Determine if the following improper integral is convergent ог I'si sin(1/2) dr divergent...

Q: Set A = {200, 400, 600} and Set B = {100, 300, 500, 700}.Determine the elements in A ∩ B'.    { }…

A: Please find the below attachment.Explanation:Step 1: Step 2: Step 3: Step 4:

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Q: 3. Solve the following differential equation: +32 + 2x = t where x(0) = 1, (0) = 0. (For the…

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Q: 2. From the following table of values of f(x) = sinh x find f'(1.4) using: х 1.3 1.4 1.5 1.6 1.2…

A: A step-wise solution is given below.Explanation:                    Step 1:Based on these…

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A: The objective of this question is to determine whether the given improper integral is convergent or…

Q: The quadrature rule [“ f(x)dx = w₁ f(x1) + w2f(x2) + E (2) -h can be made exact for all cubic…

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Q: Please Solve this Question using manual solution Thank you

A: 1) option D2) Option A3) Option D4) Option AExplanation:Step 1: Step 2: 2)Step 3: 3)Step 4: 4)

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Q: Show that if G has no even cycles, then each block of G is either K1 or K2 or an odd cycle.

A: A thorough explanation is provided below.   Explanation:

Q: Calculate the numbers a,b and c, knowing that the line (y=2x-3) is an oblique asymptote of the…

A: For the function  the oblique asymptote is We have to find the value of  and

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Q: 2. xy' = (y−x)³ + y { 1 = C (y-x)² x² - -1

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Q: Consider a large vat containing sugar water that is to be made into soft drinks (see figure below).…

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Q: - Use the graph of f (x) below to find a number 5 such that If (x) - 0.25| < 0.1 whenever 0 < | x -…

A: We have given,

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A: Therefore, the radius of convergence of the taylor series is infinite.Explanation:Step 1: Step 2:…

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Q: -(4x-8y³) iii) (5x+4y) dx = −(4x − 8y³) dy - iv) x dx + (y 2x) dy = 0

A: We have to solve the differential equation.

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Q: Is the following a basis for R3? Justify your answer. 0 3 2 1 -5 2 1 2 -3

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Q: find generating set for the null space of matrix A=[1,1,1;0,-1,-3;1,1,1;0,-2,-6]

A: If you have any questions please ask me comments sectionPls like this answer Explanation:

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Q: Question 5 Let G be a group. Let f : G→ G be given by f(x) = x¹. (a) If G is abelian, show that f is…

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Q: y" - 4y" - 5y = 0 d²y dy +8+16y=0 dx² dx

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Q: Q3) a) Evaluate x-23(3x) dr. b) Expand the following function in a Fourier Bessel series using…

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A: (a) Intensity at a depth of 3 m = 5.9 units  (b) Intensity at a depth of 5 m = 0.9 units…

Q: Consider the matrix 4 -1 1 -2 -3 A = 2 -2 2 2 4047 -1 3 -6 6 -4 -7 7 (a) Find a basis for the null…

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Q: 15. Prove the following. (a) lim√√n+1-√√)-0 (b) lim(√n²+1 − n) - (c) lim√√24 = 0 im (√n² + n − n ) =…

A: Answer- I have given hand written solution in the explanation box. Explanation:Step 1:Step 2: Step…

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Q: Let f(x) = √ sin t dt. t This is called the sine integral and is denoted Si(z). (a) Replace sin(t)…

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Q: Solve 2n +3 = 0 (mod 17).

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Q: Determine the Fourier transform of a signal with g(t) = At/B between t = 0 and t = B and g(t) = 0…

A: Fourier transform of the given signals have been calculated with detail explanation. If any doubt…