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Q: 1. Evaluate the following integrals: e) dx |-x² + 4x – 3 f) . dx J (x – 2)Vx² – 4x + 3 -

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Q: Let P3(x) be the interpolating Lagrange polynomial of degree 3 passing through the points (0,0), (1/...

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Q: Writing In (x+jy + a/(x+jy-a)]-u+ je, show that (a) x+y-2ax coth u + a = 0

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Q: Find dl lethere L is irde anc

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Q: show that the inverse of arotation matrix is transpose,which is also arotation matrix, and it is gen...

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Q: that to Sulve the fullowig Apply Jucobis equatisns me =4-5 yu=1-6 - 4 +37

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Q: Which of the following is a measure of dispersion? Standard Deviation Mean Median Correlation Count

A: To find which of the following is a measure of dispersion :-

Q: Level B Test Name (8 as Factor) 8 8 х 8 10 8 х 8 х 7 х 3 4 8 8. х 8 х 2 х 8 х 8 х 8 8. 8 10 8 х 8 х ...

A: simple mathematics problem,  with 8 multiplication 

Q: Given a normal distribution with a mean of 130, and a standard deviation of 4.5, find the value of a...

A: Z-score corresponding to a normal variable value X is      (X-mu)/sigma Where,      X = normal varia...

Q: Find n(L) for the following set: L = {x | x is a letter found in the word divisibility}. n(L) = Hint

A: Given set  L={x|x is a letter found in the word 'divisibility'} we have to find the number of letter...

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

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Q: Test C. Solve problems involving continuity of a function. Directions: Do as indicated in the follow...

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Q: Use Euler's method to calculate the first three approximations to the given initial value problem fo...

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Q: R-x, 0<x <A 0, Q7) Find the Fourier sine transform of f (x)= otherwise

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Q: A certain computer algorithm executes twice as many operations when it is run with an input of size ...

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Q: Equal versus Equivalent Given the two sets: А - {25, 28, 29, 27, 25, 26, 27, 30, 27, 31} and B = {z ...

A: We have to check whether given sets are equal or equivalent.

Q: 1. Solve the following LP using the dual simplex method. At each iteration, choose the most negative...

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Q: dy -1+2, dx xx (a) Solve the homogeneous differential equation (b) Determine whether the following d...

A: (a) The given differential equation is :                                dydx = 1+yx+y2x2     ..........

Q: how can you make a Python Script executable on Unix?

A: Solution

Q: 2п 2п 3. Find the fourth roots of 16 [cos(3 Hisin(). 3

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Q: 4y 6. Consider the solution to the differential equation y' with y(1) = 1. 3x %3D (a) Apply Euler's ...

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Q: 6. Maximize z-x, + 2x2 + 3x3 + x4 subject to 2x, + x, + x, + 2x, s 18 3x, +5x2+ 2x,+ 3x, s24 3x, + 2...

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Q: plz provide handwritten answer for part b

A: Note: In the question, it has to be sinθ = 1213, instead of sinθ = 12 13 To find- If for a right ang...

Q: Find the equation of the tangent line to the graph of y = f(x) at the point where x=-3 if f(-3) = 2 ...

A: The value of f-3=2. Therefore, the tangent line passes through the point -3,2. The value of f'-3=5. ...

Q: 1. Determine for y(s) if y(0)=3, y'(0)=-2 and y"(0)=7 dy dy dy +5 + 6- =D0 dt dt3 dt2

A: We have given differential equation, d3ydt3 + 5d2ydt2 + 6dydt = 0  It's Auxiliary equation is given ...

Q: Consider the power series (2x + 3)" 2n² + n – 1 n=1

A: To find: The radius of convergence of given power series.  The rule for finding the radius of conver...

Q: boloid z=x^2+y^2 in an ellipse. Find the points on this ellipse that are nearest to and farthest fro...

A: In this question, the concept of Lagrange Multiplier is applied. Lagrange Multiplier The Lagrange mu...

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

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Q: C) Convert the equation 5x2 + 2y2 3z to spherical coordinates. %3D

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since th...

Q: When plotted, the 7 roots pf unity form a regular ______. A. Hexagon B. Pentagon C. Heptagon D. Deca...

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Q: x’y" – 3xy' +3 y=3 ln x- 4 y(1)= 0 y'(1) = 1

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Q: Consider the function f(1) = (r - 1)e. a) When is f(r) = 0, when is f(r) > 0 and when is f(r) < 0? b...

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Q: 1. . :) Determine the series solution to u' – tu = -ť², up to t.

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Q: Salve the fullowing equations using bisectrion thed me X siAx+CusX= fors] Xost

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Q: Find the volume of the solid resulting from rotating about the x-axis the region under the curve 1 y...

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Q: Which of the folowing functions has +++1°x² + 1 the partial fraction decomposition AEPartialFraction...

A: Given that  Ax2+Bx+Cxx2+1+Dx2+1 i.e. Ax2+1+Bxx2+1+Cx3+Dx2x2x2+1 i.e. Ax2+1+Bxx2+1+Cx3+Dx2x4+x2 i.e. ...

Q: Problem 18. Show that dz < 2ne? 1/31 +3

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Q: Given the description of the phenomena, identify the corresponding mathematical model. A population ...

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Q: Question 3. Let n > 2 be an integer. Show that n is either a prime or it has а prime faclor < Vп.

A: Question: Let n be an integer such that n≥2. Prove that either the number is a prime number or it ha...

Q: X Q6) Find the Fourier cosine transform of f (x ) = sin x , 0<x <A 0, otherwise

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Q: A tangent plane to the ellipsoid x². y? a b2 meets the axes in A, B, C. Show that the envelope of th...

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Q: Imagine you have some workers and some handheld computers that you can use to take inventory at a wa...

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Q: Suppose z = 7+-8i and w = 9 + 7i. Then Re (2)=?

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Q: b. 3 4 9 1 6 7 6 8 6 6 4 2 7 3 4 4 1 5

A: this is matrix question  apply matrix subtraction operation, you get result

Q: Question: Using Principal Component Analysis (PCA) method, find and plot the principal axes for the ...

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Q: Express your answer in rectangular form both in EXACT value and approximate value. Round off approxi...

A: To determine the nine roots of −256−j2563

Q: 1. Solve this system of non-linear equations using your calculator. Adjust the calculator window to ...

A: The given problem is based on non linear system of equation. We have to provide the solution. The ca...

Q: Consi der the power series DO (2r +3) Σ V2n2 +n - 1 n=1 (a) Determine the interval and radius of con...

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Q: PLEASE HELP WITH QUESTION 5 & 6 Find the critical point of each of the non homogeneous linear syste...

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Q: format: a=0,b=4. DO NOT include spaces in between characters. * Find the values of a and b such that...

A: Given function is f(x) = 3x2ifx≤1ax+bifx&gt;1