16-17. Find the value of n that makes AFED~ AZYX when DE = 4, EF = 5, XY = 4(n + 1), YZ = 7n – 1, and ZE = LY.

Q: The Euler method for approximating a solution to the first order IVP: y' = 3x + 5y, y(1) = 7 with h…

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

Q: Evaluate S, 5y²dV where E is the reqion below x + 3y + 6z = 9 in the first octant.

A: we need to evaluate the integration over the region using the triple integral. First we will find…

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Q: 8 20 Vx 4 dx Evaluate - 3. 5 - 16 x 4 – In(x) + 6 x 3 + C, Where C is the parameter 2 - 16 x 4…

A: The general formula for the integration will be used to solve this problem. Formula is, ∫xndx =…

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

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

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Q: The equation kk+4 – Yk = (4.71) has the characteristic equation pd – 1 = (r2 + 1)(r² – 1) = (r +…

A: To Determine :- The characteristics equation .

Q: Use Euler method to approximate the value of y(0.2), given ay' - by = kcos(cx) + mx , y(0) = 7 with…

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Q: find c, and c2 so that y(x) = c, sin x+ c2 cos x will satisfy the given conditions. Determine…

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Q: Use Euler method to approximate the value of y(0.2), given               ay' - by = kcos(cx) + mx…

A: Given that, ay'-by=kcoscx+mx,   y(0)=5∆x=0.025a=2, b=4, k=6, c=2 and m=7We need to find y0.2 using…

Q: For z > 0, 옮(1 In (t³ + 1) dt A) In (x³ + 1) B) In (8z³ + 1) c) 2 In (z³ + 1) 2 In (z² + 1) D) 2 In…

A: Solution: Consider the given that; ddx∫02xlnt3+1dt We have Leibnitz Rule: ddx∫a(x)b(x)f(x,t)dt =…

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

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Q: 8 15 Va 8 dx Evaluate 3 5 12 x 4 – In(x®)+12 x 3 + C, Where C is the parameter 5 - - 12 x 4 –…

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Q: T(2a), (z|a) = To2 (1 – x)]ª, a >0 А. Хn r.s. 2. r.s B. Xn N(H, o²), o² is known r.s. С. Хи Gamma(a,…

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Q: yn 44-0 urute down The C hacae Felistic equahm for each of Thefalloming

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Q: 21 Determine the form of a particular solution for the ODE y" + 4y= 3sin2t + te

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Q: 2(y³ – 2) + 3xy²y' = 0,y(3) = 1 %3D -

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Q: (2 (1=x)² F flxa ax² tbx?, determine a and OF b co that the grape of f will have a point of…

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Q: Ym - 21 , prove that + (n? m² ) yn =o 2 + (2n+1)x Ynts

A: Given y1/m+y-1/m=2x To prove that  x2-1yn+2+2n+1xyn+1+n2-m2yn=0 Solution :  y1/m+y-1/m=2x…

Q: S 1.Prove that L (coswt): %| s2 +w2

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Q: Evaluate S, 5y²dV where E is the reqion below x + 3y + 6z = 9 in E the first octant.

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Q: 2.16 If S = {x|0<x < 12}, M = {z |1<z<9}, and N = {x|0 <=< 5}, find (a) MUN; (b) MNN; (c) M'n N'.…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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Q: 3.Eliminate the arbitrary constant on the given equation: xsiny – x²y- C

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Q: 2. A firm produces two goods in pure ompetition &amp; has the pllowing TR &amp; TC functions R= 15Q…

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

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Q: 6. [ID # ending in 9] J3 w Find дх ду дz if w — exyz = 0.

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Q: Show that the following DE are Bernouli type and solve: 1. y’ – x = y 2. s’+ 2s/t = s 3 t 4

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Q: 8. If JM = x + 17 and MK = 5x – 23, find JL. %3D H. 'K

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first…

Q: We use the same notations for the interval E = [-1,1]. Show that 1 Mn+1 n+ 1 S 2n-1 M₁ 2n-1 Deduce…

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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: 5. (a) Solve the cauchy problem given by x²ux + xyuy + xu = Xx-y where (x, y) + (0,0) if u(x, xln x)…

A: Given x2ux+xyuy+xu=x-y where x,y≠0,0 if ux,xlnx=-lnx, x&gt;0

Q: 2.4.10 Show that det(e4) = etr(A) for all A E Mn(C). D %3D

A: The given problem is to show the given identity. To show: det(eA)=etr(A) for all A belongs to Mn(C).

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: дz дz ду ах of z = x3 + 5x2 y + 6 Find 5. Givenz = " у -4x 6. Find oi, of z = In(xy) 7.Find Әхду "

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Q: 25-30 Find dz/ax and dz/ay. 25. z = 4e+3y

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Q: 1. Given that X1 = 1 X4 =-2 Xs = 4 X6 =-1 X7 = 5 X2 = 3 X3 =0 Xg = 2 X9 = 10 %3D Γind (a) E X;, (b)…

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

Q: of operathónS. ion using the variable replacements. 2. a'+2b (if a = 4 and b= 5) a=4 b=5

A: Given a = 4 ane b is= 5

Q: Evaluate , 5y²dV where E is the reqion below x + 3y + 6z = 9 in the first octant. dxdydz dxdzdy…

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Q: 1- If we use MUC to find y, of y"-5y'+4y 4xe +2e* +2xcos3x. Then find the suitable form for y,.

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

Q: 1 And the radios of Co for the pover Serie for the Power Serie vergence 00 xh (2"+1) (n?+1)

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Q: Let c, = M and Cn = 2cn-1 - 1 for Vn eZ+ - {1}, find the explicit formula for the nth term for n…

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Q: 2. Give the condition which ensure that |ez| < 1 where z in C.

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Q: 2 I| ysin(xy)dydx Н.W.

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Q: 2/ Compute fc E.dr and Where F Gxry2=(3+ 12x²,3xy²2 is a line segment from Co,01 to (4,2) %D Fdr =

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Q: 7. Solve the following first-order linear DE's. y' + (cotx)y = xcscx, y = 1 8. Solve the following…

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