Find the singular value decomposition of the mat

Q: α. Γ(6) 2Γ(3) b. Γ(7/2) Γ(1/2)

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Q: problem using determinants with solution

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Q: Determine the area bounded by f(x)=x²-X and x-axis. A 1 4 unit² B unit² (C) unit² D ~/m 6 unit²

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Q: Solve the following initial value problem. y'' +25y = 3x; y(0) = 1, y'(0) = 5 The solution is y(x) =

A: Solution: Given; y''+25y=6x,    y0=1 and y'0=5, Auxiliary equation will be for y''+25y=0 and let…

Q: aquarium in a centre of nature in the shape of a rectangular prism. The aquarium is 10 feet long, 8…

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Q: The orthogonal trajectories of the family of curves y = cx² is (A) 2x +y2=k (B) x²+2y² = k © x=ky² D…

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Q: x + 2 Determine the case of the following proper rational function after simplification: (x² – 4)(x³…

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Q: Use mathematical induction to prove that: 3n 22n + 1 for n ≥ 1

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Q: Based on the figure below, approximately how many orders of magnitude bigger is the genome of…

A: Given,A figure showing genome size in log for different genomes.To find: Order of magnitude of the…

Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

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Q: Based on a study, the Lorenz curves for the distribution of incomes for bankers and actuaries are…

A: Given: Lorenz curve for the distribution of incomes for bankers, fx=110x+910x3. Lorenz curve for…

Q: prove that

A: Introduction: Mathematical induction is a mathematical technique for proving that a statement,…

Q: Let X = {1, 2, 3, 4, 5, 6}. Which of the following is a partition of X? O {1, 3, 5) O {(1, 2), (3,…

A: Solution:-  Options (d) is correct

Q: In 7₂ [X], show that the distinct

A: To prove that the distinct polynomials x4+x  and x2+xin ℤ3x determine the same function from  ℤ3 to…

Q: 4. (-) Prove that a graph G is k-connected if and only -connected

A: We have to prove that graph G is k-connected graph if and only if  G∨Kr is k+r connected.

Q: Q3/ Find dy/dx at the given point for the following function

A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

Q: In dx Evaluate the integral: Sen(2²+2x-7) X+5x +5x+31n|x-2|+C 2 B x² + 5x + In|3x-6|+C O ²+5x+x=2+C…

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Q: Use at least 6 decimal places of accuracy 1. C sin (z² + 2) dx using n = 6 2. √ √² +6dz √² +6 dz…

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Q: 1. Construct the interpolating polynomial of degree 4 using divided difference for the data given…

A: We have to find the interpolating polynomial of degree 4 using the divided difference formula.

Q: The conditional statement, P→9, is logically equivalent to A q→p B -p-q C 9-P D P→q

A: Solution:-

Q: 4) Find the total derivative of the function: a.f(x, y) = ex²+y² c. T(l,g) = 2π b. z = x siny - y…

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Q: The midterm grades of randomly picked eight students in an MMW class are as follows: 84, 90, 74, 84,…

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Q: 5. Find a function u(r, 8) that is harmonic outside the unit disk, equals f(0) = 2 sin(30) + 4 cos…

A: In the given problem we used the fact that f is harmonic on the unit circle, and using the…

Q: From a table inside a room with current temperature of 26 degrees Celsius, a left over Fried Chicken…

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Q: 5. Let V be a vector space over C and let T: V → V be a linear transformation. (a) Give the…

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Q: 8.M.2 One can define a bilinear form on R2 by the formula ‹ [ 8 ], [ 8 ]› = ac − 3ad − 3bc + 7bd. a)…

A: We have to find the Gram matrix G of the given bilinear form. Then, we can proceed further.

Q: Solve the exact differential equation (In y - y sin x-6e³x) dx + ( + cos x + 5 sec y tan y - 6y)dy =…

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Q: Your company are designing metal trays. They will be made out of a sheet of metal which has a…

A: Solution: Given , Perimeter=80cm square of side=2cm

Q: 4 If R is a commutativ ring, show that the characteristic of R[X] is the same as the characteristic…

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Q: Find the general solution to the equation. First find a small integral root of the characteristic…

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Q: 2. Let M = {m - 10, 2, 3, 6}, R = {4,6,7,9} and N = {x|x is natural number less than 9} a. Write the…

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Q: plication 12 e. 9 in Z29 under addition

A: Follow the steps.

Q: For the following graph of a function, estimate the area under the curve on the interval [-5, -1]…

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Q: 1 2 3 4 5 6 7) and g = (1 Let f= 2 3 4 5 6 7 54 6 3 be permutations in S7, 5 4 2 3 1 7 6 7 2 written…

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Q: Junjun bought three different game credits from a certain mobile application wallet. He paid an…

A: In this question, the concept of average is applied. Average The arithmetic mean is the ratio of the…

Q: 2. Consider the recurrence relation an = 1 + a[4], ao = 0. (a) Find the values a₁ to a10, by…

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Q: 1 1 23 4 5 6 Let f= 2 3 4 5 6 2563 4 and g = be permutations in S6, written in two-line notation. 1…

A: The organization together with all feasible diversification of N items is referred to as the…

Q: Let G be the interval (2/3, ∞). Let be the operation on G such that, for all x, y € G,…

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Q: A solution of a differential equation free from arbitrary constants obtained from the general…

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Q: A population of bacteria growing exponentially can be modeled as P(t)= Pue, where t is the time in…

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Q: Solve: y""(t)- y" (t) + y' (t)- y(t) = H(t); y(0) = 0; y'(0) = y" (0) = 1; where H(t) (t+3,0 ≤ t <1…

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Q: The matrix has eigenvalue > = 3 with an eigenspace of dimension 2. Find a basis for the…

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Q: (e) S (s² + a²) (s²-b²)

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Q: Setup the iterated double integral that gives the volume of the following solid. Correctly identify…

A: Solution

Q: y factoring and canceling, you would divide the numerator and 64 denominator by what number?

A: In this question, the concept of the Highest Common Factor (HCF) is applied. Highest Common Factor…

Q: Who wins by plurality? A BBM (B) LENI MANNY (D) No winner Number of Votes 1st Rank 2nd Rank 3rd Rank…

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Q: ★ Use the Integral Test to evaluate the series for convergence. ∞ 1 In(In(n))2. n=2

A: Solution

Q: The table shown below gives the number of radioactive nuclei in a radioactive sample over a period…

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Q: A set S of vectors in R4 is given. Find a subset of S that forms a basis for the subspace of R4…

A: Basis for the subspace

Q: Question 10 What is the next number in the sequence? 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ... A) 89 B)…

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