Find the vector v with the

Q: what is the rate of return when 25 shares of stock a, purchased for 30/share, are sold for $825? The…

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Q: -2 -5 8 0 -17 1 3 -5 1 A = -7 -15 23 5 -77 1 7 -13 5 -3 1 0 10 1 0 1 -2 0 3 0 1 -5 (a) Find the rank…

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Q: (c) Find dy/dx at t = T/3. (d) Include in sketch for (a) the tangent line to the curve at t = T/3…

A: We have to find the equation of tangent line.

Q: Use the limit comparison test to determine whether each of the following series converges or…

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Q: Suppose you have an experiment where trials have a 20% chance of error, and you repeat the trial 8…

A: Introduction: A random variable is an unknown variable or a function that assigns values to each of…

Q: Determine whether the subset of C(-0, co) is a subspace of C(-0, co) with the standard operations.…

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Q: hat instead of having a box with square ends, you have a box with square sides so that its…

A: Introduction: The volume of the cuboid with length l, width b and height h is given by, V=lbh

Q: s+2 6) f(1)=e" cos(t) Ans. F(s)= (s+2)° +1 A(s+a)+ Bß 7) f(1)=e""(Acos(ßt)+ B sin(Bt)) Ans. F(s)=…

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Q: Find the Fourier series representing f (x) = x, 0<x<2n and sketch its graph from x = - 4 t to x 4 T.

A: fourier series

Q: Question 3: Find A-', using "super-augmneted ma- trix" if [3 1 -17 A = 5 2 1 1 -1 then check your…

A: The given matrix is A=31-152   011-1 We have to find A-1 by using "super-augmented matrix" .

Q: Round your final answers to four decimal places if necessary. Suppose that the average yearly cost…

A: Given- Suppose that the average yearly cost per item for producing x items of a business product is…

Q: Solve the following DE's a) y" +y = 0 c) y"-4y' + 49y = 0 y(0) = 0, y' (0) = 5 b) y"" – 2y" + 4y' –…

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Q: Question 7: Find all values of k for which A is invertible, given that O k k A = |k k 0 k2 2 k

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Q: Show the recursive function for the following sequence.......... 2, 5, 8, 11, 14..........n.

A: Here the sequence is 2,5,8,11,14,.......... We have to find the recursive function.

Q: 5. Show that the function h(x, y) defined by 1 if a? + y? 1 is discontinuous.

A: We can solve this using R.H.L ≠ R.H.L

Q: Sketch the graph of aational function y=f) that satisfies all of the following conditions. a) The…

A: It is given that the horizontal asymptote of the rational function is y=2. Therefore, the graph of…

Q: solve the differential equation Lysiny 3

A: Introduction: A first-order differential equation of the form M(x,y)dx+N(x,y)=0 is known as the…

Q: The pmf of the amount of memory x (GB) in a purchased flash drive is given as the following. 1 2 4 8…

A: Let X be a discrete random variable with probability mass function px. Use the following formulae,…

Q: If point A is reflected over the x-axis, what are the coordinates of the new point A'? 4 2 ++ 2 4 -4…

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Q: Question 7) Find the value of the 5t non-zero term evaluated at z = 2.5 a. 0.856 E-10 b. 0.890 E-10…

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Q: 14. Which of the following is a solution of the differential equation d²y dx2 a) e10x dy 10 dx + 25y…

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Q: 1 (c) If F(x) = Str Juau dt find F'(x). Jcotx V1+2t*

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Q: True or False. Justify. dz → 0 as R → ∞. 2z3 + 4 ||zl=R

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Q: 2.1 For each of the following systems, find all equilibrium points and determine the type of each…

A: As per our guidelines we are supposed to answer only one question. The solution of the first problem…

Q: Compute V(X) (in GB2) using the shortcut formula. (Enter your answer to four decimal places.)

A: Introduction: A random variable is a variable with an unknown value or a function that gives values…

Q: Use the comparison test to determine whether each of the following series converges or diverges 00…

A: Test for converges by comparison test

Q: Calculate, f(t) from 5s² + 30 F(s) (s – 2)²(s² – 6s + 13) - |

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Q: 1. For the following quadratic forms (i) write down the symmetric matrix A (so the form equal to x"…

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Q: se a study revealed 5*

A: Given, a study revealed 57% of all subjects possessed trait A, 28% possessed trait B, and…

Q: Solve the sifferential equation using tftce Laplace transforms- y-3y'+2y=1-4X+2X y(0)=4,y(0)= 5-

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Q: Find the Laplace transform of f (t) = t2 cos t 53-s А. (s2+1)4 253-4s С. (s2 +1)4 2s3-6s B. 2s3 +4s…

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Q: Problem 6 Let A be a square matrix of order 4 such that vi = is an eigenvector of A associated to…

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Q: Q/ Solve the differential equeion tx²y)dy=2xydx

A: The Given differential equation is: (x2-y2)dy = 2xy dx Rearranging the differential equation:…

Q: Find the Laplace Transform of the following functions 1) f(t)=t cos(@t) 2) f(t) =t sin(@t) 3) f(t)=t…

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Q: Question 9 : Use Cramer's rule to solve : 4x1 - x2 + 3r3 =1 6x1 + 2x2 – 13 = 0 3x1 + 3x2 + 2x3 = -1

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Q: 15. (X³D² – 3xD + 31)y = 3 In x - 4, y(1) = 0, y'(1) = 1; yp = In x %3D %3D %3D %3D

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Q: a2 (p 26. For the differential equation yt" + 2y" +y = 5 sint +7cost, given the follwoing solution…

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Q: 1. Let A be a square matrix. Assume that the following statement is true: If B is an invertible…

A: For the solution of the problem follow the next steps.

Q: Choose and solve ONLY one of the following problems. Question 3A. Solve the following first-order…

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Q: Prove: For n > 1, n − 1 is a generator of Zn.

A: Introduction: A cyclic group or monogenous group is a group that is generated by a single element,…

Q: (b) Let f(r). 8 sin(r) + 3 cos(r). (i) Find the value of R20 and the value of 0° <a< 90° such that…

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Q: Maria doesn't have that kind of money..she decides instead, that she will take the $15,000…

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Q: 1 , Evaluate (i) L-1 (8² + 1) (s² + 9)

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Q: %3D The two parameter family of solutions of the DE: y" + 16y = 0 is y = ci sin 4x+ C2 cos 4r. Then,…

A: The homogeneous second order linear differential equation is y''+16y=0. It is given that the general…

Q: Prove that J3 (x) dx + J2 (x)+J, (x) = 0

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Q: Solve the following. non Homogeneous Differntial Equa tion (o²-1) =

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Q: A, BE R"Xn 2. Let n EN. Consider the following binary relation for A-B : 3Q E R"*": Q. A A= QB…

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Q: d Prove that dx [r" Jn (x)] = x" Jn -1 (x)

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Q: (b)Assume that f(x) is a function of the form -x-1; when -T < x <0 f(r) = when 0 <r < T Prove…

A: For the solution of the problem follow the next step.

Q: (c) 20 6 In + 19 %3D In r

A: (c) The given equation is 6 lnx+20lnx=19