Question 5 Write down the quadratic form corresponding to the matrix. [1 2 -31 A = 0 3 lo o -2] 2

Q: Use Limit Comparison Test to find the condition on p that determine the convergence or divergence of…

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Q: Compute the exact sum of the following: n j 4 ΣΣΣ&- ) j=1 k=3 j=2

A: Sum of summations

Q: (a) (14)(13)(12) (b) (14)(18)(19) (c) (16)(15)(14)(13)(1

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Q: , find the change-of-coordinates matrix from the basis B= {1– 2t +t?,3 - 5t + 41,2- 2t + 5t?} to the…

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Q: A student borrows ​$3000 at 15​% for 6 months to pay tuition. Find the total amount due using simple…

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Q: The function f(x) shown in the table below is a linear function. Identify its slope and y-intercept,…

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Q: a) Use Limit Comparison Test to i) find the condition on p that determine the convergence or…

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Q: 3. If X is a solution of the IVP [1 X' X, X (0) = %3D %3D hen X () %3D

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Q: Exercise 14.4.25. In light of what you discovered in the previous exercise, write each cycle as a…

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Q: Find the absolute maximum and minimum values of f on the set D. Rx, V) = x² + 4y? - 2x - 8y + 1, D=…

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Q: The real part of an analytic function f(z) where z = x + iy is given by ey cos (x). The imaginary…

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Q: Complex Number The value of x + yi in the complex equation -(3+ yi) = x + 2i is?

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Q: Laplace and Inverse Laplace Transform Solve the Laplace transform of sinwtcoswt

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Q: 1 3 - 1 - 3 -9 - 8 Let P = - 3 -5 ,v1 = 4 V2 = 6. and v3 = 2 Complete parts (a) and (b). 4 1 4 7 a.…

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Q: Which of the following is a possible sequence of operations whose composition describes the overall…

A: Given:  To find: The possible sequence of operations whose composition describes the overall…

Q: Solve the following initial value problem y" + 4y = 8 8(t - 27); y(0) = 3, y'(0) = 0.

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Q: Method: LU Decomposition Method Solve equations 2x + 5y = 21, x + 2y = 8 using LU decomposition…

A: Here A = 2512

Q: Problem 2: Shade a Venn diagram to represent the sets A, B, and C, such that: (i) C – (A° N B) (ii)…

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Q: Find the root of the given function using a. Incremental Search Method b. Method of Successive…

A: The function given is as follows: fx=x4+5x3-16x2-2x+16 (a) We are asked to find the root of the…

Q: Find the Fourier Series expansion of the graph and its characteristics given below. sin t, 0<t <a f…

A: Hint: Fourier series expansion of the function ft in the interval 0&lt;t&lt;2π is given by…

Q: The model of the car you are thinking of buying is available in three different colors and two…

A: Lets understand it very basic way. Lets say 3 different colors be R, B, G and  two different styles…

Q: centered on a wall the mirror is 36 in wide and the wall is 18 ft wide which equation have to…

A: Given that a mirror should be centered on a wall the mirror is 36 in wide and the wall is 18 ft…

Q: 1. x3 – 2x2 – 5 = 0, [1,4]

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Q: 15. Which of the following can be the value of r in C(15, r) = 1365? 4 6. 5 3

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Q: roblem 1: Prove A = {m E Z :m mod 6 = 2} is a proper subset of B = {n E Z : n is even}. roblem 2:…

A: We have to prove that the given statement in question 4.

Q: Problem 16. With all sets appropriately defined, only one of the following two statements is always…

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Q: a) Find the length of the curve y = 5x/T - 6, 1<r< 3.

A: Arc length of the curve along x-axis

Q: If the UNSHADED region below represents the feasible region based on the constraints: 2x+3y 26…

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Q: Suppose f" exists and is bounded on Co,0), Prove that if bam fa)=0, then bim fGx)=0.

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Q: 50- 40 30- 20- 10- -10 10 20 30 Rosa is a lifeguard and spots a drowning child 30 meters along the…

A: We need to minimize time needed by Rosa to reach the child .  For relative maximum or minimum To…

Q: Calculate C(12, 4). O 40 320 990 11 880 495 O O O

A: Given C(12, 4)

Q: Method: Gaussian Elimination Method PhP 65,000.00 is invested in three bonds at the rates of 6%, 8%…

A: We have to find the price of each bond using the Gaussian Elimination method.

Q: Evaluate Pw.-(x+2y))- dr, where C is the curve shown below.

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Q: A two-bedroom apartment rents for $995 per month plus utilities. The estimated utility e every two…

A: Given, monthly rent and expenses are given. The average monthly expense and expense for one year is…

Q: Solve using Gauss-Seidel Method (consider ea to be <5%) The following system of equations is…

A: Hope you like it

Q: Given a graph with this adjacency matrix: Note: this matrix will be used for this question and the…

A: Graph theory, graph the simple graph using adjacency Matrix

Q: xyj + z³ k, fo YI F intersection of and y + z = 2

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Q: A - (BUC) = (А — В) n (А — С) (A – B) UC ) Option 3 O Option 4 (А - В) U (A — C) (А — В — С) Option…

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Q: (-1)" Given: In(1+x) Σ n +1 if |x| < 1. n=0 1. Find the Maclaurin series for f(x) = x ln (1+ 5).…

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Q: Given that yı e" is a solution of ry" + (1 – 2x)y' +(z - 1)y=0, find its second solution y2 on (0,…

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Q: Write out the subsets A, B,C defined below by listing their elements between braces. A = {x € S : x²…

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Q: Suppose you want to have $400,000 for retirement in 25 years. Your account earns 9% interest. How…

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Q: Does the following series converge or diverge? 6n Σ 3/2 6n + 7n +5 n= 1

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Q: 4. By using Taylor series, show that e =cos.x+ i.sin x.

A: We have to show that  eix = cos(x) + i sin(x) By using Taylor's Series.

Q: Use the method of Laplace transforms to solve the given initial value problem. Here, D[x] and D[y]…

A: We have to solve the given system of differential equation using Laplace transform.

Q: Match the points plotted on the graph with their polar coordinates. y 4 (x, y) = (2 V3, 2) E F В 4 C…

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Q: 5. Find the value o(1) for a solution (x) to the initial value problem: (1+ 2x)y" + 4xy'- 4y = 0;…

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Q: Calculate 7!/(3!2!) .

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Q: Find the eigenvalues of the matrix. 0 0 0 -4 4 0 2

A: We have to find the eigen values of the given matrix ;                A = 0000-44002

Q: d) increasing decreasing. (You may use maple. However, you must clearly show how you used the first…

A: Given that fx=x4+x3-2x2+2x2+x-2