. By mathematical induction, prove that if ニ then A" =| 1 + 10n 4n -25 -25n 1- 10n 11 A - 9

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A: Given:   A training field is formed by joining a rectangle and two semicircles, as shown below. The…

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Q: Solve 6x^5 - 41x4 + 97x3 - 97x² + 41x -6 =0 Solve by reciprocal equation.

A: if an equation remain unaltered on unchanging x to 1/x it is called a reciprocal equation a…

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Q: 4. Find the solution to the following system of equations. Show your work. x+y= 10 x-y = 2 You may…

A: To solve the given system of equations.

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Q: Find all solutions of the system of congruences *= 6 mod 7 * =1 mod 5 * =1 mod 3.

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Q: 1 X(z) = (1– 2-')(1– z-3)

A: To Solve using partial fraction: X(z)=1(1-z-1)(1-z-2)

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A: We will construct a linear programming problem according to the given conditions. Let x and y is the…

Q: 2. I3D X-に-A

A: To find: Area of the shaded region in adjoining figure.

Q: a) Show that this series converges when x = 1. (You will need to use one of our tests.) (b) In fact,…

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Q: Use either a computer algebra system or a table of integrals to find the exact area of the surface…

A: Solution

Q: F10 TO a) v. %3D Find vectors and in IR2 Such that S is the transition matrix { る from to の

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Q: Consider a linear system whose augmented matrix is of the form 11 32 1 2 43 13 mn For what values of…

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Q: Let f(z) = ((z – 3i)? + 9)ez-si The Laurent series representation of f(z) in the domain 0 < |z – 3i|…

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Q: 3. Let f(z) = 1-z and y(t) = t+it for t E-1,1). (a) Sketch the image of the curve y. (b) Evaluate…

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Q: G8. Construct the graph where the vertices are you, your parents, and your grandparents with a…

A: Given : Vertices- you, parents and grand parents Relationship- born in same state.

Q: Calculate the area of the region bounded by the curves x = = y² and x-y=2. a. 11/5 sq units O b. 9/2…

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Q: 1. Given the following matrices: [1 1 0 1 1 6 1 [2 1 11 8 2 -2 2 3 -1 0] D = |0 1 0 13 2 1 1 3 |1 2…

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Q: functions identical?

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Q: Find the solution for the system of Linear equations using Gauss-Jordan Elimination of the augmented…

A: First, write into matrix form then find augmented matrix.

Q: Consider randomly selecting a student at a large university, and let A be the event that the…

A: Given P(A) = 0.6 P(B) = 0.4 P(A ∩ B) = 0.5

Q: Problem 1. Let x, y, u and v be row vectors in R' obeying: (2, —1,3), у%3 (-3, 2, 2), X = and…

A: If vectors a→  and   b→  are the two adjacent sides of parallelogram , then area of parallelogram is…

Q: x³ – x +1

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Q: the ratio of left-handed players to right-handed players in a baseball league is 2 to 5. There are…

A: Given :  The ratio of left handed players to right handed players is  2:5.               And the…

Q: 3) The complex conjugate of z is denoted as z. Solve for z in the equation: 27(1 – j2), j 2- j3 1 +…

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Q: 4. Use Method of Undetermined Coefficient to solve for the general solution of the given…

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Q: 7. Evaluate fff, 4xydV, where E is the solid bounded by z = 2x2 + 2y2 – 7 and z = 1. You must use…

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Q: 1. Mark each statement True or False. Justify each answer. (a) If (sm) is a sequence and s; = Sj,…

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Q: 3. Compute log r 1+x²

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Q: T 00 f(t) = + E an cos(nat/L) + b, sin(nat/L) (1) ÷TSt) cos(nat/L)dt, b =".S(t) sin(nat/L)dt (2) an…

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Q: st4 (i) F(s)= (s+2)(s+1) st6 (ii) F(s) = (s+1)(s+3) s+6 iii) F(s) =' s(s+3)

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Q: G10. How many edges does Ks have? K, in general?

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Q: Required information Consider the following integral: I = S *dz NOTE: This is a multi-part question.…

A: given data: ∫04x3dx∫xndx=xn+1n+1=∫04x3dx=x4440=444I=64

Q: If my recipe calls for 65 lbs of cubed sweet potato, and it has a yield of 75%, how many whole…

A: Given, recipe calls for 65 lbs of cubed sweet potato, with a yield of 75% .

Q: 1. Find the vector x determined by the given coordinate vector [x]g and the given basis В. 8 B =…

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Q: Consider the folowing. X - 8 cos e Y - 5 sin a (a) Sketch the curve represented by the parametric…

A: We have to sketch the curve.

Q: If possible, find a single matrix equal to the fo -2 9 (a) 5

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Q: Let X = {a, b, c, d, e, f, g} and Y = {1,2). Let X (d) and let g: X Y %3D %3D be the function…

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Q: 1. Consider the function f(r) = cos(z) for c= 7n and h %3D 100 (a) What is the approximate…

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Q: Sn = .444 ...

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Q: ind the coordinate vector [x]g of x relative to the basis 1 B = X = -2

A: Coordinate vector of the given vector

Q: 4. Use Method of Undetermined Coefficient to solve for the general solution of the given…

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Q: 1. The Saints softball team has 3 different colored jerseys (black, orange, and white), three…

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Q: 6. Find the solution of the differential equation y"(t) - 3y'(t) + 2y(t) = 4; y(0) =y'(0) = 0 using…

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Q: undetermind Coefficiends 2. ズマーズニトナ,At,8

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Q: Question 2: Find the inverse Laplace transform of 10 a) F(s)= s(s+2)(s+3)? b) F(s)=- s+4s+5 1 c)…

A: The given problem is to find the inverse Laplace transforms of the given functions F(s). We have to…