1² +3² +5² +...+(2n+1)² = (n+1)(2n+1)(2n+3)/3

Q: Consider the equality constrained least-squares problem minimize || 4x-b||2 subject to Gx = h where…

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Q: Suvery results for 3015 bread bakers were reviewed. Group one; Bakers who use unbleached flower…

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Q: r³ - 15x - 12 x² + 4x +3 (i) S dr

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Q: In each of Problems 17 through 19, find the Laplace transform Y(s) = Lly) of the solution of the…

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Q: Use Simpson's Rule, with the value of n given, to determine an approximate value of the given…

A: ∫02dx1+x3, and n=8. To Do:We have to calculate the approximate value of the integral using the…

Q: dy dx = x(ex + 2) 6y² y (0) = 1,

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

Q: 47 [A] = 2 5 8 and [B]= 2 5 8 369 2. Multiply the matrices as follows c. [B][A]T (C)=4 and (D)=5)

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Q: Use the accompanying figure to write each vector listed as a linear combination of u and v. Vectors…

A: We shall use the given figure to solve the problem. To find the coordinates of c,w,x and y, we have…

Q: 16. A region V is defined by the quatersphere x² + y² + z² = 16, z ≥ 0, y ≥ 0 and the planes z = 0,…

A: Given: A region V is defined by the quatersphere x2+y2+z2=16, z≥0, y≥0 and the planes z=0, y=0. A…

Q: Consider the function f(x)=2-2x² on the interval [-1, 6]. Find the average or mean slope of the…

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Q: The transformations that will change the domain of the function y = 4√x are Select one: O a. a…

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Q: Solve the initial value problem below using the method of Laplace transforms. y'' - 16y=32t -…

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Q: 1. Find the x and y-intercepts of these lines: a. r= = (3,1)+ t(-3,5), teR b. x = −6+2s and y = 3 -…

A: Lines :r→=3, 1+t-3, 5, t∈ℝx=-6+2s and y=3-2s, s∈ℝ

Q: The graph of the function f(x)=√x is stretched vertically by a factor of a and is translated 3 units…

A: The graph of the function fx = x is stretched vertically by a factor of a and is translated 3 units…

Q: Find the vector x determined by the given coordinate vector [x] and the given basis B. B =…

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Q: Σ=1(n=2) 2n+11

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Q: For the system 5x - y 2x + y The associated homogeneous system is Jax + by = C dx + ey = f Enter in…

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Q: (a) Draw the solution curves that satisfy the initial conditions below. You can sketch each solution…

A: As per the question we are given the direction field plot of following nonlinear dynamic system :…

Q: Determine the first derivative 1. f(x) = √7 X4 - √5X³-√5 Xx + 7 15 2. f(x) = 2x 8- 6x³+ 5x²³-2X4 3…

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Q: waveform.

A: One may find that a0 and bn is 0.

Q: Action: Create a net of a three-dimensional solid. Cut a circle into smaller and smaller segments.…

A: Actions :Create a net of a three-dimensional solid.Cut a circle into smaller and smaller…

Q: Find the constants a and b such that the complex function f(z) = x² + ay² - 2xy + bx²i − y²i + 2xyi,…

A: A function f(z)=u+iv is analytic if ∂u∂x =∂v∂y and ∂u∂y =-∂v∂xGiven…

Q: Find the equation y = Bo + B1x of the least-squares line that best fits the given data points. 15)…

A: The least square line, also known as the least squares regression line or the best-fit line, is a…

Q: In Problems 11 through 18, find the position function x (t) of a moving particle with the given…

A: For given acceleration function we have to find the position function.

Q: 13) Write write sinu cosu - - sinu as a product cosu as a product

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Q: For the following set of discrete data: 1.0 ind: X Y 2- 1.729 1.5 1.691 2.0 1.505 d²y at (x = 2.0)…

A: x 1.0 1.5 2.0 2.5 3.0 Y=f(x) 1.729 1.691 1.505 1.416 1.311 Estimate f′′(2.0). Central…

Q: The graph of the function y =√x is stretched translated 4 units up and 6 units to the left. Answer:…

A: For the given values we find g(x)  Then we put x=8  And find the value of g(8)

Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. 16)…

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Q: Let A = {a₁,32,33} and B = {b₁,b₂,b3} be bases for a vector space V, and suppose a₁ = 5b₁ b₂, 1 a₂ =…

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Q: What is the present value of $15,000 compounded semi-annually at 8 percent for two years?…

A: To calculate the present value of an investment compounded semi-annually, we can use the formula for…

Q: A liquid flows from a tank. The volume, V, in liters that remains after a time t in minutes is…

A: The volume, V (in liters), after time t (in minutes) is modelled here as      V(t) = 5000(20 - t2)…

Q: Beginning in January, a person plans to deposit $1000 at the end of each month into an account…

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Q: Prove that (A ∪ B) − A = B − (A ∩ B) using: (a) the choose-an-element method (b) the algebra of set

A: We have to prove the set using two methods.

Q: Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a diagonal matrix D…

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Q: The differential equation (4x + 3y + 1)dx + (4x + 2y + 1)dy =

A: Note: The Differential equation is non-exact.

Q: In Problems 11 through 18, find the position function x (t) of a moving particle with the given…

A: Given: The acceleration function of a moving particle is at=50 sin5t. The initial position is given…

Q: 1.. If 7-(-3, 2] and -(2,-4), find -7+37. a. [3,-10] b. √√√277 2. If p-[5,-3] and [1,4], find…

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Q: Question The function below is discontinuous at which of the following values? -x + 3 f(x) = -2x + 2…

A: fx=-x+3if x≤-2-2x+2if -2<x≤13x-3if 1<x We have to check for the discontinuity of the given…

Q: = A: a) Let T be a linear functional from R³ to R. Show that there are 3 real a,b,c such that T((x,…

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Q: In each of Problems 17 through 19, find the Laplace transform Y(s) = Lly) of the solution of the…

A: y''+4y=1,0≤t<π0,π≤t<∞ y0=1,  y'0=0 To Do: We have to find the  Laplace transform Ys=Ly of the…

Q: El Find the exact area of the surface obtained by rotating the curve y = √1+ 4x, 1≤x≤5 about the r…

A: The curve y=1+4x, 1≤x≤5 is rotated about the x-axis. We have to find the surface area of the…

Q: (i) ܠܘ 1 (4-x²) dx

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Q: Find the absolute maximum and absolute minimum of the function f(x, y) = 2x³ + y²¹ on the region…

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Q: 3) Given the function ƒ(x)= x³ +15x¹ +25, find the following: a) Use its second derivative to find…

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Q: 14- Use the (7, 4) Hamming code: a- Using equations method: i- Determine the code word for the…

A: We use the (7, 4) Hamming code: a- Using equations method: i- Determine the code word for the…

Q: The vector x is in a subspace H with a basis ß = {b1,b2}. Find the ß-coordinate vector of x. b₁ =…

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Q: In this problem you will prove the general disjunction rule. P(AUB) = P(A) + P(B) - P(ANB) (a) Let A…

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Q: Find the monthly house payments necessary to amortize the following loan. Then calculate the total…

A: To calculate the monthly house payments necessary to amortize the loan, we can use the formula for…

Q: Simplify 45 164-23 but leave answer as a power in simplest form.

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Q: Sin I = 4) Sin = 5) Give the domain and range of cor', sin", and tam' b) Give the Law of Sines

A: Function : sinπ6 and sinπ3Inverse cosine : cos-1Inverse sine : sin-1Inverse tangent : tan-1