[0 0 0 Let A = 1 0 0 0 1 0 (a) Compute explicitly the product (I – A)(I + A+ A²). (b) Explain why I – A is invertible and find its inverse.

Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

A: Given function: hx,y=x3-3x+3xy2 To find: all the relative minimum and maximum values, and saddle…

Q: ORDINARY DIFFERENTIAL EQUATIONS PLEASE ANSWER ALL QUESTIONS 1. Use the operator method (method of…

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Q: Prefinals Tesk #2 Find the in ver se L apla ie FO) = (S+37* (s-7)

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Q: 2. (a) Find the derivative y', given: (i) y = (x² + 1) arctan a – r; Answer: (ii) y = cosh(2r log…

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Q: Q3) Solve the following boundary value problem using finite difference method d`y y_dy 3 +2y =0 dx…

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Q: Express each of the following in the form a + bi. cosh(1 – i2)

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Q: Question 1 The gradient of the line shown is 4 B. 3 c. 1 D. 1 2 3 4 5 Question 2 The shaded region…

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Q: Use the Cubic interpolation and the following data to find f(1.1) XF(x) 1 0.368 1.2 0.301 1.3 0.273…

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Q: 3. For the following permutations, find the number of inversions: Show your solution. a. 467918352…

A: Given some permutations, to find the number of inversions.

Q: 6. A home improvement company expects to sell 180 kitchen sinks during the year. There is a $60…

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Q: QUESTION 1 Consider the graph G(7,8) With V = {A,B,C,D,E,F,G} and 8 = {AB, AC, AD,AE, AG, BB, BF,…

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Q: Find the Laplace transform of 1. f(t) = [1– Uz7(t)](2 sin t – sin 2t)

A: Given the function ft=121-u2πt2sin t-sin 2t  We will find the Laplace transform of ft

Q: Solve for the laplace transform using the formula. 9. F(t) = e-2t-

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Q: 28. V1 + x*dx , n=9 03

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Q: dz and ду dz IV. Suppose z is a function of x and y, and tan Vy2 + x² = z"e6y. Solve for

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Q: 3. Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

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Q: COMPLEX ANALYSIS 5. Evaluate the following line integral v) dz where C is the simple closed path…

A: To Evaluate: ∫Czz¯dz along the curve shown in the given figure.

Q: (a) Show from first principles, i.e., by using the definition of linear inde- pendence, that if µ =…

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Q: Express each of the following in the form a + bi. cosh(1 – i2)

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Q: II. Let U = R I= {x €R|x - 14x + 45x = 0 J= {x €R|x s6} S = {x €R| |2x| > 2}. } Find the following.…

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Q: prove a Bolzano–Weierstrass theorem and explain on how you prove the theorem. Thank you

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Q: Determine whether the following set of polynomials is linearly independent (1 – t)?, t – 2t2 + t³,…

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Q: Question 4. Find f/ (x). (a) f(x) = xsinx (b) f(x) = sech-1x²

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Q: III. In a particular very small region, the consumer price index, C, depends on the current valuc of…

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Q: Let V and V' be vector spaces over a field F and B = {b,, b2,.., b,} be a basis for V. Then there…

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Q: For the normal distribution shown below, what area is contained between -2 and 1? -3 -2 -1 3 T2

A: Normal distribution is the most common continuous probability distribution. In a normal distribution…

Q: Find the Laplace Transform of the following using the definition via integration: 8. F(t) = 5 sin 3t

A: Solution:-

Q: Q4) Solve the boundary value problem y 3y' + 2y 0 with y'(1) = 1 , y(3) = 2e - e? h = 0.5

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Q: Q5) Solve the equation with y (0,1) = y (1,1) = 0 y (x,0) = sin x ! = 0,0 sxSI 8. ду (х .0) and…

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Q: Since question b has 5 parts to it its still 1 question

A: Given that,y=48×0.99twherey is temperature of liquid in degrees celsiust is time in minutes. The…

Q: II. Consider the function g defined by 1 g(x, y) = cos (Tx Vy) + log3(x – y)" Do as indicated. 1.…

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Q: construct a cayley table for the dihedral group of order 5

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Q: 14 35. x²e *dx, n=6 0.2

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Q: 5. Find the volume of the solid generated by revolving about the x-axis the smaller area bounded by…

A: Solution :- As per guidelines . I do first only.

Q: Find the common area betuween V=2C1+Cose) and carved V=2(1-Sine) which is Locatel in the Fuorth…

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Q: Hiws slove du 4 dt %3D dx2 h=I u(6,t) = L (8,t)=0 u(x,a) =0 =4X- ()X

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Q: 6. (a) Carefully sketch (and shade) the (finite) region R in the first quadrant which is bounded…

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Q: Q4) Find the maximum eigen value for the system A with initial vector 5 4 x' (0) = (1 1)

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Q: Determine the area of the region below. A. 1.5 sq. units B. 1/2 sq. units C. 1 sq. unit D. A sq.…

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Q: linear transformation from a finite dimensional inner product space V to itself is shew ymmetric if…

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Q: Q4) Solve the boundary value problem y -- 3y' + 2y = 0 with y'(1) = 1 , y(3) = 2e* – e? h = 0.5 %3D…

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Q: Find the Laplace of the following Periodic functions: 1. f(t) = t 0 <t < 2 2. f(t) = ksin(wt) 0 < t…

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Q: Set up the double integral f 2x + ydA where R is the region above the x-coordinate bounded by the…

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Q: The Discrete Fourier Transform (DFT) is of paramount importance in all areas of digital signal…

A: Given, f(t)=t2   0&lt;t&lt;a0    t&gt;a Applying Fourier cosine transformation, fc(s)=∫0∞f(t)cosstdt