Sketch the region bounded by the graphs of the functions. y = 25 - x, y- x2 - 11x + 50, x = 0 60 50 40 40 40 30 30 30 30 20 20 20 20 10 10 10 2 -- -6 -8 -6 -4 Find the area of the region.

Q: f(x) = 6x-1 ax + b 8x-1 for x 1/1/201

A:

Q: Ex+ 8x3-72x?+4 三X'

A:

Q: Integrate the expression 1017x² +840xy + 1492y² over the region bordered by the curve 1017x² +840xy…

A:

Q: у %3D Зx5 — 15x4 + 20х3 + 3 -

A: Given : y=3x5-15x4+20x3+3   To Find : x & y- intercept of the given graph

Q: find the local maximum value of the function xy-x^2-y^2-2x-2y+4

A: The given function

Q: Find the area of the region bounded by f(x)=-x^2+6x-5, the x axis, and the lines x=2 and x=5. Graph…

A:

Q: Calculate facterial funchion n -X x e %3D

A: Using integration by parts solve the integral:  ∫0∞xne-xdx=∫xne-xdx0∞…

Q: Find domain and range of the * function y = Vx2 – 4x

A: To find the domain and range of  y=√(x²-4x)

Q: Describe the Discontinuity Functions?

A:

Q: Find the area between y = 6 - ² and y = x² 2 -5 -4 N 8+ 7 3 2 -1 -2 -3 The area between the curves…

A: The equation of curves are given y=6-x2 and y=x22-4

Q: A farmer wishes to build a divided pasture adjacent to the river, as shown in the diagram.…

A: Let y be the side of the fence that is parallel to the border of the river side and x be the length…

Q: Use right endpoints & 6 rectangles to approximate the area between the X-axis and the function…

A:

Q: Differentiate the function. 2x2 + 4x + 6

A: Given function is y=2x2+4x+6x. Given function can be written as:…

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.