Find the series' interval of convergence and, within this interval, the surm of the series as a function of x. 00 (x-3)2n Σ 4h n=0 The interval of convergence is| (x-3)2n !! 4h n=0

Q: A ladder, inclined at 60 with the horizontal is leaning against a vertical wall. The foot of the…

A: Given that,A ladder, inclined at 60° with the horizontal is leaning against a vertical wall.The foot…

Q: Factorise x6+1

A: First consider x2=y. Then,  x6+1=x23+1=y3+1               ∵x2=y Use the algebraic identity…

Q: 8. Suppose X is a continuous random variable with -1 sXs1 and having valid probability density…

A:

Q: How many ways are there to distribute 7 different tasks to 7 different people if: i. No restrictions…

A:

Q: 2. What is the angle between the vectors 7 = (-1,0,1) and w (0,1,1)? 27 37n (A) 0 (B) (C) 4 (D) (E)…

A:

Q: alluse the gauss eteminationt to Pind the -t 19. -1 b9 -3 2 -2 63

A:

Q: Activity 1.5.4. Researchers at a major car company have found a function that relates gasoline…

A:

Q: Let S = {1,2,3, 4} and G = S4. Write all of the elements of GT and G(T) in each case. (a) T = {1}…

A:

Q: 6. Let F(x,y,z) = (x+y,–2y + z,8z – x) and let U be the sphere where x2 + y? + z2 with…

A:

Q: Answer the question using linear programming simplex method. A dietician has learned from a…

A: We will form Linear programming from given data and then solve it graphically using corner point…

Q: the following: Suppose a differential equation L[y) = 0 has characteristic equation (r-2)(r – 1)³…

A:

Q: S-니~2 1. Part A) write an integral expressing area under fCX) from X=0 to xX=4 Then use the…

A:

Q: 10. Swap the order of integration for Só Sà f(x,y)dydx.

A:

Q: 12) Solve each linear programming problem by the simplex method. (X1+ 3x2 0

A:

Q: 2. Consider the subset a b S = 0 1 c : a, b, c € Z3 3 C SL3(Z3). 0 0 1 (a) Show that S is a subgroup…

A: Given :  S = 1ab01c001 : a, b, c ∈ℤ3⊂ SL3ℤ3 To prove :  (a) S is a subgroup of SL3ℤ3.…

Q: Use RK 4 with h = 0.05 to approximate in four decimal places the value of y(1) by solving the…

A:

Q: 9. Find an equation for the plane containing the points (3,1, 4), (–1, –1,-1), and (0,2,2).

A:

Q: Insert three numbers between 5 and 80 so as to give five numbers in a geometric sequence.

A: Geometric sequence means ratio of two consecutive number is same.

Q: by using the Laplace tranaform Sol ve the following did/ y"+ 3y'-3y=t with ylo)=y%)-

A:

Q: solve the following differential equation. 9x +y-9 dx

A:

Q: 4. Let C be the piecewise smooth curve consisting of two pieces: the part of the circle x² + y² = 9…

A:

Q: 3. Which of the following polynomial function has degree = 3 and leading coefficient -6? a)…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Evaluate F. dr along each path. (Hint: If F is conservative, the integration may be easier on an…

A: Comparing the line integral ∫C 2x-5y+1dx+-5x-y+9dy with the integral ∫Mdx+Ndy, we have, M=2x-5y+1…

Q: (3) Find and classify the critical points of the function 6y? f(r, y) = 3y – ry + +2, I#0. %3D

A:

Q: The unpaid balance at the start of a 30-day billing cycle was Ss660.63. No purchases were made…

A: We have to find the unpaid balance at the end of the billing cycle by assume that the annual…

Q: a solid is obtained by rotating the region bounded by the curves x = 2j, y = -, and y = 4 about the…

A:

Q: Find 37 in 200

A:

Q: et +e- find the length of the curve h(x) = from r = 0 to z = In 2.

A: The standard formula for arclength will be used in solving this problem. The typeset solution is…

Q: Determine the vector field of F. F(x, y) = 4i – 2j

A: To determine the vector field F.

Q: (2) Consider the curve given parametrically by 1=1+2/2 cost, y = tant +2/2 sin t, for dy and show…

A: This is the application of derivatives.

Q: The orthonormal basis of the subspace spanned by the vectors is (Use a comma to separate vectors as…

A:

Q: QUESTION 15 Calculate the minimum value of 8x + 6y subject to the following constraints: x + y2 24 x…

A: To find- Calculate the minimum value of 8x + 6y subject to the following constraints: x + y ≥ 24x +…

Q: 5. Let U be the part of the hyperboloid x? + y? + 2 = 2z2 shown below that lies below the plane z =…

A:

Q: 3. Carry out the first three iterations of the solution of the following system of equations using…

A: Given: 4010125-110103-100104-210-105x1x2x3x4x5=321914-241 first three iteration of Gauss -seidel…

Q: For an interest rate of 6% p.a. Determine the effective interest rate if it is compounded monthly.

A:

Q: We will solve the differential equation: y'' - 0.75ty' + ty = 0 where y(0) = y'(0) = 4 using the…

A:

Q: -3 Find an eigenbasis and diagonalize. A = %3D -2 1

A:

Q: 4. Use the lazy c method to show that 1 1 n° log2 (n) + 3n° +n² log, (n) – 2n + e O(n° log,(n).

A:

Q: 1. If = (1,0,-3) and i= (6,-3, -4) compute ixw.

A:

Q: Use variation of parameters to solve the given nonhomogeneous system. dx 2х - у %3D dt dy 3x 2y + 8t…

A:

Q: b. Find the sum of the geometric series 12 n=0 8 If we were to sum the above series to infinity,…

A:

Q: Let a, b eR with a < b. Assume that a + <b - for all n E N. Show that b- = (a, b). %3D n n=1

A: We will show  two sets are equal.

Q: A prestigious hospital has acquired new equipment to be used in laser operations. It classifies its…

A: We have to find a number of major operations to maximize the revenues.

Q: WHAT IS THE LAPLACE TRANSFORM OF THIS? (e-4t - e-t)

A:

Q: Evaluate the following E jOO) i() ())]

A:

Q: SOLVE FOR THE LAPLACE TRANSFORM OF THE GIVEN EQUATION. 1.f(t) = te-3t cos² 2t

A: We are only allowed to solve one question at a time. Please post the remaining questions separately.

Q: 10. Teachers' Salaries in Connecticut The average teacher's salary in Connecticut (ranked first…

A:

Q: If A = (a, b) and B= (b, c), find: (i) (AUB) (ii) (AnB)' (ii) A'UB

A:

Q: Given: 2a + 5 b + 3c = 5 3a + b – 2c = 1 -a + 2b + c = 0 Solve the next 2 iterates of the…

A: The given equations are 2a+5b+3c=5 3a+b-2c=1 -a+2b+c=0 a. We will solve the system using Jacobi…

Q: и(-п-1)-(!)" и(-п u(-n u(-n

A: