The approximation of , xln (x +) dx using two points Gaussian quadrature formula is: 4.08176 3.0323 This option O This option 1.06589 2.8191

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A: We have to solve by Using Simpsons 1/3 rule .

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Q: Which of the following techniques is an analysis of the relationship between two variables to help…

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Q: 2. Evaluate the given line integral, | (-y,x – y) · dR, where C is the line segment from (1,0) to…

A: To find the line integral we use the equation of line segment in parametric form using given points.

Q: 5. Let L:R -R be the linear transformation defined by x-y x+y 2x Let S be the natural basis for R?…

A: The given linear transformation is Lxy=x-yx+y2x. LetS'=12,01be a basis for ℝ2. And Let…

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Q: Q.3) The radius of convergence of (1- x²)y" + 4y' + 6xy = 0 about xo = 0 , is: d) 1 %3D b) 2 c) 0 2x

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Q: [ 15CCOS 140 +i sin 140J] o [4 Cuos 280 t isin 280]

A: Exponential form = reiθ . Rectangular form = a+ib

Q: the asymptote of the hyperbola given by x^2/9-y^2/4=1 has the equation

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Q: 14. Use the Gram-Schmidt process to transform the basis for the Euclidean space R" into an…

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Q: dz Let z = a? + y, x = 2st, y = s- t, s = u", and t= u sin w. Compute for and du %3D

A: We have that z=x2+y3x=2sty=s-t2s=uwt=usinw We will find ∂z∂w and ∂y∂u

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Q: sin xdx. 3

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Q: Find the 4th midpoint Riemann sums of function f(x)= x^2 -3x +2 on (1,3) _____ with respect to a…

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Q: I. Draw a contour map of z = Vx2 + (y – 2)2 using k = 0, 1, 2, 3, 4, then sketch its graph in R³.…

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

Q: 3. Find the parametric equation of the line passing through the point (-1,0,3) and in the direction…

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Q: I.Let n E N and the functions: fn : [0, 1] → R, fn(x) = So dt 1+t a. Show that for every x E [0, 1],…

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Q: 4. Graph one complete cycle. Label everything! ! Fill in all the blanks. y = -1- 3csc( + Domain:…

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Q: Let k an even natural number, k > 4. Solve in Z the equation: 11...121 = x². k-2 times

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Q: 7. (Refer to HW#5: Section 2.3 - Exercise 2 ) Consider the following second-order equation: 6 + 7y =…

A: As per our guidelines we are allowed to do 1 question or maximum 3 subparts at a time. Please post…

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Q: 1 7.

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Q: swer no. 1 and

A: 1. Given,           A=R, (a*b)=a+b

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Q: 4. Let f:A→R and g:B→R where f(A)cB. Explain to prove that if f is continuous at CE A and g is…

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Q: dY Consider the linear system: dt Y. (?) () (a) Show that the two functions Y, (t) = and Y (t) = are…

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Q: Let S be the quadric with equation 36x? – 4y² – 9z² – 36x = 0. - - (a) Classify the graph of S. (b)…

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Q: Ive the following equations: 1. (D? - 3D + 2)y = 2x3 – 9x? + 6x

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Q: V25x² – 4 dx 8.

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Q: Chapter 7: Linear Programming 1. Find the duals. a) Maximize Z = 2?1 + ?2 − ?3 subject to: 2?1 + 2?2…

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Q: f) Minimize Z = 5x1 + 4x2 subject to: -4x1 + 3x2 2 -10 8x1- 10x2 s 80 X1, X2 2 0

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Q: Q.1) The general solution of the equation e' cos , is:

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Q: 3. Write an equation that can be used to model the graph shown below: 20t /2 2n/3 n/3 ST/6 10 20 10…

A: We can solve this using given information

Q: 1. Evaluate the given line integral, | (x – y, y) · dŘ, where C is the right part of 2² + y? = 1…

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Q: 2ydx + x(2 + x²y) dy = 0 %3D

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Q: For u = 0 we obtain the logistic DE on the line: i= r – r. Draw ihe phase line for this system.…

A: We will be solving Question 1 as mentioned. The given logistic differential equation on the line is…

Q: Evaluate the given line integral. I (y, –x) · dR, where C consists of 4y = x² from (-2, 1) to %3D C…

A: Line integration of the function

Q: The approximation of I = , cos(x³ - dx using composite Simpson's rule with n 3 is: 3.25498 None of…

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Q: Given the following function. 1, -1<x< 0 f(x) = x = 0 on [-1,1] X , 0 <x<1 (ii) Find the Fourier…

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Q: Consider the lines x = -1+ 2s 3 l1 : 2 and l2 : y = s 4 %3D z = 5+ s а. Find the coordinates of the…

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