8 The region D above can be describe in two ways. 1. If we visualize the region having "top" and "bottom" boundaries, express each as functions of x and provide the interval of x-values that covers the entire region. "top" boundary g2(x) =a "bottom" boundary g1(x) = | 0 interval of æ values that covers the region = 0

Q: 1 The region D above lies between the graphs of y = - 4 - (x + 1) and y = - 8 + (z + 3)*. It It can…

A: The given graph is:

Q: given f(x)= 4x^2-4/x^2+5x+4 find the x-value of the removeable discontinunity of the function

A: Given fx=4x2-4x2+5x+4

Q: A ball is thrown from the top of a wall onto horizontal ground. The path of the ball is modelled…

A: The path of the ball is given by the below function. fx=6+8x−x2 To determine the height from which…

Q: Is 6y-y^2 a convex function

A: Given:  Let fy=6y-y2  To Find: To check the given function for a convex function.

Q: The graph of y = 3(x - 2)3 + 2 always increases except at x=,

A:

Q: f(x) = 1- (x - 1), xs2 lx-2, x > 2 y y 10 10 5 -10 -5 10 - 10 -5 10 -5 -5 - 10 -10 y y 10 10 5 - 10…

A: Topic - functions and their graph

Q: f(x) = 12²

A:

Q: Find the value of x that results in a maximum value of y if -2=x^2+y^2-4x+4y?

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Q: Given two points A(1, 8) and B(6, 14). Find the point C on the x-axis so that the total distance AC…

A: Let's find.

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.