Sheet 3 Numerical analysis QI/ Use the polynomial that fits data shown by Newton divided difference ,and estimate f(2). Ans. 6 -1 1. f(1) -21 15 12 3

Q: Question 1 Let y be the solution of the Bernoulli differential equation dy yx =y +x*, x >0, y > 0,…

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Q: dy y dx 2x = 3y2 – 2 when y = 1 and x = 1 in terms of x. %3D - -

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Q: If che truch value of A v B is true, chen trudch value of -A A B can be True if A is false False if…

A: 1. Let A is false and B is true. then ~A = True So ~A∧B is true. Hence Answer: True if A is false.

Q: Determine whether the improper integral converges or diverges. If converges, find the value. In x?dx

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Q: Five Computer Programmers have been told by their company Computer and Information Technology…

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

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Q: Problem 3 Using Centroid by Integration, determine the x- and y-coordinates of the centroid of the…

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Q: Draw a contour map of the function showing several level curves. f(x y) = y/(x^2 + y^2)

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Q: Verify if the resulting series of constant terms when x = 0 is absolutely convergent, conditionally…

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Q: * = y +z- 4x Solve: dt = x+ 5y - z # = y - 3z

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Q: L' {35+ 25 S - 1 s2- 8s + 25

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Q: Let A = ⟨1, 0, 2⟩ and B = ⟨6, −2, 3⟩. Solve for projAB. Then, find the angle between projAB and B

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Q: cos(b) = >. Σ (-1)" b2m for all b e R (2m)! m=0 Given the integral of cos² x dx, express it as…

A: Given that,Cosb=∑m=0+∞-1m2m!b2m for all b∈ℝTo find: ∫01cos2xdx  in terms of a series of constant…

Q: Evaluate the following sum of iterated double integrals: -2у 2 •4–2y dr dy + | dx dy 0.

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Q: (x -2) Given : an? + 4 (1.) Show that the reries converges conditionally when x - 1 ( 2.) Find the…

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Q: y 2 -2 °I 2 4

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Q: Let an ,n 2 1 In(2" + 1) divergent Determine if the sequence {an}n=1 is convergent or

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Q: Consider the following initial value problem, in which an input of large amplitude and short…

A: Inverse Laplace transferom

Q: Graph the solution set of the following linear inequality: 14? + 13 < −14? + 13

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Q: Find the area of the region that lies inside the curve r= 3cos0 and outside r= 1 + cos0. Show All…

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Q: Find the general solution to the system of eguations d/ dt = Ax, where the matrix A is as follows:…

A: Given differential equation is dxdt = Ax where A = -4130 Let x = x1x2

Q: A mass on a spring undergoes an external forced vibration given by 6 d'x =-12x+3cos(2at). 32 dt?…

A: In a mass spring system the resonance occurs if the angular frequency and the natural frequency are…

Q: Use double integral polar coordinates to find the area of the portion of the surface 3z = xy that…

A: Surface are of the surface z=fx,y is given by S=∫∫A 1+zx2+zy2 dA where A is the projection of the…

Q: Consider the power series > 22n (2x – 1)". Vn2 +1 n=1 Use alternating series test to show that the…

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Q: A. Proposition or NOT Directions: Determine whether each of the following statements is a…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: 1. Detailed figure showing all flowrates, initial conditions and concentrations of each tank. 2. An…

A: Let the amount of salt in tank A and tank B at time t is x  and   y. Given information is Initially,…

Q: Question 2, Let x(t) be a differentiable function defined on (-1,00) satisfying the following…

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Q: 22n Consider the power series >) (2x Vn² + 1 1)" - Determine the largest interval for which the…

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Q: Consider (u, v) = 0 for any vectors u, v e R4. Is this an inner product? Explain why or why not. %3D

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Q: Question Consider Kepler's equation regarding planetary orbits, given as M = E – e sin(E), where M…

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Q: Dete‎rmine if f (x, y) = ={(xsi‎n3y)/(x‎2+y6), (x, ‎y) ≠ (0, ‎0) ={1, (x, y) = (0, 0) is‎…

A: We will check limit along different paths. If limit along Every path is Same as value of function…

Q: Consider the function g(x, y) = x³ – 4x + ye" – In y. a. Find all critical points of g. At each…

A: We have to find Critical Points and partial derivative using chain rule.

Q: What are the future value and the interest earned if $4000 is invested for 7 years at 8% compounded…

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Q: II. Consider the sequence (n + 2)! n=1 a.) Show that the given sequence is monotone. b.) Use the…

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Q: +00 S (4 – x)" /n+ 5 9n · 7n n=1

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Q: c) Using the ower trianguler methed Kü)Using the upper frimgular methed elve; ース 2

A: The given augmented matrix is                             21111-212-18-22

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A: B is not the ancestor of J so first option incorrect C is the child of B therefore the second option…

Q: Integrate the fallswingfuntinne aver the given regionr s R: the circle x+y=t and y=x? thiss

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Q: Σ (-1)"(n + 1)n² (2n)! -2n+1 — — п n=0

A: Find a power series representation for x2cos(2x).

Q: (5 – 4(In n)³)" (3 · In n)3n n=2

A: Solution

Q: Let [7 -37 A = -4 -1 -6 -2 7 -7 a Define the linear transformation T : R³ → R³ by T(ã) = Aã. Find…

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Q: 00 (4-x)"· /n+5 9n · 7" n=1

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Q: In(z2) dz Is the improper integral convergent or divergent? Solve for its value.

A: So, we will solve this integral using by-parts formula Integral I = ∫-10ln(z2) dz We can write this…

Q: Consider the differential equation xy - (1+ 3x)y + 3y = 0 If we know that the solution for this…

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Q: For all x E R, e* = St0 п! A. Find the third-degree Maclaurin polynomial of f. e10 B. Use (II) to…

A: We have to approximate e1/10/100.

Q: Evaluate the Inverse Laplace Transform F(S)=T51)² -2

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Q: Use AMNP, as needed, to complete the given parts. Part 1: Let h be the height of AMNP. Find the…

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Q: 4. Find the exact length of the curve. Show All Work and Give Answer In Simplest Form. 2. r = cos´…

A: Arc length of the polar curve

Q: (-1)"x2n (2n)! COS X = for all x E R. n=0 1. Let f(x) = cos(/x). Determine the power series…

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Engineering Drawing

Technical drawing has been around since ancient times. As in the ancient Renaissance, complicated drawings were created, including Leonardo da Vinci's drawing. Modern engineering drawing, including its specific orthographic projection with scale conventions, began in Europe (France) during the early stages of Industrialization. L.T. C. Rolt also made some of Marc's drawings for its block-making machinery (in 1799) that also may have contributed significantly to British engineering technology. Since he learned the art of presenting three-dimensional(3D) items in a two-dimensional(2D) plane, as we now term mechanical drawing.