23 Find a 4 by 4 permutation matrix (call it A) that needs 3 row exchanges to reach the end of elimination. For this matrix, what are its factors P, L, and U?

Q: Solve the following Initial Value Problem using Laplace transfo -9t y" - 12y + 11y = e ;y (0) = 1,…

A: The given equation is y''-12y'+11y=e-9t Taking Laplace transform on both sides Ly''-12y'+11y=Le-9t…

Q: Suppose that a function f(r) satisfies the following properties, together with the table of signs…

A: we have to use following relation between f , f' and f" * when f'(x) >0 => function increasing…

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 3. lim (x-3) tan(9-x²)…

A: We want to calculate the limit limx→3(x-3)tan(9-x2)sin2(2x-6) To solve this we use the following…

Q: Using trigonometric substitution to solve: secx (A) +C 8 csc 2x√3+cos²x sin 2x B 8 cos x√3-cos²x sin…

A:

Q: Q2) Which of the following series is converge or diverge 00 Σ ,0.7777777777777 η? n=1 Σ{} n=1

A:

Q: 1. Let C be the parametric curve defined by Determine if C is concave up or concave down at…

A: Given parametric curve isx(t)=t2-t-2,y(t)=t3-12t2+tThe concavity of the curve C at the point -2, 32…

Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 2x - lim x-2- 3x-4 X-2 x2-x-2/

A: We have to evaluate the given limit.

Q: Apply Milne's method, to find a solution of the differential equation y=x-y² in the range 0≤x≤1 for…

A:

Q: 18. Show that Σkind(k)³ = (Σk|n d(k))² for all positive integer n.

A:

Q: Find the unit tangent vector of the given curve. r(t) = (7t cost-7 sin t)j + (7t sint + 7 cos t) k…

A: The given question is related with unit tangent vector. Given that,               rt = 7t cost - 7…

Q: Find area of the region bounded by x² + y² = 42, 9y = -10x and 14y 5x where y > 0. Leave your answer…

A: Given that,A region is bounded by x2+y2=42, 9y=-10x and 14y=5x, y≥0.The area of the above region is…

Q: (-3,0) 3 -2 4- 3+ 2. -1 (0, -0.5) -1,-2) (-1,-3) -3- (1,0) 2 y = f'(x) 3 (2,-0.5) (3,-2) (4, -3) I

A:

Q: Let z = x+iy and f(2)=√√|xy|. Show that ƒ(z) satisfies the Cauchy-Riemann equations at the origin,…

A:

Q: Graetest common divisor of 252 and 664 Greatest common divisor of 252,414,664

A: Greatest common divisors

Q: 2. Let T: R³ R³ be the linear transformation given by x1 + x2 + x3 +((:))-[ T X2 2x1 x2 + 7x3 -4x₁ +…

A:

Q: How many meters of cloth 5.2 metre wide will be required to make a conical tent, the radius of whose…

A: Solution

Q: The line L(t) = (2+1,8-31, 2t-6) intersects the plane 2y - 3x + 3z = -11 at the point

A: Given, the line             Lt=2+t, 8-3t, 2t-6                                   ...(1) Intersects…

Q: sec42x -dx tan 2x 1 1 12 tan 62x Find 1 1 A 16 tan 82x ⓇB (cor -=— 1+3csc²2x 12 cot82x) (4sec 22x-1)…

A: Evaluation of the indefinite integral by using substitution method

Q: Q1): The concentration of salt is given as a function of time by: dx = 37.5 -3.5x dr at the initial…

A: Euler's Method: If dxdt=fx,t, y0=y0 then  xn+1=xn+hftn,xn

Q: Q2): A polluted lake has an initial concentration of a bacteria of (1*10' part/m³), while the…

A:

Q: a. 2 uxx = Иxy - 4uy azu J2u azu ди b. + +4 +3+u = 0 ?х у дуг ?х ?x2 ди c. k = 2 ,k < 0 ду 02u ?хг

A: Classification of the Partial Differential equations

Q: 4. Show that if A is closed in Y and Y is closed in X, then A is closed in X. Verify it and make…

A:

Q: How many strings of three decimal digits (each digit can be 0-9) do not contain the same digit three…

A: Solution :-

Q: Calculate the Radius of Convergence

A:

Q: 3.27.2. Let X be a metric space with metric d; let ACX be nonempty. (a) Show that d(x, A) = 0 iff x…

A:

Q: Consider the function f(x) = ₁, x = [0, 2]. Construct the 1+z² Lagrange interpolation polynomial…

A: Given function is fx=x21+x2, x∈0,2. We have to construct the Lagrange's interpolation polynomial of…

Q: Example 9.6. The integers 0, 1, 1, 2, 3, 5, 8, 13, 21,...... are said to form a Fib quence. Form the…

A:

Q: -13 2 6 1 The matrix I 09 4 3 3 2-8-1 -2 3 2 10 The Augmented matrix is as follows: -13 2 6 1 -7 09…

A: Given: -13w+2x+6y+z=-7  0w+9x+4y+3z=4  3w+2x-8y-z=-5  -2w+3x+2y+10z=0 To solve the system of…

Q: Find A where R is the region R outside the circle r=2 and inside r= y sin o

A:

Q: II. Given: sinh r − 1 if x 2 x-2 Determine if f is continuous or discontinuous at x = 0 and at x =…

A: Jump discontinue of the function

Q: Q2): A polluted lake has an initial concentration of a bacteria of (1*107 part/m³), while the…

A:

Q: Use the Gauss-Seidel method to solve the following system until the percent relative error falls…

A:

Q: subject to

A: Given,           p=3x+2y+zsubject to           2x+y+z≤150      2x+2y+8z≤200          2x+3y+z≤320and…

Q: log3 (2r² + y) + tan (2-³) = sin-¹ (²-1) +

A:

Q: Consider a system of linear equations A [:] b where -2 b [3] and A-1 RA Find the value of y in the…

A:

Q: 3.   p=317, q=811 (a) Consider the multiplicative group F∗p and find a generator (primitive root)…

A:

Q: 2. Given the matrix A below, solve for det inv A. A = 1 0 0 11 02 1 1 2 1 0 1 0 14J ¹2

A:

Q: Example 10.28. Solve the differential equations dz dy = 1 + x2, dx -xy for x = 0.3, dx using fourth…

A: Here, We need to use the fourth-order Runge-Kuta method to solve give differential equations.

Q: GGQ. VII. Consider the function f that satisfies the following: . f is continuous everywhere except…

A:

Q: [ e2x+lnx’ sin x dx = + ½ fe²x cos x² dx

A:

Q: Differentiate cross-chords theorem and secant-secant theorem.

A: Cross-chords theorem: If, in the given circle, if we draw two chords AB and CD intersecting at point…

Q: Determine if the system 15x₁ 3x2 5x3 -3 -2x1 14x2 9x3 = 10 -2x1 3x2 6x3 = -12 is diagonally…

A:

Q: Find the number of all ordered 4-tuples of integers that are greater or equal to -3 whose sum is 1.…

A:

Q: 2. Given the matrix A below, 1 A = 02 2 1 0 1 2 0 1 4 solve for det inv A. The several of the…

A:

Q: State a Euclidean postulate and provide real-world applications as examples. Limit answer in 50…

A: Euclidean postulate are given below:  A straight line may be drawn from any one point to any other…

Q: Solve b part only now in 10 min

A:

Q: V. Given: 2. Find f'(2), if it exists. el3r-61-2, f(x)=[2x - 5], √x²-9, if x ≤ 2 if 2 3

A: Given that  fx=e3x-6-2,if x≤22x-5,if 2&lt;x≤3x2-9if x&gt;3

Q: G. Find a root of an equation f(x) = 10 - x² using Bisection method, ε = 0.01, and b = 5. a = -2

A:

Q: Let S₁ be the surface generated by x = √1-(y-1)² revolved about the y-axis. Let S₂: y = x² + 2.…

A: This is the surface of revolution S1(x axis (green),y axis(red),z axis(blue)).

Q: 2. (Problem 3.38 modified) Obtain the solutions of the following second-order non-homogeneous ODES:…

A: