In Numerical analysis, explain and solve a sum using Curve Fitting clearly with every step, and formulae using Excel (Attach the screenshot).

Q: 1. Let k> 0 be a given number. Consider the solid bounded above x² + y²+z² = 2k² and bounded below…

A: The given problem is to set up an double integral in Cartesian coordinates that gives the volume of…

Q: Solve by the Lapace Transform: y(t) + 4 y(T) (t - 7)dt = 2t [₁ dT

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Q: Q4// choose the correct answer : 1) find the approximate solution x3 using N-R method for the…

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Q: Q3\ using Euler method, find an approximate value of y corresponding to X€ [0 -0.7], Given = x(x +…

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Q: a) Show that the fourth-order Runge-Kutta method, k₁ = hf (ti, wi), h k₁ k₂= hfti+ Wi + 1/12) 2' h…

A: Given:  k1=hfti, wik2=hfti+h2, wi+k12k3=hfti+h2, wi+k22k4=hfti+h, wi+k3 and wi+1=wi+16k1+2k2+2k3+k4…

Q: f(x)=sin(x) is of order 1.

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Q: Q3 using Euler method, find an approximate value of y corresponding to xe [0 - 0.7], dy Given = x(x…

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Q: The volume of the solid obtained by revolving the region bounded by the curve y = x - x² and the…

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Q: I F. dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = (x + y2)i + (y +…

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Q: d) Give a formula for the coefficient of ak in the expansion of where k E Z. 100

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Q: E -+6x=0 +12d²y dt² +16d²y +6y=0 sa dt² dt2 7 Subject to x=y=1, 5d²x dt² dx y=1,= 0 and dt dy = 0 at…

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Q: (9xi – 3yj ㅠ S x² + y² + 7² = 9 is 2

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Q: 3)If X(z)= 2²-0-5z z²+0-75z+ b) X(n) = [4"-3"]u(n) c)) X(n) = [4¹-3"]u(n) . † 4) If X(2)(z-30)(2-40)…

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Q: Find the residue of 3 Z 2 z² - 1 at z→ ∞0.

A: We have to find the solution of the given problem.

Q: The particular integral of the difference equation Yn+3 - 6yn+2 + 12Yn+18Yn = 3n is

A: We have to find Particular Solution of given difference equation yn+3 - 6yn+2  +12yn+1 - 8yn  = 3n.

Q: (k) x dx + y dy = 0 Oseparable exact O linear in x O linear in y (1) homogeneous Bernoulli in x…

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Q: Show all your work to receive full credit. Write your answers as complete sentences. 1. Use the…

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Q: :y= x,y = 2x2 − 3x

A: To find centroid we need to find area bounded A between curves  then centroid x =∫abx×fxdxAy…

Q: =-(-₁ 0 Given that A = 100 = a) eAt - Akt k! b) PDP-1 Method ; c) Laplace Transform. 0 , compute eAt…

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Q: Let CR be the space of all continuous and bounded functions x(t) on R with norm ||x|| = supR |x(t)|.…

A: As per the question we are given a normed space over the field CR and an operator A such that :…

Q: التاريخ | | 3 1 오구니 -2 M= -3 * A = M+N *B=A-M *E = A*B = F = Transpse E G 7 4 6 9 2 Multiply F by 3…

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Q: Find for the function y = cos² 3X + √Sin x dy dx

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Q: F ((p -> q) v (q -> r) -> (p -> r)) Say if it is tautology, contradiction or contingency

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Q: Calculate the Fourier series: a. x(t) = sin (wot + 60°)

A: As per our guidelines we are supposed to solve only one problem. For the solution of the first…

Q: Solving the following problem using Fourier transformation method. du d²u = 0, (t>0,-∞0< x <∞0) Ət…

A: We have to find the value of u(x,t)  by using Fourier transform the process is given below

Q: Show that the following equation has a solution on (4,8). 2-53 sin()

A: To Show: The equation 2x-5=3 sinπ x8 has a solution on (4, 8).

Q: 1) Using Laplace transform methods, solve for t20 the following simultaneous differential equations…

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Q: If f has a simple pole at zo and g is analytic at zo, show that Res (fg, z = 20) = g(zo) Res (f, z =…

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Q: || S 37 I+zx/ xp x

A: the given integral is ∫xdxx2+13 substitute  x2+1=u2xdx=duxdx=du2 therefore the given integral…

Q: Let f(x)=√x-x and P2(x) be the interpolation polynomial on x=0, x, and xy 1. Find the largest value…

A: Given f(x)=x-x2 and P2(x)is the interpolation polynomial on x0=0, x1, x2=1   To Find: The largest…

Q: 1 Solve by using power series: 2 y'-y = cosh(x). Find the recurrence relation and compute the first…

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Q: Propose a partial order on a non-empty finite set so that it has 3 maximal elements and two minimal…

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Q: How we can obtain the numerical solution of the nonlinear boundary value problem y" = y²y', 0≤t≤1…

A: Given y''=y2y', 0≤t≤1y0=0, y1=0 and t0=0, t1, t2, t3, t4, t5=1

Q: A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Pure water is then…

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Q: (a) i. Determine the bilinear transformation that maps the points 1 - 2i, 2 + i ,2 + 3i respectively…

A: Solution a: (1) Let z1=1-2i, z2=2+i, z3=2+3i and w1=2+2i, w2=1+3i, w3=4 Since bilinear…

Q: Construct a finite state machine that models a vending machine accepting only quarters that…

A: The inputs are quarters and button. The outputs are nothing, orange juice and a quarter. The machine…

Q: Graph the following function and then find the specified limits. When necessary, state that the…

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Q: Find the volume generated by revolving the plane area generated by the equations y = ex^2, y=0, and…

A: To find the volume of solid formed when the region bounded by y=e-x2, y=0 and  x=0  about the…

Q: For the following finite-state machine create the associated state table: 1,0 $1 0,0 Start So 1,1…

A: The starting state is s0.

Q: In this problem, xc, cos(t) + c, sin(t) is a two-parameter family of solutions of the second-order…

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Q: Q6) Use Gauss- Jordan Elimination method to solve the following linear equations. 2X + 2Y = 2…

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Q: Q2\ Solve by picard method (up to four approximation) y' + y = e* and y(0)=0 Find y(0.1)?

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Q: Find the equation of the line L2, pass through the point (2,-1) that is parallel to the line L1…

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Q: R: x = 2y-y², y - axis

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Q: 2 49) Given nonempty subsets of R², say Y....., let Y = nin enner-xer Fix P E R². For a nonempty…

A: Given: Non empty subset To find: Solution

Q: 3 Q4) Suppose a class contains girls, and boys. Suppose that 40% of the girls have long hair, and…

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Q: Q1- Choose or branch ( A-find the optimum values of X₁, X2, and X3 3X1 +2X2-X₁ = 1 2X1-2X2-4X3=2…

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Q: Find the Fourier seris of with a period of T = 1. f(t) = 2t + NI -1 0 1 Figure 1: Diagram of f(t)…

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Q: What is the third step made in constructing an angle that is congruent to another angle?

A: claim- to find what is the third step made in constructing an angle that is congruent to another…

Q: 1. Find area using the definition of area as a limit along with x as the midpoint of each…

A: Please see the attachment