SIMPSON'S USE N=6 ACTIVITY # 8 : esinx dx SOLVE USING TRAPEZOIDAL AND SIMPSON'S RULE

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Q: Using modified trapezoidal and 1/3 simpson's rule Use n=3 ⌠14 (xe0.5x - 0.5x)dx

A: Trapezoidal rule: Trapezoidal rule can be used to find the area below the curves by dividing the…

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A: Given query is to find the solution of the differential equation.

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Q: ,2 dy 2х dy + 2 dx -9 —D 12х — е dx?

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Q: Finding solutions with Integrating Factors 6. Solve (2xy*eУ + 2ху3 + у)dx + (x?у*еУ — х?у2 - 3x)dy…

A: Please see the answer below.

Q: F(x)=x^3+2 Newton’s method X=? Graphing utility X=?

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Q: ticular solution of s(t). From the initial point(t=0): S=20 ft V=0

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A: The two functions are: f1x,y=x3-3xy2+1 f2x,y=3xy2-y3

Q: Bernoulli's Equation Obtain the particular solution when x=3 and y=2: 2xyy' = y2 – 2x3

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Q: Using numerical methods find the value of S r1.25 x² dx with h= 0.25. 1+x3

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Q: 6. Solve the initial-value problem и, +ии, 3D0 with the initial curve x = - t², t= t, u = t.

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Q: ydz + [y+tan (x+y)]dy: 0,

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Q: Integrating Factor * Test for exactness and find the general solution : у (xу — 1) dx + x (ху* — 1)…

A: Exact Differential Equation and Its solutions: The differential equation is exact if and only if…

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Q: PART A: Find the general solution and particular solution of the following differential equations…

A: take integration

Q: Bernoulli's Equation Solve (dy/dx) - 4xy = 12xy2

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Q: Jse Newton's method with an initial approximation x1 = 1 to find x3 , the hird approximation to the…

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Q: A population of insects increases at a rate 290 + 6t + 0.9t² insects per day (t in days). Find the…

A: We have to find the insects population after 5 days.

Q: II. Verification of a solution 6. Show that y = x² is a solution to x = = 2x dx 7. Show that y =…

A: Solution is given below:

Q: y'= y– xy'e-2* X) ||

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Q: The tube cross-section shown has inner radius of 3 cm and outer radius 6 cm and within the tube…

A: This question is about application of derivative

Q: 2. Integrating factor by inspection: Solve the equation: (y – xy²) dx + (x + x?y²) dy = 0 O = In y –…

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Q: Bernoulli's Equation 1. y'=y=xy°e* -2x

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Q: A tank contains 8 L. (liters) of water in which is dissolved 32 g (grams) of chemical. A solution…

A: Given : A tank contains 8 L (liters) of water in which is dissolved 32 g (grams) of chemical. A…

Q: Test for exactness. If exact, solve. If not, use an integrating factor as given or obtained by…

A: Given :- 2x tan y dx + sec^2 y dy = 0

Q: Question Use Simpson's rule to estimate (3x + 7x) dx using 4 subintervals. Enter an exact value.…

A: Solution: The Simpson's rule uses parabolas to approximate the area:…

Q: 6. Solve the initial-value problem и, +ии, 3D0 with the initial curve x = - t², t= t, u = t.

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Q: Using trapezoidal rule, Simpson's rule, Simpson's three-eights rule, mid- point rule to approximate…

A: Here, f(x)=ex, a=1.1 and b=1.5 are given. Consider n=4, i.e. dividing the interval in 4…

Q: Differential Equations Assume t is time, and y(t) is earnings in millions for day t. Solve dy/dt =…

A: The given problem is an initial value problem.  An initial value problem is an ordinary differential…

Q: [CLO1] Having the equation x- x- 8 = 0 with two initial point of po=1.2 and P1=2.1. Find the…

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Q: dy cos(x + y), when x = 0,y = %3D dx 4

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Q: sinh(6 - 5x) dx Step 1 First, let u6- 5 x. Now, differentiate u with respect to x. du = -5 dx or du…

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Q: estior llowing differential equation is linear, 2nd order, ellipti on where A and B are non-zero…

A: The general equation of second order partial differential equation is written as,…

Q: Using Newton's Method with dk < 0.001 estimate f(x) = sin x - 0.52 using initia estimate x°

A: Let's find.

Q: A population of insects increases at a rate 210 + 6t + 1.2t² insects per day (t in days). Find the…

A: Given Data The rate of increase in the population of insects is:  The population of insects at t=0…

Q: (15у* + 2 dx dy

A: Given that, the integral  ∫12∫1415y4+2x2 dx dy To Evaluate the given integral

Q: r1.5 4. Use a suitable numerical method to estimate (xsin (x²) + 4)dx using 10 ordinates. Use at…

A: Given integral is∫01.5xsinx2+4dxThe integral is solved using midpoint rule using 10 ordinatesas…

Q: adx. -b(x-Y)+e Please solve equation for x(t) given initial condition of x=x_0 Please show all work

A: Given, adxdt=-bx-y+c dxdt=-bax-y+kdxdt+bax=bay+k it is a linear differential equation…

Q: 3. INTEGRATION BY PARTS Find a formula for for n 21 and use it to evaluate x³e*dx

A: Here we have to use integration by part to find the formula of ∫xneaxdx

Q: Bernoulli's Equation Solve (dy/dx) - 4xy = 12xy2 %3! O 1/y = (Ce^(-2x2)) - 3 %3D O 1/y = (Ce^(-2x2))…

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Q: Compound A diffuses through a 4 cm long tube and reacts as it diffuses. The equation governing…

A: According to chegg guidelines I can  solve only one question please excuse

Q: Integrating xsin(x) dx by parts in correct way, we obtain an expression Of the form A - SB dx, then…

A: Given:        1x-1x-2x-3=Ax-1+Bx-2+Cx-3    Method of Partial fraction :…