Q3/ Find the IVP for the differential equation X y' - 3xy'+ 68y=o, that satisfies the initial conelitions yu=o& yli)a ?

Q: • Determine and draw the graph of the following equation in R3 : x2 + 212 + 2 8x + 12y – 2z + 35 = 0…

A: This is a problem of multi variable calculus, 3D geometry.

Q: 4. Find the solution of the system of linear equation a) By Matrix Inversion b) By Cramer's Rule 2x…

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Q: 3. Determine whether the following series converge or diverge. 4+cos? n (3n–\n) Σ +00 (5-4(ln n)³)"…

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Q: Q3) Evaluate triple integral f S dz dx dy.

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Q: The task is to determine and sketch the domain of the function In (b – a? + 4) g(a,b) = V36 – 4a? –…

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Q: 2. Use integration by parts to evaluate the following. (a) Sx tan-1 x dx

A: Given integral is ∫xtan-1 x dx

Q: The steepest descent method is a first order derivative iterative optimization algorithm. True False

A: Solutions

Q: Q/ Find the general Solution of the diff. equ-

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Q: п(т — 2)" 3" (2n – 1)3* Consider the power series 1. Show that the power series converges when æ =…

A: Radius of converges and interval of converges for the power.

Q: PLEASE ANSWER NUMBER 3 MATH 221 : PLEASE GIVE DETAILED SOLUTIONS AND CORRECT ANSWERS. I WILL REPORT…

A: Solution 3: Given system of linear equation is 2x1-x2+0x3=2x1-3x2+x3=-2-x1+x2-3x3=-6 with initial…

Q: Let (V, (,)) be an inner product space and let v, w be vectors in V. If (v, w) = 7 and ||w|| = 5,…

A: The solution is given below. Hope this helps.

Q: Question 1 Let y be the solution of the Bernoulli differential equation dy = y' +x*, x>0, y >0, y(1)…

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Q: Suppose that T is a linear transformation such that (E) (E) [5), Т [5), Т = (-7). Write T as a…

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Q: (aij) is the matrix of the quadratic form 2x + 3x, + 2x – 8x1x2 + 14x1x3 – 18x2x3, then the value of…

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Q: dy dv S.S; as sin ny dedy Cii)

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Q: Let an ;in 2 1 In(2" +1)' Determine if the sequence {an}n=1 is convergent or divergent. Determine if…

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Q: Given: 1 fett= 구 -1 Obtam the Fruries Seriesi Ans feet- Gia (2n+)t a TT 2ntl Find; ab

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Q: Consid‎er a la‎mina t‎hat is in the fir‎st quad‎rant, ins‎ide the ci‎rcle whos‎e equ‎ation is x2 +…

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Q: Determine whether the alternating series £ (-1)n+1, n3 converges or diverges. n= 1

A: Given alternating series is  ∑n=1∞-1n+13nn3

Q: Question 2, Let x(t) be a differentiable function defined on (-1,00) satisfying the following…

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Q: Evaluate the Inverse Laplace Transform 1 F(S)=T51)(s+1)² (s-1) (s+1)²

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Q: 1. The velocity of a rocket is given by v(t)= 2000 ln 14x10 14x10 – 2100t -9.8t,0sts30 where v is…

A: Given vt=2000ln14×10414×104-2100t-9.8t , 0≤t≤30 and t=16, ∆t=2 and True value = 29.674

Q: Find the particular solution of

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Q: The shaded area of figure is best described by U B O (AUB)'u (ANB) O B' O (AUB) N (ANB) O ANB' None…

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Q: 2. Use the met hod of undet er mined coefficients to solve t he syst em x' = Ax+f, where b. A = f(t)…

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Q: Convert dzdydx Into an integral of spherical coordinates (6coso p²sinodpdøde psinødpdøde Option 1…

A: We can solve this using spherical coordinates x = p sin(phi) cos(θ) y = p sin(phi) sin(θ) z= pcosϕ

Q: Let T: P2 – P2 be defined by T(p(x)) = p(5x + 3) and let B = {1, x, x²}. b c] а If [T]B = |d e f,…

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Q: 2. А %3D [0.7 0.1 Lo.1 0.7

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Q: c2-x Q1) Evaluate the integral f. S. ** dy dx using polar coordinate

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Q: A couple needs $50,000 as a down payment for a home. If they invest the $35,000 they have at 4%…

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Q: Determine whether the following series is conve rgent or divergent. (1.) (use Integral Test.) (2.)…

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Q: Which of the following vectors are not linearly independent? Non of these

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Q: 3- Vn n=1

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Q: 2 3 1 , V2 = 1 1 Let V1 = , V3 1 > V4 1 -1 [o] 9. t For what value of t is the set {v1, V2, V3, V4}…

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Q: QI) Evaluate the integral dy dx using polar coordinate

A: The solution is given below. Hope this helps.

Q: Use the 3rd degree Maclaurin polynomial for g(x) = r cos Write your answer in decimal form. to…

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Q: 3. Find the volume of solid of revolution (in cubic units) when the area of the region bounded by y…

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Q: Q3/ Evaluate Sz Vsinx dx, using i- Trapezoidal rule ii- Simpson's 3/8 rule Ans. 1.1615

A: 3 Given integral is ∫0π2sinxdx. i We have to evaluate the given integral by using trapezoidal rule.…

Q: [1 1] a Let A 2 1. Find a QR-factorization of A. If R = then the 1 3. value of a is , the value of b…

A: We can solve this using given information

Q: Find the distance between the skew lines: I = 9+9t, y = 2+5t, z = 3-7t x=6-t, y = 9, z = 6+6t NOTE:…

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Q: Determine whether the following series is convergent or divergent 3- Vn ( a) Σ Vn3 n=1

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Q: Determine whether the following series is convergent or divergent 3- Vn (a) Vn3 n=1

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Q: +00 4+ cos² n 1. 3n – Vn n=1

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Q.2 An alternating current sfter passing through a rectifier has the form f(x) = losinx , OsxST = 0…

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Q: 9. Find all the solutions of 3x² + 2x + 1 8 (mod 63).

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Q: Given the series: k 6 8. 11 k=0 does this series converge or diverge? converges O diverges If the…

A: Given series is ∑k=0∞8·611k

Q: Consider the linear transformation T : M22 P2 given by a T(" D= = (a + 26 + c+ d) + (a + 26 + c+ d)æ…

A: Let us considre the linear transformation T:V→W Kernel of T is obtained as Ker(T)=v∈V|T(V)=0 Range…

Q: Q5) Find volume of body bounded by z =x-y from below and z = x + y from Above inside y = x²,y = 2.

A: Volume bounded by the region

Q: What is the volume generated by revolving about the x axis the area bounded by the y = 2x +1, y = 0,…

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Q: Q5) Find volume of body bounded by z =x-y from below and z = x +y from Above inside y = x²,y = 2.

A: Volume bounded by the region