Find the composite function f(g(x)) if, f(x)=x³+1 and g(x)=x+1

Q: Solve the following Initial Value Problemsing Laplace transform: -8t y" − 9y' + 8y = e ; ; y (0) =…

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Q: 16-20 INITIAL VALUE PROBLEMS Solve the given problem. (Show the details.) 16. "2" + 4y' - 8y = 0,…

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Q: the following definition using symbols:  A function f(x) is increasing iff for every real x and…

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Q: 3. is not a field. EXERCISE Let U be a ring with unity 1. Show that a) b) c) if 0 = 1, then U…

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Q: Q2):- Find Y[Z] of signal Y[n] (Cos wn). U[n]

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Q: 5. Let (G, *) be a cyclic group, namely G=(a). Prove that (a). if G is finite of order n, then G…

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Q: Consider the following system. x = ( ¹ )* X 1 5 -59 X Find the repeated eigenvalue of the…

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Q: Solve 1 1 1 1 -)))-(-) using the inverse of a matrix.

A: This is a problem of linear transformation.

Q: Assume that y is the solution of the initial-value problem y' - If y is written as a power series 1…

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Q: Use Stokes' Theorem to find the value of the line integral of the vector field F around the curve C…

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Q: Application of the Laplace transform ( Solution of partial differential Equations) H.W. solve the…

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Q: Number of votes The 11 members of the Town Board must decide where to build a new post office. Their…

A: To determine the winner using the pairwise comparison method.

Q: Find the area of the portion of the lemniscate r² = 8 cos 20 that lies in the region r > 2.

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Q: 3. Is H closed under scalar multiplication? If it is, enter CLOSED. If it is not, enter a scalar in…

A: 3. Correct format for red box is    2,[[1,0],[0,1]]   Explanation  for this ans is in the next step.

Q: 05: Methane - air represent diffusion flame, if the mixture fraction governing equation d²z dz is…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: Given r(t) = cos(πt)i + ln(t)j + t-6k

Q: demand fet max .: qi это = a- 2bg-bај окно это 89-05= (18=2 тве 20 if ах пи(qwqј) = P9% =…

A: Consider the part of the calculation, Maxπiqi,qj=pqi=qia-bqi-bqj here we need to explain the next…

Q: Let C be the curve represented by the equations X = 11t, y = t², (0 ≤ t ≤ 1). In each part, evaluate…

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Q: Which of the following is a not number theoretic function? (a) (b) σ Ø greatest integer function…

A: We have to check which of the following option is a not a number theoretic function. Number…

Q: :-Solve the following equations (choose tow only):- 1: x²y=- 2xy + 2y = 2x³ ex

A: Solution of the cauchy Euler's differential equation

Q: 2. Evaluate the following a. log i b. tanh(3 + i) c. (2- i)¹

A: Solution:-

Q: QUESTION 1. Consider the following data 4 5 6 7 f(x) 0.6 .65 0.74 0.78 Use forward difference…

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Q: Consider the real sequence {an} given by Justify whether (a) it is an increasing sequence; (b) it is…

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Q: 3. Given f'(x) = 4x³ - 12x² complete parts a-c. Show all your work to earn full credit. a) Find the…

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Q: Consider the following data X 4 5 6 7 f(x) 0.6 .65 0.74 0.78 Use forward difference formula of order…

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Q: r = 6 sin 3r i - 6 cos 3t j O It is a parabola in the xy-plane, with vertex at the origin. O It is a…

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Q: Determine whether F(x, y) = xi +9yj is a conservative vector field. If so, find a potential function…

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Q: A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold 3185…

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Q: Solve the following recurrence relation (find a closed form formula) : an = 2 an-1-3 for all…

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Q: The Family Plan: $90 monthly fee, unlimited talk and text on up to 8 lines, and data charges of $40…

A: Given- The Family Plan: $90 monthly fee, unlimited talk and text on up to 8 lines, and data charges…

Q: Perform the row operation R₁ and replace R₁ on the following matrix. 700 28 05 06 0058 700 28 05 06…

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Q: Determine the radius and height of the largest cylinder that can be inscribed in a cone of the…

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

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Q: Find a simple closed curve C with counterclockwise orientation that maximizes the value of 1 $ 3x³…

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Q: What are the axes of rotational symmetry for each of the following polyhedra? Give the order for…

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Q: Use spherical coordinates to evaluate the triple integral e-(x² + y² +2²) J dV, x √2² + y² + 2² E…

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Q: A = 1 1 020 00-1/

A: Follow the steps.

Q: Suppose that a furniture manufacturer makes chairs, sofas, and tables. Consider the following chart…

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Q: Example. The three-point Gaussian quadrature formula is given by: 5 8 5 f²₁f(x) dx = = f - ³ / (-) +…

A: This is a problem of Numerical analysis.

Q: Solve the following system of differential equations. x' = [], x, x(0) [3] You must submit your work…

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Q: an+1 Assume that converges to p = 1. What can you say about the convergence of the given series? an…

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Q: Solve the following using the inverse matrix method: 2x - y + 3z = 9 x+y+z = 6 x-y+z=2

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Q: 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 0 0 0 1 0 1 1 1 0 1 0 1 0 1 1

A: From i to j with k length is (i,j) position of A^k.

Q: Find the number of ways to break a group of 12 people into 3 smaller groups, at least one person per…

A: The problem boils down to finding the number of solutions to x_1+x_2+...+x_r=n. We refer a standard…

Q: A testing service makes an error that causes all the SAT scores for several thousand students to be…

A: For the solution of the problem follow the next step.

Q: You have an opaque urn with three blue balls and two white balls. One by one, you draw (remove) a…

A: As per our guidelines we are supposed to solve only first three subparts of the problem. For the…

Q: Discuss about hairy ball theorem in comprehensible way.

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Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

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Q: Use the Laplace transform to solve the given initial-value problem. dy -- y = 1, y(0) = 0 dt (Đ) =…

A: Given differential equation is dydt - y = 1,  y(0) = 0

Q: The Temperature Tat any Find the heighest temperature x² + y² +2²=1. point in space T=400xyz on the…

A: Given,T(x,y,z) = 400xyz2 subjected to g(x, y, z) =x2+y2+z2-1 = 0