Choose the correct region of integration S* ydydx. Assume that in each figure, the horizontal axis is the x-axis and the vertical axis is the y-axis. Evaluate G Las ydydx by changing to polar coordinates. (Use symbolic notation and fractions where needed.) S(r, 0) dr do = Incorrect

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A: Given:  y=2x+5 y=12x-1

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Q: Rectangle PQRS is reflected across the x-axis. The image is P'Q'R'S'.Which two further…

A: Given Rectangle PQRS is reflected across x axis then image is P'Q'R'S'

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Q: d. y =x (n* + e*)6

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A: [x,y]=meshgrid(0:2*pi); z=sin(x)+cos(y); surf(x,y,z)

Q: step1. Craph ! y= Sin (2x-) Sepa. Ventical translation 2 uniti and vertically, (stretehad or Shrunt)…

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Q: Rewrite (6x + 9) cos (x + 3x) dx using substitution of variables. o /3 cos udu o / 2 cos udu o / cos…

A: The given integral is: I=∫6x+9cosx2+3x dx

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.