Use n = 6 subdivisions to approximate the value of Vx +2 dx by the trapezoidal rule.

Q: Find the value of V®dx 0.

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Q: The following problem is for extra practice and does not have to be submitted. 2 1 -dx using the…

A: According to question ∫0211+x3dx,       n=4

Q: Evaluate L e* dx dy by using trapezoidal and Simpson's rules.

A: Given that, ∫02∫01ex+ydxdy By trapezoidal rule, ∫abf(x)dx≈h2f(a)+2fa+b2+f(b) where h=b-an…

Q: Determine dy for y=VX2+1 . dx2 alx

A: Obtain the second derivative as follows.

Q: Q! Salve! y? -y?+2y=Sin3× using D-opevtor Method

A: The given differential equation is: y'''-y''+2y=sin(3x)

Q: Show for Re(z) > 1 dx = r(2) ((2). et - 1

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Q: Q3) Evaluate xty'dy dx?

A: Given: ∫24∫12x2y2dydx

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule t 10 In(x) dx,n = 6

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Q: What is f P-(x)dx if the given DE is y(6y2 – x - 1)dx + 2xdy = 0?

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Q: dy Find the value of at t = 1 if dx? Vt2 + t, y = t2 + 3 x = 4

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Q: What is the value of I V16 – x² dx?

A: The definite integral ∫-4416-x2dx can be solved by applying the trigonometric substitution . Let…

Q: Evaluate e* dx dy by using trapezoidal and Simpson's rules.

A: Hello. Since your question has multiple parts, we will solve the first integral by first method for…

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule t 4 10 In(x) dx, n = 6

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Q: use the methad of variati on of param eters to solve the equation d?y %3D dx? |+ Cos 2x

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Q: Determine the value of- dy - at (0,0) for the following expression: 3x² +2y = 3x – 2y dx 10.

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Q: Use the attached equation to find  dy/dx for this: 5tan−1(x2y) = x + xy2

A: Given, 5tan−1(x2y) = x + xy2

Q: Salve d'y +1 dy = 12lo9e a dx %3D 2.

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Q: dx Evaluate J, +6x+10 by dividing the interval into 8 equal parts by using Trapezoidal rule.

A: The integral ∫15dxx2+6x+10. We have to evaluate this integral by dividing the interval into 8 equal…

Q: Show that -a²x² dx = VT/2a, a > 0, I = e by noting that I = -a²(x²+y³), dx dy -a²r², r dr d0. e

A: We need to show thatI=∫0∞e-a2x2dx=π2a,      a>0

Q: d?x +x = secy %3D dy2

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Q: What is the difference between dy dy and Ay Use an example y = 4x?+ eX to under stand. 4x2+ ex

A: In the given questioin we have to tell about the difference between dydx,∂y∂x and ∆y∆x. first we…

Q: Usę the Trapezoidal Rule with n 6 to approximate 'e dx. %3D -x2

A: As per our guideline we can only answer 1 question at a time. Kindly re-post other questions.We are…

Q: dy Find , if dx y = 3u – 2 and u = 2x² - 4. dy Preview dx

A: Topic = Derivative

Q: Find dy/dx and d²y/dx². x = et, y = te¬t dy dx dzy dx2 For which values of t is the curve concave…

A: We have to find derivative

Q: find the dy さ× when 3In X リ=(メ+z)m

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Q: a dy Find given y = 4 In da

A: The given function,   y=4x lnx

Q: Use the Errors in the Trapezoidal Rule and Simpson's Rule cos(4nx) dx

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Q: + 2y = 1- x>0 dx

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Q: Differentiate implicitly to find dy/dx. -y2 = 7 x2 + y2 %D .2 dy dx %3D

A: Given that, xx2+y2-y2=7

Q: Given y=−3cosx, what is dy/dx?

A: y=-3cosx

Q: dy -y- dx 2x, given that when y=0, x=+2

A: We need to solve the given differential equation with its initial conditions. As the equation is of…

Q: Q.2 Evaluate dx. (i) Using Trapezoidal rule by takingh = 0.2, h = 0.5 & h = 0.25. %3D %3D

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Q: dy Differentiate implicitly to find dx 5 3 5 ху 2 2 Xy + 6x¯ = 8y +7 %3D

A: Given equation is x3y5+6x52=8y52+7. Compute the implicit derivative.…

Q: Find what value of c does dx = 1?

A: Given ∫5∞cx3dx = 1we know that ∫xn dx = xn+1n+1+C

Q: dy given that y= Vx² (x – 4) dx la) Find %3D

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Q: find the dy リ=(メ+z)mx, (xを when 3In X

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Q: Find the value(s) of dx at y= 1 given that x²y+y² = 5. only В only 2

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Q: last question on my homework. so lost

A: Consider the given integral

Q: What is the I.F of dy/dx=(y+y^2)/x?

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Q: file the loiIOwing using the ina egration and 7 0 8x +8 || dy dx dz in the order dz dx dy 0 -1 0

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Q: Q2) Evaluate , S2 xsiny? dy dx 0 Jx2

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Q: Question dy Find where y = sec dx (V3). Sorry, that's incorrect. Try again?

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Q: Use the Trapezoidal Rule with n = 4 to approximate the value of: +1)dx.

A: Given,  ∫12x3+1dx, n=4

Q: Q3/Evaluate four of the following integrais dx dx c. fd. sex C. sec²x e. f(3x + 2)5 dx

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Q: Q1: Use trapezoidal method with n=4 to approximate 4x4 dx

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Q: x2 — х + 36 dx х3 + 6х

A:

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.