√3. (2√27 + √12)

Q: Q4) Find plane area inside the polar function r 2 and outside polar function r=2 sin ( +e) in second…

A:

Q: To test the series for convergence, you can use the P-test. (You could also use the Integral Test,…

A: Note:P-test:The series ∑n=1∞1np is:1) convergent when p>12) divergent when p≤1

Q: Q3) Evaluate triple integral , dz dy dx.

A: Q2)

Q: Q: find area inside r=2cose and outsider 1?

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Q: Solve the following equation by (Finite Difference Method), choose (h= 0.5) d?y + 2y = 3 ,y (0) = 0,…

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Q: Q1) Evaluate the integral S dx dy using polar coordinate y 2-y

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Q: Q1) Evaluate the integral S dy dx using polar coordinate

A: We have convert the given problem into polar coordinates.

Q: Q5) Find volume of body bounded by z = O from below and z = 4 – y from above inside y = x2,y = 4 .

A:

Q: B. Evaluate the following хе xe-4xdx 5.

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Q: Evaluate the integral dx dy using polar coordinate

A: To find the integral using polar coordinates, first we identify the region bounded by the limits of…

Q: Q4) Find plane area inside polar function r 2 and outside polar function r= -2sine in third quarter.

A:

Q: Q3: Use the Bisection method to find the smallest root of the function: f(x)=1-3X+0.5Xe* with…

A: Follow the python script.

Q: 1. Let V be the region between the two spheres x2 + y? + 22 x2 + y? + 22 = 2 for z > 0. Let S be the…

A: The solution is below.

Q: Q1) Evaluate the integral Sdy dx using polar coordinate

A:

Q: Find constant 3x 1 vectors u and uz such that the solution of the initial value problem 2 -4 -3 x' =…

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Q: Evaluate the following integral using Trigonometric Substitutions Method dx y = 9x2 + 16

A:

Q: The approximation of f, xin(x + 3) dx using two points Gaussian quadrature formula is:

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Q: Q2) Solve the D.E dy – (2x/1– y²)dx = 0

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Q: QI) Evaluate the integral dx dy using polar coordinate

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Q: Q2) Solve the D.E xy(x² + 1)dy – (y² + 1)dx = 0 %3D

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Q: A continuous random variable X has the distribution function F(x) = 0 if x 3 The value of k is

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Q: 15 2 Suppose that G- is the Leslie Matrix of a population with two age groups. a (a) For which value…

A:

Q: Q3) Evaluate triple integral f, dz dy dx.

A:

Q: Solve the following IVPS using LT method. y" – 2y' + y = 8(t – 1) y(0) = 3, y'(0) = -4. |

A:

Q: A cylindrical steam broiler is to be constructed having a capacity of 1000 cu.m. The material for…

A:

Q: (2) Solve the given differential equations by Using an appropriate substitu- tion (i) 2y +r + y? +…

A: solve the given differential equations by using an appropriate substitution (i) 2y'+x2+y2+x=0 (ii)…

Q: Q2/ Fit a second - order polynomial to the data in the following table: 5 1 4 2 9 Y 8. 4 -1 8 4 6 6…

A:

Q: A card is drawn from a well-shuffled deck of cards. Find the probability of drawing a heart

A: We have to find the probability of heart in deck of cards.

Q: 1.: Reword the statement below as a theorem about graphs and then prove it. Assume that if A is a…

A:

Q: 3. Prove F (Vr)(A→ B) → (Vx)A → (Vx)B. ->

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Q: 5) Find volume of body bounded by z = 0 from below and z = 4- y from above inside y = x ,y 4.

A:

Q: For each problem, use a left-hand Riemann sum to approximate the integral based off of the values in…

A: We can solve this using formula of left Riemann sum

Q: The series converge to n=1 (a)e (b) e – e? (c) – e (d) e – 1 (e) None

A:

Q: 2. Let f : [a, b] R be a bounded function. Prove that if f is continuous at ro € [a, b), then L(|f])…

A: Here we use the property of continuty.

Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9 2…

A:

Q: The value of Ss (x + z) dy dz + (y + z) dx dz + (x + y) dx dy, Where 's' is the surface of sphere…

A: Here we can use divergence theorem to find the value of the given surface integral. Divergence…

Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) +2y 3 ,y (0) = 0,…

A:

Q: Find plane area inside the polar function r = 2 and outside polar function r = 2 sin ( + 0) in…

A: Area using polar coordinates is given by A=∫∫A r dr dθ

Q: O Find plane area inside the polar function r = 2 and outside polar function r = 2 sin (+ 0) in…

A:

Q: 23) Evaluate triple integral S dz dy dx. x-y

A: Given integral is ∫02∫x22∫x-yx+ydzdydx

Q: 8.(a) Find the Fourier transform for the function cos x, -n/2 7/2 f(x) = 0, (b) Use the result in…

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Q: Consider the following two ordered bases of R?: {{1, –1), (-2, 3)}, {(-1, –2), (1, 3)}. B a. Find…

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Q: Q4) Find plane area inside polar function r = 2 and outside polar function r = -2sine in third…

A:

Q: Q1. By using cubic approximation of Langrange Interpolation, approximate f(7.65) based on the…

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Q: 1 2 If D = 2 -1 0 3 , find and E 0 1 3 2 -1 13. DE 14. D4

A: Given matrices are D = 1201  and  E = 2-103032-1

Q: Find the Maclaurin series for f(x) and use it to approximate the integral 1+ x3 correct to 4 decimal…

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Q: Q2/ Fit a second - order polynomial tó thẻ đấtă iñ the folowing ble X 6. 1 2 7 Y 8 3 4 -1 4 6.

A:

Q: Q1) Evaluate the following integral using Partial Fractions Method: x3 + x2 dx x2 + x – 2

A: Indefinite integral

Q: |I+ sin? 0 2. Cos? 0 4 Sin 20 Sin?0 一t Cos 0 · 4 Sin 20 %3D Sin 20 Cos20 I tA sin 20 KIKY

A:

Q: O Prove that G(Vatienal number bers)is negrigibleset

A: