *+c,e¯*)(c

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Q: 4. Find the temperature in a perfectly insulted bar with c=1, u,(0,t) =u,(T,t)=0 and u(x,0) = 3x

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Q: 0,0625 s? + 50 s + 1600 A IR(s) = s (s? + 200 s + 6400) olduğuna göre i,(t) akımının matematiksel…

A: perform the partial fraction decomposition of  0.0625s2+50s+1600ss2+200s+6400A…

Q: H.W. Re-Solue the above example oith 4 following FCS) = %3D Ses?+S+5)

A: Given function is, Fs=4ss2+s+5 Taking the roots of the denominator, s2+s+5=0s=-0.5+2.2i, -0.5-2.2i…

Q: 1- In x)² If u=In x, then dx=? L'a-wdu A B

A: From the given integral: I=∫ee21-lnx2xdx   ...1

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: e? If u= In x, then 1- (In x)2 dx=?

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Q: In(rºs² Vr*s° is equal to A lnr + Bln s where A = and where B

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Q: In Euler's method, wr = y(tx) for k=1, · .., n. Select one: O True O False

A: if you find my answer helpful please put thumbs up. thank you. the required solution is given below…

Q: Im e Z, Vn E Z,m = n + 5 Vn E Z, 3 X C N, \X| = n

A: on solving these statements with the help of an example we will get