Approximate Integration Trapezoid Rule and Simpson Rule

Q: Find local extrema implict function f(x,y) = x*y given condition

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Q: Water is flowing in a trapezoidal channel at a rate of Q = 20 m/s. The critical depth y for such a…

A: Let fx=1-Q2BgAc3 ⇒fx=1-2023+y9.813y+y23⇒fx=1-4003+y9.813y+y23⇒fx=1-4009.81y33+y2 Take a=0.5, b=2.5…

Q: Stream function can exist only for irrotational flow. صواب

A: To check the statement is true Or false Statement is " Stream function can exist only for…

Q: 4 Find the average value of f(x,y) = (+√y) where 0 ≤ x ≤y and 0 ≤ y ≤ 4.

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Q: 4(z-1)y se (x, y) # (1,0) f(r, y) = { (=-1)²+y² (x, y) = (1,0) se

A: Given a function : f(x,y)=4(x-1)y(x-1)2+y2(x,y)≠(1,0)0(x,y)=(1,0) We need to determine set of points…

Q: f(x, y) = V(x² + y²)² 3 2

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Q: equation given : (4)(2^yz)+(12)(2^z)=(2^x) , x=st-1 , y=2s-t find ∂z/∂s at s=1,t=1

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Q: Bisection root of fal= XeX_! methed to find use the

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Q: 1. Suppose that a producer has the following production function: Where Q is output, and L and K are…

A: Given - Suppose that a producer has the following production function: Q = K13L16 Where Q is output,…

Q: A thin metal plate of uniform density covers the area between the curves y = 2+ 6x – x² and y = 2 –…

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Q: 1 26. Dilate with a scale factor of 3" 13 12- 10 9+ -8+ 6+ F H 4+ 3- 89 10 11 12 13 F'(15, 6),…

A: topic - dilation

Q: Find all relative extrema and any saddle points

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Q: Find the critical value for the given function. Grapg it and classify the critical values of the…

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Q: 10 نقاط Check whether the following points: {(0,0), G5.E=)} indicate a maximum, minimum or saddle…

A: Solution:-

Q: A horizontal load applied to a beam creates what type of stress? (a) Shear stress (b) Compressive…

A: 1. Shear Stress  Shear stress occurs when the horizontal load causes one part of the beam to slide…

Q: 104 I' 10 -8 -4 20 10 8 10 2. 4.

A: We have to find scale factor

Q: Integrate the following function over the interval (a, b) = [9, 15] using the Trapezoid method with…

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Q: Use Chain rule find the derivative w= 4x^2 +3y^2 with respect to t along the path x=sint and y= cost…

A: Note: “Since you have asked multiple question, we will solve the first question for for you. To get…

Q: Find fy (x, y) for f(x, y) = . eły

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Q: Can we use x = vy?

A: The Solution is given below

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.