3. Let C be the circle Iz| = 3, described in the positive sense. Show that if 2s2-s-2 ds (Izl # 3), g(z) = %3D S-N thon a(?) - 8Ti What is the yalue of g(z) when Izl > 3?

Q: Consider the shaded region shown in the figure that involves the curves of equations: (x - 1)2 = −4…

A: We have, two curves: x-12=-4y-1 and 9x2+16y-22=144 To find the area of the region  First we will…

Q: 35. In the xy-plane, the circles with equations (x-3)² +y² = 11. and (x+2)² + y² = r² |3D %3D 2re…

A:

Q: In the xy-plane, the graphs of y = 2* and y = x? - 10x + 19 intersect at the point (r, s). What is…

A: Given: In the xy plane, the graphs of y=2x and y=x2-10x+19 intersect at the point r,s.

Q: 18. The equation of a circle with center on the y-axis and passing through the origin and the point…

A: It is given that the circle is passing through the origin (0,0) and the point (2,3). As the general…

Q: 1.) Find the area bounded by the regions given by the graphs of y 3x2-10x and y x2+2x. Make sure you…

A: There are multiple unrelated questions. I will address the first one.The curves are:y = f(x) = 3x3 -…

Q: y f(x) = x? if xs1 f(x) = 2x + 1 if x>1 1 1

A: We have to give reason

Q: Find the area of the region included between the parabolas y? = 4(p + 1)(x +p+ 1), and y? = 4(p² +…

A: Here we have to find the area of the region bounded by the two parabolas.

Q: 3. Use the Secant method on the circle function (x + 1)²+(y – 2)²= 16 to %3D find the intersection…

A:

Q: what

A: Please refer to the image below

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.