1. Determine the volume of a solid of revolution generated by rotating around the x-axis the region bounded by the straight lines 3y - x - 3 = o, x = 0, x = 12 and the abscissa axis.

Q: 2- Sin(x) dy dx ty Cosx Ex Sinh

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Q: H.W: Estimate the root of the equation for the following equation usind Newton- Raphson method: 11…

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A: Dear Student,"Since you have posted a question with multiple sub-parts, we will solve the first…

Q: 4. Suppose A € Mn,n (R) and A³ = A. Show that the the only possible eigenvalues of A are λ = 0, λ =…

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Q: variation equation, and use it to solv er tubing varies jointly with the leng ameter tubing costs…

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Q: (b) Consider an object of mass m, dropped from some initial height and falling down towards Earth's…

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Q: 39. Using this piecewise function, calculate the cost of someone who used 1,280.25 minutes last…

A: Here given function as fx=45when x≤80045+0.25x-800when x>800 and x is an…

Q: Practice Question 8: Consider the series Σα-Σ 2" 3" +1 n=1 (a) Show that the series a, converges by…

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Q: Limits involving infinity 1. Use graph to find the lim f(x) and lim f(x) of the following function…

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Q: 2. Find the inverse Laplace Transform of the following left-sided signals s². ²+2s +3 a. X(s)= S 6s²…

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Q: Find the value of x. 40 5x-2 55 x = [? ] 6x+6

A: Parallel lines separate the transversals into same proportions. So,  4055=5x-26x+6

Q: 9. Let f be a continuous real-valued function on (a,b), 8 €R[a, b] with g(x) = 0 for all x E (a. b).…

A: Given- Let f be a continuous real-valued function on a, b, g ∈ Ra, b with gx ≥ 0 for all x ∈ a, b.…

Q: 7) FIND THE THE FIRST COLUMN OF THE INVERSE USING FACTORIZATION (ROW wwwww OPERATIONS) 1 13 -1 3 1…

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A: Consider: ∫0π11+2 sin2x dx Now,  tanx =sinxcosx⇒sinx =tanx cosx⇒sinx =tanxsec x So, ∫0π11+2 sin2x…

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Q: Identify and classify the constrained maxima and minima of f (x) = xyz, subject to the constraints…

A: Solution : f(x)=xyz Constraints: x2-y2-z=0x2+y2-z=8 by solving constraints, z=0.5x2-4y=±4 Taking…

Q: Numerical Integration: 2 1 ² 1. =dx Jo √x

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A: Given series are ,                                          ∑n=1∞-1n+1nxn  and   ∑n=1∞13nn2xn  Note…

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Q: Find. y sinx2 = sinx + 2! ale y ² sinx4 + 3! + sinx6 4! + ... *** *** sinx2(n-1) n!

A: As per the question we are given an partial sum involving sin(x) and we have to solve for its closed…

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A: Given: Graph with 4 vertices and 4 edges. To find: Incidence matrix

Q: 10. (a) Find two lines that are parallel to the plane (x, y, z) = (1, 0, 2) +t₁ (1, 2, 3) + t₂(4, 5,…

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Q: ind the complete Fourier Series of f(x) = { 4 if (-2 < x < 0) if (0 < x < 2)

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Q: Use Simpson's Rule with n = 4 to evaluate [² (t³ + t) dt

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Q: Let Q(x) = 4+2). Give a step-by-step - proof that _lim Q(x) = -1. Start by stating the appropriate…

A: Given: Qx=4x+2x2-4 We need to show limx→-24x+2x2-4 by ε-δ method

Q: T et dt, find F(1) and F'(x). ez 1. If F(x) =

A: Given that                        F(x)=∫exeet2dt To answer the given question we shall use the…

Q: 1. For each equation, first find the general form of the solution, and then apply the given Cauchy…

A: Note: As per our guidelines we will solve only first question. If you want any specific question to…