How many different strings of size 2 can be made using all the letters in the word GOOGOL?

Q: 26. Write the equation of the line passing through (2, - 4) and parallel to the line y = 3x -2. 27. ...

A: 26. The equation of the line parallel to the line  y = 3x - 2  is y = 3x + k  , where k ia a constan...

Q: The Archimedean Property says that the set of real numbers have no upper bound. True or False

A: Given a statement , we have to check whether it is true or not.

Q: For each of the following functions defined on the interval (0, ): (a) Find the Fourier sine series....

A: Fourier sine series  of the function f(x) in the interval 0<x<L f (x) = ∑n=1∞  Bn  sin  nπx L ...

Q: 2°) Use integration by parts to prove that, for any positive integer n, (2n + 1) In = 2n In-1. 3°) S...

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Q: Let u, v, and w be vectors in RP. Which of the following statements are always true? 0. (i) If u and...

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Q: You and your classmates want to earn extra income this summer. To do this, you will sell Summer Fun ...

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Q: Exercise 10. Show that if ACB, then ACB.

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Q: 2s +3 Deter mine the inverse Laplace transform. of

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Q: Using Newton's Divided Difference, the interpolating polynomial of the points (xo.Yo) = (- 2,1), (x1...

A: We use Newton's Divided Difference interpolation formula. x      x0      x1      x2      x3y      y0...

Q: з dy 5. S 4y-3

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Q: у" — 27у 3 0 y

A: Find the general solution using the characteristic equation  y"' - 27y = 0 Characteristic equation i...

Q: 2z - v2 Find I = dz, where C = |z + i| = 1, CCW z2 + 0.25i

A: The general form of a complex number is given by z=x+iy, where x,y are two real numbers and i=-1. Th...

Q: L(3tcos2t) is equal to? Select the correct response: O [3(s? + 4)]/(s? - 4) O (3s2 - 12)/(s² + 4)² O...

A: Laplace transferom of the function

Q: . Calculate the volume of the sol Renclosed bư

A: Given, the plane                     4x+2y-z=0 and above the finite region R enclosed by the curves ...

Q: Directions: Evaluate the following integrals. Show your complete solutions. Identify the u and the d...

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Q: See equation below. Find the value of a + b. (Answer must be an integer) 1 sint(a — аcost) 1 L-s2+ 1...

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Q: Find the laplace transform of x(t)=tcosh(6t) Select the correct response: (s^2 + 36) /[(s^2 -36 )^2]...

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Q: Consider the system of linear equations :) -- ( ;) 3 1 8 5 In the following, let A denote the coeffi...

A: The explanation is as follows:

Q: 1 ;, n > 3. n vIn n Let an Show that the sequence {an}-3 is decreasing.

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Q: v² dx + x(xt y) dx = 0 LINE 1 let x= v2, dx = yda+ zdy y2 (ydz + zdv) + xz(vz +Y)dy= 0 vz (vdz t zdv...

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Q: Quèstion 1 1) Write the next three terms of the following sequences. 3 4 (a) 2, 5 4'9' 16 a =2 (b) a...

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Q: The enormous state university history department offers three courses-ancient,medieval, and modern h...

A: Given The enormous state university history department offers three courses-ancient, medieval, and m...

Q: Determine the values of the variables to satisfy the equation. 4a-b+c+d = 14 , 2a-2b+3c-7d=-21 , a-5...

A: We determine the values of the variables a,b,c and d to satisfy the equations 4a-b+c+d = 14 , 2a-2b+...

Q: Q5. Find the Laplace Transform of the functions x(t) and yıt), which satisfy the coupled first diffe...

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Q: The equation of motion of a mass is given as: y = (0.51)e 0.-(0.01)e0.2, where y is the displacement...

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the r...

Q: Number 32 please

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Q: 1 then (an) converges to 0. An+1 Exercise 8. Prove that if (xn) is a sequence such that lim n→∞ An A...

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Q: 23. Find the product. (-3x - 7)(5x + 8) 24. What's the equation of a horizontal line through the poi...

A: Q22,24,25 asked and answered.

Q: y′′(t)−2y′(t)+y(t)=e2t−t ; y(0)=y′(0)=0

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Q: 8. S4 csc2 4x dx

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Q: Recall from question 2 of the last assignment the subgroup 1 ab S = 0 1 1 c: a, b, Ce Zs SL3(Zs). 0 ...

A: As per the instruction, we will be solving the first question. Here, we have S=1ab01c001: a, b, c∈ℤ3...

Q: 10.3.3. Let G Z/4Z x Z/6Z, and let H be the subgroup of G generated by (2, 2). (a) What are the elem...

A: Given that G=ℤ/4ℤ×ℤ/6ℤ.i.e. G=ℤ4×ℤ6H is a subgroup of G generated by 2,2i.e. H=<2,2> oG=4×6=24

Q: 1. Graph the following set on a number line and express the set in interval notation. {x\x s -2} -10...

A: The solution of 1,2 question is given below . First question related to real line and second questio...

Q: Solve the matrix equation AX = B for X. 1 6 A = B = - 15 X=

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Q: b.

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Q: Quèstion 5 5(-1)" is a geometric sequence 3" +2 True O False

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Q: Consider the following. 2 -20 -4 -5 A = 1 P = -1 -1 -7 (a) Verify that A is diagonalizable by comput...

A: We have to verify that A is diagonalizable or not. After that find the eigen value of A.

Q: x' + 2 5 x =

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Q: (b) Let a, b, c, xo, x1, Yo, Y1 ER and xo # Yo, a + 0. Then the ODE ay" + by' + cy satisfying y(xo) ...

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Q: Senes anverges diverger. if Aavergent, tnd Hhe sum 2n n t2 to h? + 2n

A: a) ∑n=1+∞2nn+2 here an=2nn+2 using series divergence test if limn→∞an is either does not exist or ex...

Q: Find the length of the curve y = V- from z =1 to r = e. 3

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Q: 3) Find a basis for the subspace of R that consists of the intersection of the planes X-3Y 5Z and X ...

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Q: Emily went on a quiz show. The questions in the first round were worth 1 point. The questions in the...

A: Given Points for each correct answers in first round = 1 Points for each correct answers in second r...

Q: 2. Let X and X, be sets. Define functions T1 : X1 x X2 → X1, T2 : X1 × X2 → X2 by T1(X1, X2) = X1, T...

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Q: Find Im(z) if z(8 + i) = 7+ (384 + 448i)

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Q: Find the products AB and BA to determine whether B is the multiplicative inverse of A. 1 A = - 3 -4 ...

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Q: 3. (a) Show that the Fourier series for f(x) = x², –n < x < n, is cos(nx) 4(-1)"-1 n2 n=1

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Q: Use the method of separating variables to solve the following ODE. You may leave the solution in imp...

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Q: In one of the laboratories, it conducted an experiment on 900 insects to prove the effectiveness of ...

A: We will write a Matlab code for this problem 

Q: Which of the following sets are closed under scalar multiplication? (1) The set of all vectors in R ...

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