use the Lagrangian method to solve: U=x1^(1/2)x2^(1/2) subject to 50=5x1+10x2

Q: Solve as required : Given : Z = 3x?y³ – 4x*y? From the given, solve the following: Əxðy dx²Əy 2. 1.

A: It is given that, z=3x2y3-4x4y2. 1. Find ∂2z∂x∂y as follows.…

Q: Solve for the particular solution: (D² - 2D + 6)y = 4e-2x O yp = (-1/2) e^(-2x) O yp = -2xe^(-2x) O…

A:

Q: Solve the equation (x2+5x2y2)dx+e(x^3)ydy=0

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Q: Use the quadratic formula to solve for x from the equation -(1/4)x^2 + x + 10^-14 = 0

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Q: Find the solution to this equation: z^3=(-1-(sqrt(3))(i))

A: Complex number

Q: Solve 12sin^2(w)−11sin(w)+2=0

A:

Q: ((x+4)(y²+1)) dx + (y (x2 + 3x + 2)) dy =

A: This separable differential equation

Q: By using equation qx= 2mx/(2+mx) , derive a similar equation for the more general case of an age…

A: Given: qx=2mx2+mx To Show: qxn=2×n×mxn2+n×mxn

Q: Solve the equation (x^4 + 2y)dx - xdy = 0

A: I am attaching image so that you understand each and every step.

Q: Solve (1/8)((sqrt 2)^x+2) = 1/2) algebraically.

A: The objective of the question is to solve the given equation for the variable 'x'. The equation is…

Q: Solve using 1. (D² - 5D + 6)y = x²e* + 2x undetermined coefficients. Use A, B, C and etc. for…

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Q: Derive all the possible equations of x. Given : (x-2)^2+lnx=0

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Q: Solve (2x^2y +y)dx+xdy =0

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Q: Solve (x+2y^2) dy =ydx

A:

Q: (1/y)+(6/y^2−100)−(3/y^2−10y)   how do i find the LCD then solve?

A: First we factor y^2-100= y^2-10^2= (y+10)(y-10) [used a^2 - b^2=(a+b)(a-b) formula]

Q: Solve for z. (2-i)z+8z^2=0

A: Given equation is, (2-i)z+8z2=0

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.