Using the forward difference and values of h=0.1, to approximate the derivative of cos(x) at f'(π/3). Also, find the absolute error. Use at least eight

Q: Find the particular solution to the differential equation: 2(y')² ( y" = 1- when +3) x = 0, y = 1…

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Q: dy Q2/ Use Euler's method to solve + 1.2y = 7e-0.3x from x = 0 to x = 2 with the initial dx…

A: The solution is given by using the Euler method with 4 decimal places as below.

Q: Q4(a) (b) Find the complete solution of p? +q2 =z, where p = ax Find the general solution of d²q dq…

A: This is a problem of the differential equation.

Q: 8. A frog is at the bottom of a ten feet well. Each day it crawls 2 feet and loses its grip and…

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Q: 1 Function on the interval (-3,3) and has n=5. Draw the graph. 2 x +1 Determine the approximate area…

A: By trapezoidal rule .∫abfxdx= Δx2​fx0 +2fx1+2fx2+2fx3+⋯+2fxn-1+fxn       where    Δx=b-an    By…

Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable…

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Q: Solve the following 2nd order OPEs (5 steps) 3 2 b. (x²-x) y - xy + y = 0, y(t) = 0.65, y(+₂) =0z,…

A: Let us solve the given 2nd - order ODE using Euler method in the next steps.

Q: in Column B. Column A 1. f(x-4)³dx 2. f(x + 1)³dx 3. f(x - 5)*dx 4. f(2x³-5) 6x²dx 5. f(x5 +1) 75x*…

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Q: Q1(a) A function y = f(x) is given by the following table of values. Make a harmonic analysis of the…

A: Given table, x 0 1 2 3 4 5 6 y 4 8 15 7 6 2 4   As we Know…

Q: 7) A can of soda with a temperature of 56 degrees Fahrenheit is placed in a refrigerator which is…

A: We have to find (a) What is the differential equation that models this problem.  and  b) Find time…

Q: (2) Use contour integration to compute the following integrals. 2π (a) √2 cos(20) dv 5 + 4 cos v dx…

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Q: 176. Gram-Schmidt. Use the Gram-Schmidt procedure to construct orthonormal bases for the subspaces…

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Q: Partial Differential Equations Tutorial sheet classify the following PDES :- 227 822 827 ● +2 =x+3y…

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Q: Equation: f(x) = 5cos(x) + sin(x) - 2sec(x) Tolerance: x10-5 Assume x = 0.5 (in radian)

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Q: By Separation of variables, Solve the follow PDES :- ²4 d²4 dt² =43 2 dx² •o u(e,t) = u(s, t) =6…

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Q: Solve the following differential equations : X 2y + v² 2x (x² + 5)² dx + (x+y)dy = 0

A: First we will check if the given differential equation is exactly if it is not exactly then we will…

Q: The polar curve r (0) = 1 - 2 cos(0) is graphed for 0 ≤ 0 ≤ T. Let R be the region in the third…

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Q: H:3: Expand the following function into its Fourier series : f(t) = cost & te [-π, π]

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Q: Find the complete solution of дz where p = x дz and qay pq = xy,.

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Q: Q4: Let X be a discrete random variable with probability mass function given in the following table:…

A: 1. Value of C For a discrete random variable X the sum of the probability mass functions is 1 That…

Q: Please answer with complete solution. The task is to answer the question below: Let A be the…

A: Here given as R→u, v=u, v, u2-v2 Now draw qudrilatral on uv plane, That is v≤u≤3 and 0≤v≤1 Also,…

Q: What is the perimeter of region R? Enter the exact answer as an expression involving radicals and T.

A: To determine the perimeter of the given region R.

Q: Find Domain and Range Sove all points without leavin ℗ x + y² + Z 2 X+ 4+=+/-5 +2Z 3 Sin(x+3y) +2…

A: Domain is the set of points where function is defined. And range is set of images of function.

Q: a € ¹ { x² + 0²² 8² + 6² } s2 [sen (3t+ 2u) + sen(8u - 3t)] du Applying the Convolution Theorem to…

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Q: given the linear transformation T: R³ → R² where T (ED) - (₂) T (D-3 (²) and 7(i) = (²). T Find the…

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Q: Use the inner product (p, q) = a b + a₁b₁ + a₂b₂ to find (p, q), ||pl|, |la||, and d(p, q) for the…

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Q: Provide the first 4 terms of the sequence {an} = n", where n ≥ 1 {an} 1 4 = 27 Question 2 What is…

A: The solutions to the given questions are given below

Q: Gaussian Elimination Equations: 3X1 - 2x2 + x3 = 4 2x1 - 5x3 = 1 -3x2 + x3 = -1

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Q: A mass of 1.25 kg stretches a spring 0.08 m. The mass is in a medium that exerts a viscous…

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Q: [ f(u)du=t-fe²f(u)du By solving the equation A) f(t) = 1² B) f(t) = 1/2 e2t C) f(t)= t 1+e2t D) f(t)…

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Q: A fireplace arch must be constructed in the shape of a semi-ellipse. The opening must be 60 cm high…

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Q: State the order of the given ordinary differential equation. cosh(4/y) - 5ln(18y)y" = 2cos(5yx) -…

A: Given: cosh(4/y)-5ln(18y)y''=2cos(5yx)-y12y'+4x To find: Order of given differential equation.

Q: 5.S) A spring with a 8-kg mass and a damping constant 11 can be held stretched 1.5 meters beyond its…

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Q: • Find the upper Riemann sum U(f, P) and the lower Riemann sum L(f, P) for each of the following…

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Q: 00 10x Find a power series for f(x) = |x|< 1 in the form " an. (x² + 1)² n=1 Hint: First, find the…

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Q: . A mass of 1 kg is attached to the end of a spring whose restoring force is 180 The mass is in a…

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Q: D. Suppose p, q, r, s are propositions such that p^q is true and rv sis false. Determine the truth…

A: We know that,  A∧B is true if and only if both A and B true  A∨B is false if and only if both A and…

Q: If p = a₁ + a₁x + a₂x² and q = bo + b₁x + b₂x² are any 2 vectors in P². Defined function: f(p, q) ==…

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Q: Obtain frequency response of the following system. Compute inverse Fourier transform of the…

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Q: Solve the following differential equations by linear method. y' - 3x²y=0

A: Solution :

Q: Problem 1. Consider the differential equation dy 2x²+2 = dx X where y = 5 at x = 1. Use RK4 Method…

A: consider a differential equation dydx=2x2+2x with initial condition y1=5 use RK4 method to determine…

Q: Find the Laplace transform L (cosht cos²t) @ & L (sinhst cashet) (2 3 L (sin't cos't)

A: Here we use the conversion of hyperbolic function to exponential function. And use some…

Q: QUESTION 4 Calculate the area between y = 7 - x² and x-axis from x = -1 to x=2 as shown in Figure 1.…

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Q: 0 What is/are the correct explicit definition for {an} = 1, 2 3' 97 27... (choose all that applies)…

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Q: x - 1 5 = y - 2 3 Z - 2 1 2xy +z = 10

A: To find the solution of a system of equation is the values of the unknown for which the system of…

Q: Let R be the region in the first, third, and fourth quadrants that is inside the polar curve r = 1 -…

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Q: Let p= "It is extremely humid." Let q = "It will rain tomorrow." Convert into symbols: a. Plz solve…

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Q: = 3. Find the pointwise limit g of the sequence {n} on I = [0, 0), where gn(x) = the E-definition…

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Q: Obtain the circulation integral of the field F = (x+eªseny)î + (x + e* cosy) in the curve C defined…

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Q: Q3: A Cummins diesel engine is available in heavy-duty pickup trucks. The probability of the engine…

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