-) Solve the following Cauchy problem: -00 0, u(x, 0) = 1, u4(x,0) = 2 – e¯*, -0

Q: Find the centroid x, y, z of the region R cut out of the region 0 < z< 8/x² + y² by the cylinder x2…

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Q: Find the measures of  the angles andside if a+b=114 and Angle A=94 degree and Angle B=64 degree

A: Introduction: The law of sines defines the ratio of triangle sides, and their respective sine angles…

Q: 2. Let n be a natural number and let A, B E Mnxn(C). If AB = 0, does it follow that either A = 0 or…

A: Given :  A, B ∈ Mn×n(ℂ)  with  AB = 0. To find : We have to examine whether  A=0 or  B=0.

Q: Express the following function in terms of units step functions and find its Laplace transform: (0,…

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Q: (-1 If 4 )-G )= G ). what are the values of x and d y? O x = 4, y = 2 O x = 2, y = -2 O x = 4, y =…

A: We want to find values of x and y

Q: Find the solution. (D3 - 3D - 2)y =0; when x =0, y=0, y' = 9, y" = 0. A y = (-1+ 2x)e-2*+ e 2x B y =…

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Q: d f a b d e f = 7. i

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Q: find the laplace transform of the following 1. L [2t2e-3tcos(4t)] 2. L [2t2e-3tsin(4t)]

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Q: Question 17 Find the solution. (4D3 - 3D + 1)y=0 (A y = (c, +c,)e*/½+c,e* y = (c,+c,)xe'/½+c;e¬2 -2x…

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Q: 17. To each person on the earth assign the number which corresponds to his age. A. bijective 18. To…

A: NOTE: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Solve the following numerical problems and provide all your pertinent solutions: Sketch a graph and…

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Q: Question 3 E the universal set ={1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Let A = {1, 4, 8, 10}, B = {2, 4,…

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Q: Given the function below, find the 3rd degree Taylor polynomial T3(x) centered at x = 5. Que Que…

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Q: 1) Show that F is conservative the find a function f such that F = Vf and use that function to…

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Q: Question1. Draw the graph of the function f(x) = |x|+\x-1| Question 2. Draw the graphs of the…

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Q: If y=sech (kx") and (

A: Given,       y=sech-1(kxN)   and (1-289x10)(y')2=Ax2

Q: ind the roots of the linear equations using Crout's Method 5X1 + 4X2 + X3 = 3.4 10X1 + 9X2 +…

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Q: Using Bisection Method,  find one real root of 2x cos(2x) - (x-2)2 = 0 on the interval of (2,3). Do…

A: Here given equation is -(x-2)2 + 2x(cos(2x)) = 0 Let f(x) = -(x-2)2 + 2x(cos(2x))

Q: (please solve within 15 -20 minutes I will give thumbs up)

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Q: E valuate:- seč (cosx) dXdy Sinly

A: We will have to evaluate: ∫01∫sin-1yπ/2sec2(cosx)dxdy.

Q: A combination lock on a suitcase has 4 wheels, each labeled with digits 1 to 6. How many 4- digit…

A: Here we want 4-digit combinations.  For each digit in the combination, we have 6 different choices…

Q: You randomly choose a ball from a bag. The bag contains 3 red balls, 10 green balls, 8 blue balls…

A: We want to find probability of choosing green ball.

Q: Consider the two point BVP: -u" + 3u = 1, 0<x with u(0) = u(1) = %3D

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Q: Question 11 Find the solution. d'x d?x dx + -2-=0 dt dr3 dr2 Ay = c,t+c,e+c,e -21 y = c,t+c,e"+ c,e…

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Q: find the upper limit of the positive root of the following equation x^3-3x^2-2x+7=0

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

Q: Use the given transformation to evaluate the integral. 6x2 dA, where R is the region bounded by the…

A: Evaluation of the double Integrals,

Q: Z= (2+3i)^4n+2 +(3-2i)^4n+2 show that z=0

A: Given z=2+3i4n+2+3-2i4n+2

Q: Prove that if 2^n+1 is prime then n is a power of 2.

A: Given, 2n+1 is prime To prove that n is a power of 2 if 2n+1 is prime

Q: Determine the points where the curve f(x) = 2x3 + 3x2 – 36x + 1 has a horizontal tangent. -

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Q: For what Vatuer of the Constant (k) that the funetion fayt=x'+kxy+y will have a- Saddle Point…

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Q: Let T : R + IR3 be a linear transformation given by T (v) = Av where A is the following matrix: -2…

A: let T:ℝ4→ℝ3 be a linear transformation given by Tv=Av where A=-2-1-22211200-14 find vector w , w' ,…

Q: 22. Consider the vectors: Vi = (2,0,0, – 2), |V2 = (– 14, –7,–12,54, V3 = (0, 1, 1 -6) V4 =…

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Q: 1.) Use the graph of f(x) below to evaluate the following: a.) f(3) = 3?. b.) lim f(x) = c.) lim…

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Q: Find the surface area of a square pyramid with side length 5 cm and slant height 4 cm. 4 cm 5 cm 5…

A: Given :  Side length(b) is 5 cm              Slant height(l) is 4 cm To find :  The surface area of…

Q: Find the Laplace transform of the function (Half wave rectifier) sin wt for 0 <t < f (t) 2 TT for IT…

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Q: s Solve the system of the linear equation below by the Gauss elimination method with pivoting. -2x2…

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Q: Find the solution. (D³ –2D2 -5D +6)y =0; when x =0, y=1, y'= -7, y"= -1 A y = -e - e2t y = -e+ 2e…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Prove that dr-V3Ta? where こis the intersection of the plates: x²+ and and F=ly,Z,x)

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Q: Sketch Z=4-y^2

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Q: Find the solution. dy 2- y?=2xy dx (A) (B) y 3 (D) y = 2x Question 11 Find the solution. d³x d?x dx…

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Q: Question 8 Consider the square with vertices (0, 0), (1, 0), (1, 1) and (0, 1). The matrix T, = ( )…

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Q: Determine if the graph shown below is Eulerian or Not * Eulerian

A: The graph is Eulerian if every vertex has even degree. Calculate the degree of each vertex of the…

Q: Suppose A is the matrix for T: R- R relative to the standard basis. Find the diagonal matrix A' for…

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Q: 3. Use the given graphs to sketch the graph of Ax) + g(x). Explain your process. [A3] [C2] g(x) Ax)…

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Q: (i) Let f(x) E[an cos(n7x) + b, sin(nax)] , %3D where, | +x, -n <x< 0 | 0, f(x) = 0 < r<T. Then, b,…

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Q: et (t2 – 25)y' + ty t + 15 Find the largest interval on which the solution of the initial value…

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Q: Exercise 4. z-sin z Consider the function f (z) 23 The type of the singular point 0 is: a) Pole b)…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: The diagram below shows a Figure on a coordinate plane.

A: Given figure:

Q: Q2- use Newton-Raphson method to obtain a root of equation x' - 2x + 3x -5 = 0

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Q: = sin 2 t, 2 n <t < 4 n and f (t) = 0 otherwise, in terms Represent f(t) of unit step function and…

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