Approximate the value of =dx, using two and three points Gauss Quadrature Vx+ A

Q: If x? + y2 = 100 and dy/dt = 9, find dx/dt when y = 8. (Enter your answers as a comma-separated…

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Q: Using the fomat of dy/dx below, find (A +B+C+ D). dy 40t? + At +B dx -Ct? + Dt + 3 ||

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Q: Find and at the given point without eliminating the parameter. x = Vi, y = 21 + 309; † = 1. dy

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Q: Midterm Question 7 of 20 dx = 3y? dy %3D Select me coTrect response x+y3-C NONE

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Q: Use these 3 methods to approximate , ex dx, n = 8 a. Trapezoid Rule b. Midpoint Rule c. Simpson's…

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Q: (2y – 3x)dx +xdy = 0 %3D

A: Find your answer below

Q: M(x,y) dx + (x,y) dy=0 to be exact

A: Solution :

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

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Q: 2 cos(2x) dx, n = 4 J1

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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: Find the cifferential dy of the given funddtion. (Use "cx" for dx.) y- dy

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Q: EXAM Q1-If x= cot- VE, y =;, find dy dzy dx' dx2 at t = 2. t+1

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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: dy Given that y = 5u+ 4 and x = -u', hence find dx

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Q: d'y Find for dr? y = cot(x) dy %3D dx?

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Q: (c) Prove that L{Cost Si(t)- Sint Ci(t)} Logs s +1 %D

A: The complete solution is in given below

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

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Q: y par e for JTx (inx)? dx. wtioni dv = %3D

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

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Q: Use the Quadrature Rule Calculate I = S e2x dx using the 3-point Gaussian Quadrature method.

A: Given integral is I=∫03e2xdx

Q: Determine the so luti'on of the equertion: dy dx2y cot x= 1- 2xcot 2x- 2csc 2x

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Q: A-Estimate J, 2e-3* dx using trapezoidal rule with four subinterval round your answer to one decimal…

A: Given is the integral  ∫-11 2e-3xdx The aim is evaluate the integral using trapezoidal rule.

Q: If æ? + y? = 25 and dy/dt = 6, find %3D dæ /dt =

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Q: (Hw) ex Test for Exactues ? (ext? + ax) dt+ (2tx* +zt)dx -.

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Q: What is the formula for the slope dy/dx of a parametrized curve x = ƒ(t), y = g(t)? When does the…

A: Given parametric curves are

Q: dy %3D xp

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Q: Without eliminating the parameter, find d²y at t = 2 1 x = 1

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Q: the EXACT Salutian to the equation belaw/de not decimal apprakimatea) give %3D

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Q: C Reduction OF Crder and Variation OF Parame te 1. : tan 2x

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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: Find - given that dt dx x? + y? = 2x + 4y, x = 3 y = 1, and dt 11 dy i dt II

A: Given problem is :

Q: The approximation of x'e"dx by Gaussian Quadrature with n=2 is (Use c21 = C22 =1 and r21= r22

A: Given :                 I = ∫01xeexdx

Q: Given x 6 In(t) and y = 36 t2 then find %3D dy dx dy dx? ||

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Q: th² (t) В V = 2

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Q: Given that y=ax , find dy/dx

A: To find the derivative of the given function

Q: dy Given that y = In 9x, find dz dy

A: Use derivative rules to find dy/dx

Q: Revers the order and Evaluate= s dx dy y

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Q: d(xy) = ? tot al dofferentral ? Zryckt x dy=9 )totol pferibral?

A: Given

Q: Find dy/dx and d2y/dx2 at the given point without eliminating the parameter. x=1/2t2+9  y=1/3t3+4t,…

A: We have, x=12t2+9, y=13t3+4t, and t=2 Now, differentiating x=12t2+9 with respect to t, we get the…

Q: dx dy If L = Va? + y?, = -5, and dt = 2, find dt dL when a = 3 and y = 7. dt %3D dL dt

A: Given query is the derivative of L over t at x = 3 and y = 7.

Q: \ Compute dx using the (a) Trapezoidal rule

A: 6.(a)  Given function is ∫-11e-x2dx Trapezoidal rule ∫abfxdx≈∆x2fx0+2fx1+2fx2+2fx3+........+fxn…

Q: Use Green's Theorem to evaluate |. (y? – 6y) dx + (y³ + 10y²) dy where C is shown below.

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Q: dy Differentiate parametrically to find dx in terms of t: %3t2, y3 6t

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Q: Express in form y=f(x) by eleminating the parameter x = e−2t , y = 6e4t

A: Here, x=e-2t and y=6e4t

Q: Integrate to find the length of the curve. 8 S = 2 - + 4t dt 4 + 8 2t ++) dt = (? +t ln(t) 1 II

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