If a certain BE has a solution of yles -zdx = f=es-æd dx +C, which of the following BE !3! below is the correct representation of the given solution?

Q: Let S, := (1 - (-1)"/n :n e N). Find inf S, and sup S,.

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Q: 5. If y = ax"+1,n # -2, then which of the following is equal to ſ ydx? %3D axn+1 А. + C n+1 С. axn+1…

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Q: The largest interval for which the IVP : (In(e - e?)) y + y = 1, y(5) = 0 has a unique solution is O…

A: We have to find largest interval for unique solution

Q: Given y, = Bo + Bıyt-1+ E; and ɛ, i.i.d. N(0, o²), compute: (a) E(y;). (Ъ) Var(y;).

A: Given information: In the given model the current period is predicted on the basis of its preceding…

Q: By applying the Convolution Theorem to calculate L-1G B, withn e Z*, a suitable expression for this…

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Q: If I, = S e cos" xdx, where n > 2, prove that In 1+n(n-1)In-2 n² +1

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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: The solution of the IvP Elb+2)jl&+2)y=t", yL3)=o exists in the interval O 6, 00). noncof the giren…

A: given differential equation is t(t+2)y'+(t+2)y=t2,y(-3)=0

Q: Let W = E R? : ry > 0

A: In this question, we have given set of vectors, we prove  (a) W is closed under multiplication but…

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: (b) Show by direct computation that D'Alembert's formula is a solution to the problem U-cUrx 0,…

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Q: Find the general solution of the given variable separable egm atim. dy *+ ay? (2) %3D

A: Given :dydx=e3x2+4y2

Q: 1. IF4=rzi-2y'?'j+xy's ,find ding at points (1.-1.1).

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Q: dy ({})y+3

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Q: For A C Cmxn, n=dim(R(A))+dim(N(A)).

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Q: Please answer in pen

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Q: Find the gene ral solution of the following DES: e + ye"+ ( e + x") y'= 0 メy

A: Given:   ex  + yexy + (ey + xexy ) y' = 0 ex  + yexy + (ey + xexy ) dy/dx = 0 ......... (1)  As  y'…

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: Solve the following aw dw aw. Q1) w(x,y, z) = xy²z³ + esin(x*y²z) + x² – y³ + z – 7 find ( дх ду az

A: Here x,y and z are independent variables and w is the dependent variable that depends on x,y and z

Q: then Suppose A= G ) and B= ( ) and A is similar to B= M 'AM where M- as O a o, -0 Oba, -1 Oca, -3…

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Q: When A is arbitrary, we have U 4R c (UA)", N 4s cn An.

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Q: If z = -4xe³xy and x = √t, y = . Then, the value of dat t = 8 is equal to 3√2 (-1/2² + 2³/1) e + ² 4

A: This question can be solved using the concept of derivatives.

Q: 4. If n = 8, and P( - ks < x, < i+ ks) = 0.80, then the value of k is given by %3D %3D

A: here use t- distribution

Q: Suppose that, the R2 is higher for model 2 but the adjusted R2 is lower for model 2. Which one of…

A: The correct option is  The coefficient estimate α3 is non zero but not significant.

Q: Determine the form of a particular solution (u, ) of the given DE u"- Su' =t' +5 + 2e". o4, =t(At'…

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Q: The largest interval for which the IVP : (In(e* – e²)) y' + y = 1, y(5) = 0 х —6 has a unique…

A: We need to find the largest interval for which the given IVP has the unique solution.

Q: Given that y,= e is a solution to the second order ODE y"-y' -4r'y=0, then the %3D second solution…

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Q: /et A 3 8 カー (-45 Show That LA+B S ZA+B) 3-5 = At B

A: Transpose of a Matrix is defined as “A Matrix which is formed by turning all the rows of a given…

Q: If e'z = /3 -i.Then Im (z) is %3D O a. e2 b. 0 С. 1 d. -In(2)

A: eiz=3-i Now let z=x+iy. Then, ⇒eix+iy=3-i⇒eix+i2y=3-i⇒eix-y=3-i…

Q: Find speed and acceleration at a point (C,D), if distance of a particle is given by S = 2t^3− 3t^2…

A: The acceleration of an object is the rate of change of its velocity. The velocity of an object is…

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

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Q: Show thet the fens- 14 ベ+ ナ (A+1)(2p+1) (P+1) (241)(38+) (uluse convedges if 8a and divesgus if Bsd…

A: We will use the following results to solve the given problem : Result 1 : ( Ratio Test )  Suppose…

Q: 1. Is the following always true? If yes, clearly explain why. If no, give a specific counterexample…

A: Note: AS per our guideline we are supposed to answer only one question. Kindly repost the other…

Q: N is the centroid of triangle HIJ. If KN=9, IM=15 and LN=5. Find KJ K. N/

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Q: 8. If A MNO APQR, which of the following is not true? A. ZN 2Q B. MN PQ C. NO PR D. 20 ZR 9. Find…

A: Please refer to the image below As per policy only first number question is answered.

Q: The diagonals of square LMNP intersect at K. Given that LK=1, find KN.: P %3D

A: Diagonal of square bisect each other

Q: why. . If C is 6 × 6 and the equation Cx = v is consistent for every v in R', is it possible that…

A: As you asked to do only question number 18 of the page 2.3 , I do that for you.     Let us do…

Q: Find the gene ral solution of the following DESI XY +y² - x? y' = o %3D

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Q: * السؤال The largest interval for which the IVP: (In(e* – e²)) y' + y = 1, y(5) = 0 has a unique…

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Q: (3) Let A be m x n (not need to be square). What is the sum of the diagonal elements of ATA in terms…

A: (3) Given that Abe m×n matrix (not need to be square matrix). We have determine the sum of the…

Q: 7. If B is between A and C, and AC = 5y + 9, AB = 18, and BC = 2y. Find the value of y. Draw a…

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Q: If A = ze?xVi VxA at the point (2,0,3) is + 2xycosy j+ (x + 2y) k then the valueof

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

Q: (c) If A E M,(R) is non singular and n 2 2, prove that det(adjA) = (det A)"- (d) If A E M,(R)…

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

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Q: 1),Given: AB || CD; AC 1CD Find: x and y A, ax ay by 4,

A: Here given as Given  CD||AB Also given ∠ACD=90Then∠CAB=909x=90⇒x=10

Q: Find u(x, t) which solves the problem Utt = 9urr -00 < x < o0, - 0 <t <3; 1 u(x, 0) = 1+ x2 Ut(x, 0)…

A: D'Alembert Solution;    u(x,t)=ux,t=12f(x+ct)+f(x-ct)+12c∫x-ctx+ctg(ξ)dξ where u(x,0)=f(x),…

Q: az 4) Find when r = 2 and s = = 0, if: %3D as z = xy2 - x- y y = ers 1+s

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Q: The set of all solutions to y" = 5x + e** is given by 1 a) OC,x + 16 e* + C2 4x b) O 5x + e** + C1x…

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Q: 17- (* +)dz + 2rydy -0 diferansiyel denklemi homojen olduğuna göre k değeri aşağıdakilerden…

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Q: If A, = 1x | x = kn, k E Z}, find (a) A2n A5; (b) U An, for n e N. n=1

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