13. Let A be an invertible n x n matrix. Let E₁, . . . ‚Ek be elementary matrices such that E... E₁A is in echelon form. Show that Ek ・・・・・ E₁ • E₁ = A-¹.

Q: The following data gives an approximation to the integral M = f f(x) dx N₁ (h) = 0.8237, N₁ () =…

A: To find- The following data gives an approximation to the integral M = ∫01fx dx, N1h = 0.8237, N1h2…

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Q: Solve the nonhomogeneous system tY': = - (²-2) ₂ Y+ (1-2₁).

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Q: VI. Let C be a space curve defined by the vector-valued function R(t) = (sin t cost, sin² t, √3t).…

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Q: QUESTION 3 A manager wishes to simulate 10 days of operation of an inventory system. The beginning…

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Q: 10. (2 sin x + 3cos 2x)dx

A: As the policy of bartleby the provisions is to solve only one question at a time when

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Q: s (s² + 7k²) Show that L{cos³ kt} = (s² + k²) (s² +9k²) HINT: you may use the identity cos a cos b =…

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Q: How many natural numbers are there with a maximum of 7 digits, the sum of which is 31?

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Q: Suppose that two nondimensional quantities are exactly A chapter, express the four quantities (A+B),…

A: Given,          A=8.73       3 siginficant figuresB=1.389     4 siginficant figures

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Q: A scuba diver swam 132 feet beneath the surface of the lake. He then swam up 58 feet. What is his…

A: Since you  have asked multiple questions here, we will solve the first question for you.  To get the…

Q: 4). Use rules of replacement to prove the following: a). (p^~q) (p^q) = p b). (pvq) →→ r = (p → r) ^…

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Q: QUESTION 3 A manager wishes to simulate 10 days of operation of an inventory system. The beginning…

A: Solution :-

Q: Let S be the surface with equation (z −4)² = 4x² + 4y². 1. Find an equation of each trace of S on…

A: we will find equations of traces and then find type of surface represented by comparing with…

Q: Q3: Use finite difference method to solve Laplace equation in the red (hand written plzzz) domain…

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Q: 2. Given: polar curves C₁ : r = √√√2 - cos 0 and C₂ : r = √√√2 + sin intersecting at A(³√², ³7) and…

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Q: 3. Calculate the circulation of A=p coso ap+ z sino a: around the edge L of the wedge defined by 0≤p…

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Q: Find the area bounded by the parabolas (x-3)² - 16ky = 0 and y² - 16k (x-3) = 0.

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Q: 4 Problem 4. Let V = {(a1, a2) a1, a2 in R}; that is, V is the set consisting of all ordered pairs…

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Q: How many integers 2 ≤ n ≤ 65 have no prime divisor less than or equal to ¹/³?

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Q: Find the volume of the solid generated by the region bounded by x2 + y = 6, y = x, y = -2 and x = -2…

A: Here we see the effect of revolving small depth dx.

Q: Use Hungarian Method of optimization. Using the same table of Operators (O) and corresponding Tasks…

A: We can solve  using given information

Q: 18.5 Given these data 1.6 X 2 2.5 3.2 4 4.5 f(x) 2 8 14 15 8 2 (a) Calculate f(2.8) using Newton's…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: Problem 3. Find the value of b₁ +c₁ b2 + c2 a2 + c2 a2 + b2 det a₁ +c₁ a₁ + b₁ k that satisfies the…

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Q: Separate variables in the following partial differential equation

A: Given,          x2utt-tuxt-x2u=0                          ...(1)

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Q: A 40-m high tower stands vertically on a hill side (sloping ground) which makes an angle of 18…

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² +…

A: Let us start solving the problem step by step... Given x2+y2-2y=0 y=2-x Revolving about y=0

Q: Find the extremal of the functions using Euler's equation. [²(x² + y² (y2 + y² + 2ye*)dx, y (0) = 0,…

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Q: 2πT 1 I₂ = So dt. 13 + 5 cost Let I be the unit circle {z e C : |Z| = 1} parametrised in the…

A: Solution:Let z=eιθThen z=cosθ+ιsinθ (By Euler's…

Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

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Q: Q/Write numerical programme to calculate the first derive for the following function Y(x)= x+1 x²+2…

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Q: Given: vector-valued function R(t) whose derivative R'(t) = (4t, 6t, -12t) (a) If R(0) = (-1,4,-5),…

A: We will use integral to find original position vector and arc length of given curve

Q: 1). Which of the following are propositions? Give the truth value of each proposition. a). It is an…

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Q: The population of a town is decreasing at a rate proportional to its size. In 1980, the population…

A: Given that  The population is increasing proportionally, given that in 1980 population=50000,…

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² +…

A: Let us start solving the problem step by step  Centroid of the solid generated  When x2+y2-2y=0…

Q: Problem 9. Consider the linear operator L: R2 R² defined by L ([2/2])=[ x2x1 2x1 + x2 Let = {[1]…

A: We have to find the transition matric from one bases to another.

Q: sin næ Let {fn(x)} = z = [1,2] and n = 1,2,3,.... (a) Find the pointwise limit of the sequence…

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Q: Find the volume of the solid generated by the region bounded by y - x² = -3, x+y = 3 about y = -5.

A: To find the volume of the solid generated by revolving the region: y-x2=3, x+y=3 about y=-5

Q: 4. Consider the vector-valued function R(t) = a. Find the domain of R b. Show that R is continuous…

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Q: . The speed limit on a highway is on miles /hour. Express this in a) meters/sec b) m m / microsecond

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Q: - ³²+2y — In(y + 1), find the arc length for 0 ≤ y ≤4 8 Given x =

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Q: Solve the following system and interpret the geometric meaning of your solution in each case…

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Q: Solve the following recurrence relation using generation functions: an = 6 an-1 6 an-1-9 an-2, Show…

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Q: (b) Show that k-1 (k+1) n n+1 for every n ≥ 1.

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Q: 6. Find all points with second coordinate -3 that are 6 units from (3, 2). 7. Find the equation of…

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