Romberg integration for approximating S, f(x)dx gives R21 then f (1) = = 5 and R22 = 3 %3D %3D %3D 4.01 3.815 O This option O This option 1.68 -0.5 This option This option

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…

Q: 1. Evaluate the given line integral, I (-y,x – y) · dR, where C is the upper part of 4.x? + 9y? = 36…

A: we have to find the line integral  ∫C-y,x-y.dR→ where c is part of the ellipse 4x2+9y2=36 from…

Q: 1. Consider the function g(x, y) = cos(xy) + sin(x – 2y) (a) Determine g (c) Determine (c) What is…

A: Given function is  g(x,y)=cos(xy)+sin(x-2y) we have to find the second order partial derivatives…

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Q: 5. Choose ONE strategy shown in class to verify that the vectors: = (1.3, -1).5, = (2.1,1)and i, =…

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Q: Let L:R -R be the linear transformation defined by Find a basis for ker L.

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Q: Clarify that f f :(0,1) →R defined by f(x): not uniformly continuous. =-

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Q: The radius of the circle with the given equation x2 + y? - 14x + 4 y = 11 is 8 10 11 18

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Q: r = 2sin2φ and outside the circumference r=1

A: Area under polar curve.

Q: 3. C=Z+, (a*b) = ([max(a,b)]/8) + 3 %3D

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Q: K/29° N

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Q: Solve by the Laplace transform, showing the details and graphing the solution: 1. y" + 4y' + 5y =…

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Q: dy Solve x da + 5y = x sin (ax2)

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Q: .1) The general solution of the equation y" + y =-5e- , is: - y(x) = Ce-* + ez(Acosx + Bsinx) -e-* O…

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Q: Given f(x) = |x| for x € [-n,1]| Show that cos(2n – 1)x |x| 2 \xl = -- - (2n – 1)2 n=1 2.

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Q: Caleulate the cosine of the P,Q the heading and between whe internalbeatings Pz (R) A OPEX)=2.

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Q: (b) 352+5s+1 (d) 3 (c) 5s+2

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Q: Evaluate the guen X- pper pat f the cuike L'ty from "(-1,0) parabala. to (,0) and the m (i,0) to…

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Q: 3. Express (j-3)° in rectangular form. 4. Express (-2/3 + j2) in rectangular form. (j4 +43)(2cjs…

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Q: the ratio of the major axis to the minor axis of ellipse 9x^2+4y^2-24y-72x-144=0 is

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Q: Derive the solution for temperature in terms of position and time for the following situation: A…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: dy Solve x dr + 5y = x sin (ax?)

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Q: Q.15) The solution of y" + y' = 0 by using power series method, is: %D a) y(x) = ao + a, (1- x2 %3D…

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Q: • The intersection of D with the ry-plane is the region bounded by the cardioid with the equation r…

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Q: Y3D8 e -0.3t cost

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Q: (b) Determine the proportion of matches in which Tallygaroopna scored between at least 120 but less…

A: The proportion of matches in which Tallygaroopna scored between at least 120 but less than 180…

Q: The eccentricity of an ellipse with the equation 16x? +9 y + 32 x – 128 = 0 is 0.53 0.66 0.82 0.93

A: We have to find the eccentricity of the ellipse  16x^2+9y^2+32x-128=0

Q: fn : [0, 1] → R, f„(x)= dt 1+t Show that for every x E [0, 1], this equality takes place: x2 In(1+…

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Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is O…

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Q: 1. Evaluate the given line integral, / (x – y, y) · dŘ, where C is the left part of x² + y² = 1 from…

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

Q: - Consider the function g defined by 1 g(x, y) = sin 2 log3 (x – y) 1. Calculate the instantaneous…

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Q: Let z1 and z2 denote complex numbers. Show that (z, z2)= z,72 defines an inner product, which yields…

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Q: 7. G=Z+, (a*b) = |min(a,b)l/a 8. H= Q+, (a*b) = (a+b) + 10 *wh %3! %3!

A: This is not closed , because Take a=2, b=1 Then a*b= 1/2 and this does to belongs to Z+ Therefore it…

Q: 5. How many distinct factors do the following have? (a) 1000100. (b) 7ª11*13°; a, b e N. 6. At a…

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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…

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Q: 1. Determine the eigenvalues and the eigenvectors of the matrices -1 -1 1 a. C. -4 2 4 -1 1

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Q: Find the g.c.d. in Z[i]  of 2 and 3+5i.

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Q: Rewrite the series m=3 am x+1 -x Lm=1amx+3 as a single power series whose general term involves xm.…

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Q: (i) Sketch an odd periodic function of period 8. f(L) = 4 – L, 0 SL< 4 Find the Fourier Sine series…

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Q: 1. A brine solution of salt flows at a constant rate of 4 L/min into a large tank that initially…

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Q: use an integrating factor to solve the given differential equation dy 2 2 + Зx у — х dx

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Q: Evaluate the given line integral. | (y, -x) · dR, where C consists of the uppder part of x2 + y? = 1…

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Q: Calculate the radian equivalent of the unshaded portion. 45°

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Q: How may inscribed angles are there in the figure? A B 5 3 1 2 4

A: We have to answer following Questions.

Q: Use (a) Fixed Point Iteration method (b) Newton-Rhapson method and (c) Secant Method to find the…

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

Q: UseThe Culerwe method's Sove the: dy %3D xCi+メ)。 y(0)=3,h=0.2

A: This is a problem of Numerical Analysis.

Q: Solve [a – y cot ()) dæ + a cot () dy = 0 ; y (5) = 1

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Q: 1. x"(t) – 4x'(t) + 4x(t) = 4e²* ; x(0) = -1, x'(0) = -4 %3D

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Q: Solve (x + 3y – + y? sin (x)) dx + (3x – 2ycos (x) + e' In In) dy = 0; y (1) = 0 - -

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