Slhow that for n > 2, 1 n+1 2n k=2 Here, we write II=m ak to denote the product amam+1… an.

Q: 5. A line passes thru (3, 4) and cuts a right triangle with the coordinate axes in the second…

A: Sol

Q: Find the values of w, x, y and z in fraction form using (a)Gauss Elimination, (b)Gauss-Jordan…

A:

Q: 3. 2х, — х, = 2 3x, + x3 х; 3 — 2 -X, + x, - 3xz | ||

A:

Q: I REPEAT. TYPEWRITTEN ONLY ANSWERS DO NOT ANSWER IF YOU ALREADY ANSWERED THIS. DO THIS TYPEWRITTEN…

A: This is a problem of tracing areas and counting.

Q: Find the general solution of the given system. dx = X + y- z dt %3D dy бу dt dz = y - z dt

A: The solution is given as

Q: I. Use Gauss-Jordan elimination to transform the matrix in reduced row echelon form. 1 -3 -6 5 -21 2…

A:

Q: WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS: F(t) = for…

A: Fourier series expansion of the function

Q: Find Vector tangent and normal to at Doint Cl,)

A:

Q: - 3 - 2 Let y = u2 = Find the distance from y to the plane in R' spanned by u, and u2. - 6 u = - 5 1…

A:

Q: d?y 2y+y = x2e3x. 1. Solve by D operator method dx2 dy dx Solve by moth

A:

Q: An Jibble is produced on an assembly line consisting of six workstations. The total work content for…

A: Total time = 22 minutes Maximum time of workstation = 6.5 minutes Operating efficiency = 120% Cycle…

Q: sin x – e-* = 0, [0,1]

A:

Q: Show that {zn}nEN is Cauchy, where z, = sint dt. 1+t

A: Sol

Q: 8 Given the matrix G = -4 and do =| Then do and d, are G – conjugate if di is given by

A: Conjugacy:  Let G∈ℝn×n be a symmetric and positive definite matrix. We say that the vectors x,…

Q: Write the statement in words if: p: Firemen work hard. q: Firemen wear red suspenders 4) ~(q ⋁ p)

A:

Q: A triangle is inscribed in a parabola such that the first vertex (point A) is at the origin and the…

A: Given that,A triangle is inscribed in a parabola such that the first vertex (point A) is at the…

Q: 15 Identify and record the for intervals (interval notation) and points (ordered pairs -- x,y)…

A: Sol

Q: WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS : F(t) =…

A:

Q: EXAMPLE NO. 1 Reduce the quadratic form x2+y²-9xy into a canonical form of the matrix.

A: Converting quadratic form to symmetric matrix form.. Here, we have 2 variables in quadratic equation…

Q: y2 =1 is rotated about the x axis to form a solid shape. A cylindrical x2 7. The ellipse with the…

A: We will use disk method to find volume of solid formed by rotating the ellipse and then volume of…

Q: Using "Numerical Differentiation (Central Finite Difference)" Problem Solving f(x) = 4e-2x sin(x2)…

A: Sol

Q: Describe the graph of the equation. r = 16 cos ti + 7 sin tj – k O It is an ellipse in the x = -1…

A:

Q: 36 – x² – y² and S2 be the Let Si be the hemisphere with Cartesian equation z = 6 – upper nappe of…

A: The solution is below.

Q: 6. Use Laplace transforms to solve the initial value problem, 4t, 0<t<1 y' +2y = f(t), y(0) = 0,…

A:

Q: 1. y" + y = 0

A:

Q: 2.Use polar coordinate to evaluate 1 SS dA where Ris the region bounded 2 1+ x + y R by circles each…

A: Double integration by using polar coordinates

Q: Consider the IVP: x" + 3x' +2x = 4t2; x(0) = 0, x'(0) = 0. Find the general solution. 4 6. 7 + s+1 8…

A:

Q: 4) Find the eigenvalues and eigenvectors of the given matrix A = =

A: We have given a matrix , A = 5-29-6 First we will find Eigenvalues of matrix. For that , consider ,…

Q: The columns of Q were obtained by applying the Gram-Schmidt process to the columns of A. Find an…

A: Given that the column of Q were obtained by applying the Gram-Schmidt process to the columns of A.…

Q: Describe the graph of the equation. r = (8 – 21) i + 13t j O It is a plane in 2-space through the…

A: Given: r=8-2ti+13tjWe have to describe the graph of the equation.

Q: Let 2 -2 and y = Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of…

A:

Q: How many terms of the series - (-38)" 00 1+ 2" n=1 are needed to compute the sum of the series with…

A:

Q: Problem 4 The helix r(t) = (cos(at/2), sin(rt/2), t) intersects the sphere x2 + y2 + z2 = 2 in two…

A:

Q: ent vectors are wA (5, 10) and wB = (10, 5). Solve for the market %3D

A: Sol

Q: Find parametric equations and symmetric equations for the line. (Use the parameter t.) The line…

A:

Q: For the data { 8 , 9 , 13 } , what is the sum of the " squared deviations " ?

A: The mathematical average of two or more numbers is called the mean. Add all the observations and…

Q: A coin is loaded so that the probability of a head occurring on a single toss is 23. In four tosses…

A: here we will use Binomial distribution   A binomial distribution is simply the probability of a…

Q: Find the value of this series: 5 (n + 1)3" n!

A: Given series is ∑n=1∞(n+1)3nn!

Q: (-1)" Fact: the series S: converges by virtue of the Alternating Series Test. n n=1 According to the…

A: Error estimation theorem is used

Q: Use Gram-Schmidt to find q1, q2, q3 (orthonormal) as combinations of a, b, c (independent columns).…

A:

Q: T(E,)n T(E) = {0} and T(E,) + T,(E,) = F. %3D Show that T(E,) and T2(E2) are closed subspaces, i.e.…

A: Sol

Q: WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS : F(t) =…

A:

Q: A bacteria culture initially contains 1600 bacteria and doubles every half an hour. Find the size of…

A: Solution:

Q: Exercise 94. Evaluate ſcF dr where F(x,y)= xi- yj and C is the line r(t) = (1 -1, t), 0<I<1. If a…

A: Vector field and conservative vector field

Q: Q4) Find plane area inside polar function r 2 and outside polar function %3D r = -2sine in third…

A: If f is continuous and non negative on the interval α≤θ≤β with 0&lt;β−α≤2π. Then area of the region…

Q: What does the Four-Color Theorem say, and what is significant about the way it was proved?

A: The four color theorem is a famous theorem in mathematics

Q: Find the values of w, x, y and z in fraction form using (a)Gauss Elimination, (b)Gauss-Jordan…

A: NOTE: According to guideline answer of first question or first method can be given, for other please…

Q: If m*n denotes Im-n2 find the value of j. 3* (2*1)

A:

Q: Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of Rª spanned by #,…

A:

Q: (x – 2)² – In x = 0, [1,2]

A: The false position method (also known as the regula falsi method) uses the formula:…