f(x)= x+3, g(x)= x2-9 Find the area of the region enclosed by these graphs and the vertical lines x= -2 and x=1

Q: The shaded region shown below is bounded by the functions f(x) = -2x2 +2.75x +9 and g(x) = –-0.75x…

A: 1st we need to find point of intersection of given curve and line .Then divide shaded part into two…

Q: Use right and left endpoints and the given number of rectangles to find two approximations of the…

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Q: Assume SSE(b)=(8-4*b)^2+(10-3*b)^2 +(7-8*b)^2  . Find the value of b that will minimize this…

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Q: If the point B(-6,21) is the image of point A after a dilation centered at the origin with a scaling…

A: Dilation is a transformation which transform the size of image and scaling factor measures how much…

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

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Q: VarX = 2 and VarY=5  What is Var(X+

A: Given that Var(X)=2 Var(Y)=5

Q: The shaded region shown below is bounded by the functions f(x) = -3x2 + 8 and g(x) = 0.5x + 6 and…

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Q: Sketch the graph of the function. f(x) = x2 - 2x |20아 10 - 20 - 10 10 20 - 10 -20 y 20 10 - 20 -10…

A: Givenf(x)=x2-2x

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

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Q: 4 The area under the curve y = 3x* and above the x-axis between I = 5 and x = 10 is: area The area…

A: Area under curve

Q: 7. A rancher want to enclose three rectangular areas in a field, one for sheep, one for cattle, and…

A: Hi, thank you for the question. Since you have posted a question with multiple subparts, as per our…

Q: all the relative extreme points and inflection points for the graph of y = 1 + 3x^2 − x^3

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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.