Exercise: (2 7 4 i. Find the inverse of A =| 3 1 5 0 8

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A: Introduction: A triangle is a closed figure that is bounded by three straight lines. When the length...

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A: y1=x5, y2=(x+2)5+1 According to the guidelines I am answering first three parts only.

Q: Let A E Mnxn(R), show that it is possible to express A as the product, A = PQ where P,Q E Mnxn(R), a...

A: Given: A matrix A∈Mn×nℝ   To show: A=PQ, where P,Q∈Mn×nℝ such that P is positive semi-definite and Q...

Q: EX s- Apply the improveed Euler's method to the ý = x+y , hzo-2, Xozo, Yo=o ODE : Sol:- K = 0.2 (Xn ...

A: Here we use Basic formula of Euler and improved euler.

Q: a. Show that the series is conditionally convergent at æ = 3. %3D b. Identify the interval of conver...

A: This is a problem of series.

Q: dx 6. dt 2 -2

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Q: 10 20 30 40 50 60 70 80 v(t) 14 22 29 35 40 44 47 49 Estimate the area of v(t) from 0 to 80 using le...

A: Introduction: A definite integration can be approximated in three different ways. These are the left...

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Q: (2) Find the value of ß (,-)

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Q: If F = 2zî + (x+ z)j +(3x + 2y)k and Cis the boundary of triangle with vertices (2, 0, 0), (0, 3, 0)...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: 1st we will find projection vector of AP on AB and then by using triangle law we will find projectio...

Q: The tangents to the rectangular hyperbola xy = c² and the parabola y = 4ax at their point of interse...

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Q: Question: Change the order of the following integral. Rewrite the integral by changing to cylindrica...

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Q: Compounded Quar- Daily Corponded

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Q: 3 7 1 3 ha 2 4

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Q: (a) The quadratic equation produced to model the trajectory of a test missile is y = -0.0822 + 2.15r...

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Q: 5. Consider the equation f(x) = x - 2- = 0. (a) Show that the above equation has a solution on the i...

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Q: honic function

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Q: i) Obtain the complete and singular integrals of = px +qy + p°q. -31 ii) Find the Laplace transform ...

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Q: f(r + h) - f(x) Find the difference quotient f(x + h) – f(x) Find f'(x) by determining lim Find f'(-...

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Q: Use the 2016 FICA tax rates, shown below, to answer the following question. If a taxpayer is not sel...

A: The expression: "x% of y" is same as the expression: x100×y. Calculate the tax corresponding to the ...

Q: Apply the Inverse Matrix method (AX=B method) to find the unique solution of below mentioned system ...

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

Q: Now consider the series V8(4n)!(1103 + 26390n) This series was discovered by the extraordinary India...

A: (a) The given series is ∑n=0∞84n!1103+26390n9801·3964nn!4. Prove that the series converges using rat...

Q: 3. Consider the following system of linear equations: x + 2y – z = -1 2x + 2y + z = 1 3x + 5y – 2z =...

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Q: 1. Use the Euler, improved Euler and Runge-kutta methords to solve the following ODES: d. ý =(1+)y, ...

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Q: Consider the points A(3, –3, 5), B(5, –5, 2), C(-1, –4, 2), and D(4, 1, –8). (a) Find the volume of ...

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Q: n the region enclosed by the given curves. y - cos(x), y - sin(2x), Osxs 1 6. IN । ० KIN

A: Introduction: The area of the region enclosed by the curves y=f(x) and y=g(x) with a≤x≤b is given by...

Q: Explain what the gradient vector means and what the Euclidean norm of the gradient vector means in c...

A: Gradient vector: For a given function f(x,y,z), gradient vector is defined as ∇f=i∂∂x+j∂∂y+k∂∂zf=ifx...

Q: 4. a) Find the value of x where the function f(x) = (x- 4)3 is not differentiable. 2x-1 has a %3D b)...

A: (a) It is given that ;                          fx = x-423 , We have to find those points where f(x)...

Q: Q2. You are planning to control pollution from four manufacturing facilities those are discharging p...

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Q: Give 2 examples of Continuity and Discontinuity. Show your complete solution using the three conditi...

A: We know that a function fx is continuous at a point x=a if limx→a- fx=limx→a+ fx=fa, where limx→a- f...

Q: Consider the system of linear equations below. Solve for E. 2A - B + 3C -D = 5 A + B - 2D +E = 0 -B ...

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Q: Q4 B) Find y' for the functions cos(xy) + 3*+cos ly+ In(xy) + log-7 dy

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Q: A. Calculate f(2).

A: This is a problem of Taylor series approximation.

Q: Let X be an ordered set, and A C X. Show that a. for every E X, x has at most one immidiate successo...

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Q: Consider the following diagonalizable matrix A. 1 -2 A = -2 5 -2 -6 -3 Find a diagonal matrix D and ...

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Q: 5. 3 women push a stalled car. Each woman pushes with a 425N force. What is the mass of the car if t...

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want...

Q: 3.) Let set S = {x, e*,sin x , cos x} be a solution to a 4th-order homogeneous differential equation...

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Q: 2x1 - 3x, - 4x3 s. t. X1 + x2 + xX3 + S1 = 30 2x, + x2 + 3x3 - S, = 60 х - х, + 2х, X1 = 20 X1, X2, ...

A: Let 2x1-3x2-4x3=Z The given problem is Min Z=2x1-3x2-4x3 subject to x1+x2+x3+s1=302x1+x2+3x3-s2=60x1...

Q: Consider the region R bounded by the curve y = In(r), the r- axis and the line = 5. %3D 3. Determine...

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Q: A, is skew-symmetric, then prove that (B B + B, B') An = . Ajk = 0. %3D

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Q: 1. Use the Root Test to determine if the series (-1)" 2/m en? (2n2 – 1)n n=1 -

A: Introduction: The root test is another significant tool to determine the convergence of an infinite ...

Q: Solve the recurrence relation, S (n) = S(n- 1)+2(n-1) with S(0) = 3, S(1) = 1 by finding its generat...

A: Given relation  S(n) = S(n-1) +2(n-1) , S(0) = 3 and S(1) = 1

Q: In Exercises 1–6, find a basis for the solution space of the ho- mogeneous linear system, and find t...

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Q: . If f is a continuous function from the metric space X to the metric space Y and {xn} is a sequence...

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Q: Find the coordinates of the centroid of the solid generated when region bounded by x2 + y? – 4y = 0 ...

A: Solution:-

Q: Prove or disprove the following statement: Let A, B be two sets such that A ∩ B = Φ. Then P(A)- P(B)...

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Q: A fuel-tanker’s tank is 50 feet long and has a diameter of 7 feet. Determine the surface area of the...

A: Given question related to the surface area of cylinder . Solution is given below

Q: Let y(x) be the solution of the initial value problem dy 30°y, y(2) = 3x?y, = 3. dx Use Taylor serie...

A: The initial value problem given is as follows: dydx=3x2y,  y2=3 The Taylor series expansion of order...