1 Evaluate dx by using Trapezoidal rule. Hence obtain 1 + x2 he approximate value of .

Q: By algebraic substitution, the integral - dx dx is converted to: 4+x 2ydy (A y+4

A: Option a is the correction and other option does not satisfy the given conditions

Q: (c) Given tanh (x) + tanh (y) = 1, show that, dy 1- y? dx 1- x2

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Q: 2. Use the composite trapezoidal rule with the step length h = 0.1 to evaluate dx I = 1+x2 and…

A: Composite trapezoidal and composite Simpsons 1/3rd rule

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: I am having trouble evaluating ∭x2 dV, where E lies between the spheres ρ = 1 and ρ = 3 and above…

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Q: 2. Use Euler's method to find the approximate value of y correct up to 4 dy decimal places for…

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Q: 2. Integrate numerically the given function, fx0.1(1.2-x)(1-e20(x-1)) dx with the multiple-segment…

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Q: Use an appropriate technique to evaluate the following: 1 dx dy (1+ x² + y²)²

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Q: 4 Which formula would be used to calculate the trapezoid approximation of L dx using five…

A: We have to use trapezoidal rule. Option B is correct.

Q: H.W p.564/ use Trapezoidal method and Simpsons' rule to evaluate. dx 1) So √1+x² n = 4 se as Ars

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

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: dy dy implicitly in terms of x and y. Hence, find d.x Given sin(xy) + 3e 3y?. Find dx when x = 0 and…

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Q: To evaluate fx (cos x2)e* dx, use integration by parts. What is the best choice for u and du?

A: Consider the provided integral, ∫ xcosx2ex2dx Evaluate the provided integral. Apply the substitution…

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. xcos2y dx + tany dy = 0

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Q: O Evalmate the impaper mitegral on e Show that it DE VERGES dx x In? (x) 2. tan (x) dx

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Q: EXAM Q1-If x= cot-1 VE, y =,-. find dy d2y dx' dx2 at t = 2.

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

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Q: A. Use Simpson's rule to evaluate -dx ,by taking n= 4. Inx B. Find the length of the curve y = x…

A: Answer

Q: How would I evaluate ∭x2 dV, where E lies between the spheres ρ = 1 and ρ = 3 and above the cone Φ =…

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Q: 3. Se paration of Varlable s: x(y +1)dx+

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Q: How can I evaluate ∭x2 dV, where E lies between the spheres ρ = 1 and ρ = 3 and above the cone Φ =…

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Q: Evaluate xy z? dx dy dz

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Q: E valauate the JJ x +2xy +ydy dx when step size of x-0.2 and step size of use the Trapazaidal Rale…

A: given I=∫01∫02x2+2xy+y2dydx with  h=0.2 let x0=0.2 , y0=0.5 let fx,y=x2+2xy+y2 substituting the…

Q: Which method approximates (x³ + Inx) dx to 0.9314 (a) trapezoidal rule with 12 intervals (b)…

A: Trapezoidal rule ∫x0x0+nhfxdx=h2y0+yn+2y1+y2+y3+y4+...yn-1 Simpson's one-third rule…

Q: (a) dy Given 4 sin 3x + 2exy = (2x + y)³, find dx'

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Q: | 38. Use Fubini's Theorem to evaluate xe" dx dy. 0 Jo

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Q: where t is a non-zero parameter. Show that dx 28 Given that x=z and y==. 1+r Hence find its value at…

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Q: Find the value of dy/dx at the given point. (Verilen noktada dy/dx değerini hesaplayınız.) xe' + sin…

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Q: Find the Complete or Particular solution OF the Followoilng diffi rential equations: (2メコ+ )dx -2メよ…

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Q: Given tanh(x)+ tanh ¯' (y) = 1, show that, 1- y? 1 – x² dy dx

A: Formula,ddxtanh-1x=11-x2Note- Since multiple questions are asked, I am answering the first question…

Q: se Green's Theorem to evaluate SC (5y-9x)dy-(yx-x³)dx where C is shown below

A: Follow the procedure given below.

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

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Q: Use the Trapezoidal Rule with n = 6 to ex approximate dx | 1 х Use the Simpson's Rule with n = 6 to…

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Q: Q1-If x= cot-1 VE, y = find dy d2y dx' dx² at t = 2. t+1

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Q: 3- Approximate xe* dx using h = 0.25. Use a. Composite Trapezoidal rule. b. Composite Simpson's…

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Q: 7. Calculate dy/dx at the point indicated: f(0) = (7tan O, cos O), 0=/4

A: Here we will use the concept of parametric equation and Derivative of parametric ewyations

Q: B) Find Sx e2x dx, at h = 0.2, use Simpson's 1/3 rule. J0.4

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Q: S(r* +x )dx Approximate with n = 4 using Simpson's Rule Trapezoid Rule.

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Q: if y=tan u, u=v -1/v and v=ln x, what is the value of dy/dx at x=e

A: We have to find dy/dx .

Q: Given tanh(x)+ tanh (y) = 1, show that, dy 1- y? dx 1- x2

A: We can find the required answer as below

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: Use an appropriate technique to evaluate the following: 1 dx dy (1+x² + y²)²

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Q: 1 dx Estimate J. using the Trapezoidal rule and Simpson's rule. 0 1+x² Compare results by using n=2…

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Q: 5) Approximate -dx 1 +: Using the Trapezoidal rule and Simpson's rule with h=1. Find an error in…

A: We have to use both numerical methods for 4 subintervals as h=1 and (b-a)=4.

Q: 1 Approximate xe*dx using the Trapezoidal rule with 4 points. O A.3.123 O B. 6.246 OC2.082 O D.1.041

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Q: Given that y = ln |2² – 6 , dy 6, find dx In |x %3D

A: Differentiation is the process of determining the derivative of the function The given function is…

Q: (c) Given tanh (x)+ tanh¯'(y) =1, show that, dy 1- y? dx 1- x2

A: The given function is: tanh-1(x)+tanh-1(y)=1

Q: The approximate value of| dx by using Simpson's rule is 0.3639, then the error in the approximation…

A: Approximate value of ∫161x4dx by using Simpson's rule is 0.3639 To find the error in the…