5r² – 3)| -6,80 n=3 with Simpson's 3/8 rule. Find the approximate solution for

Q: Q5/ Show that the following IVP has a unique solution and find the exact solution: 2 y'(t) = y +…

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Q: is the b(20,0.1), find approximate value of P(12SXs 14). using the Poisson approximation

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Q: 5) Find the general solution by using reduction of order method to t?y" – ty' – 3y = 0 given that…

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Q: (d) Find the error estimates |R3(0.5)| and |R3(-0.5)| given by the Taylor's remainder. N+(E) (N +…

A: The Taylor's theorem is used to approximate the values of the function. The function is expanded…

Q: 222-10x +r is devided by (xt2), the remaindler e same as when it is divided by lar+3). of to

A: The given question is solved below.

Q: 1. The number of bacteria in thousands in a refrigerated food is given by N(t) = 20t – 20t + 120 for…

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Q: Q5: Find the solution of the following D.Es: 1- x + 5y = x7 at x = +5y 2- y" + 4y + 2y = 13e³x 2, y…

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Q: Q3:B. Find the convolution between the signals h[n] and x[n] shown in Figure below using analytical…

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Q: The number of computers N (t) (in millions) infected by a computer virus can be approximated by 2.4…

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Q: Q2: Using the fixed point iteration method to find a root in [0,1] for f(x)=4x2+2x-1=O, * E=0.005

A: Question: Objective is to find a root of the equation fx=4x2+2x-1=0 by the fixed point iteration…

Q: 5- Find L-1 5² (s²+4)² by using Convolution theorem.

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Q: Q4 / Using the fixed-point iteration, determine the root of the function -x2 + 1.8x + 2.5 0, using…

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Q: How does h(n) = n2 / 2n behave for large whole-number values of n? Does h(n) tend to infinity?

A: Consider the function:      hn=n22n Determine end behavior for the large whole number value of n.

Q: The number of computers N (t) (in millions) infected by a computer virus can be approximated by 2.2…

A:

Q: a. Use the Bi-section method, to approximate v2 in three steps in the interval (1,2| (use 3 digits…

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Q: Find a general solution to the DE (D^2 + D - 6) y = 5e^2t by using the Reduction of order

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Q: Find the general solution of y' + ny = emx for all m, n. Note: The case m = −n must be treated…

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Q: 3t Q3) Verify that -e-3t e 3t are solution for re-3t 3t 1 e-3t -2 21 2 X on (-0, ∞). 2 X': -2 1 2 1

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Q: O we N. P.M. to estimate the root of -X for on initial guess of Xo

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Q: Q3: Find the solution of x.y and z by using Gramer's Rule 2x 4y = 6 x+y+z 1 5y +72 10

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Q: Q(2): Find the general solution of x³y" – 3x²y" + 6ry' – by = xª In x. %3D

A:

Q: Since a certain virus has been contained in Wakanda, researchers has proven that it will be…

A: The number of infected citizens, p thousand, after t weeks is given by…

Q: x²cos(x) dx using the composite Trapezoidal rule with n=4. Approximate the integral O-13.2328…

A: The composite trapezoidal rule is used to find an approximation of the integral by dividing the…

Q: Q(4) Find the general solution of dy =(r- y+ 5). dr

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Q: Find a general solution to the DE (D^2 + D – 6) y = 5e^2t by using the Reduction of order

A: If you have any doubts in the solution please ask me  in comments i will reply you as soon as…

Q: Q3: Find the root of ex + x² - 20 = 0 using the Regula Falsi or false position method. Assume the…

A: The given equation is ex+x2-20=0 To find: the root between 1 and 3.

Q: Find length of the cardioid r=a0³from 0 = 0 to 0 = n %3D

A: Length of the cadioid is given by below formulaLength = ∫0πaθ3dθ

Q: Q: Examine y (o.4), Using Runge - Kutta Order 4 method if X = 4n + 2

A: Given y′=4x2+2y,      y(0)=1,   h=0.1,   we have to find y(0.4).Forth order R-K…

Q: - The population, P (in thousands), of a town can be modeled by P= 2t – 5 +6, where t = 0 represents…

A: To find: The two years in which the population of town is 12000. Given: The population is modeled…

Q: Px+5 N 49 If AJKL ANMP, find the value of x. x- 7. 9x +1

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Q: Solve a0 = 1, and an = 3an−1, for n ≥ 1 using the characteristic equation method.

A: We will start with the trial solution, an = rn to find the characteristic equation.

Q: Solve X(n) of the given X(2) using the 3 methods X(2) = Ito. 32 + 0.52 :- It 0-8 2+ 0.152

A: In this method we obtain inverse z-transform  by summing residues of [x(z)zn-1] at all poles. Here…

Q: C. By choosing a1=0.25, the formula of second order Runge-Kutta method can be written as:

A: The Runge Kutta method is used to solve the ordinary differential equations. The second-order method…

Q: nt Find the solution of y" +10y + 9y = 80 e" with y(0) = 7 and y (0) = 5. y =

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Q: (d) Find the error estimates R3(0.5)| and |R(-0.5) given by the Taylor's remainder. RN(2) (N +1(-…

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Q: Determine the particular solution for (m-n)dm+(3m+n)dy=0 when m=1/2 and n=-2.

A: Given,  (m-n)dm+(3m+n)dn=0 And when m=1/2 and n=-2

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Q: A ball is thrown vertically and it's height above the ground is given by s(t)=1.2 +28.1t - 4.9t.…

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Q: R(Z) = 22212 S2)ク りェ Find. (ROR)( (Sos) (2)

A: Given function                                                 Rz=2z2+2 and Sz=3z…

Q: Q4 Legendra polmomial Pe (X) =2 + (3x+1) than Prove that (2u+1) Puck) =Pmnil (X) -P(X) n-1

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Q: If two resistors with respective resistance R1 and R2 are hooked up in parallel, the net resistance…

A: Consider the formula for net resistance: 1R=1R1+1R2 We have, R1=150 and R2=400 Therefore net…

Q: How does h(n) = n2 /2n behave for large whole-number values of n? Does h(n) tend to infinity?

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Q: 3 (a) Given that T= 2n12g , express I in terms of T, g and n. %3D

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Q: he general solution to an IVP is y = k exp(-2t)+2. Find the value of k needed for it o satisfy the…

A: As y(0) =10 Then t=0 and y=10 10=k exp(-2(0)) +2 10=k(1) +2 10-2=k

Q: Find two consecutive integers m and n such that a solution to f(x)=0 is in the interval (m, n),…

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Q: his problem to find out. k Hioshi found that of his class prefers vanilla ice cream, 26% prefers…

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Q: Solve for nif n Py=60(nc)

A: We know that nP4 = n!/(n-r)! nCr = n!/(r!(n-r)!)

Q: eAt = I + At + A²2 + + 2! k! k=0 o compute eAt and e-At (; ) 1 A = 0 2 eAt = e-At Need Help? Read It

A: Given, eAt=I+At+A2t22+...+Aktkk!=∑k=0∞Aktkk! A=1002A2=10021002=120022⋮Ak=1002⋯1002=1k002k

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.