Use the graph of f(x) below to estimate f(x) dr using a Riemann sum with right 30 endpoints and two subintervals of equal width. y y = f(x) -20 40 60 80 20

Q: The diagram below shows upper and lower sums for the function f(x)=√√x+1 using 4 subintervals. Use…

A: given function

Q: 3. Consider the function f(x) = sin x. (i) Is there a sequence of polynomials converging uniformly…

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Q: Approximately 20% of IU students suffer from triskaidekaphobia. IU Health offers a free screening…

A: We have to find out answer

Q: Use: F(x)= 0.2((x-3)^2)(x+1), bounded by the x axis, over [-1,2] Calculate the the Riemman Sum using…

A: The given function is,

Q: xp Vx(x + 5) converges O diverges

A: CONVERGES

Q: Let f (x) = x + x3 + 2x 1. The function f is increasing on the following interval(s): (а, b) O [a,…

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Q: Let f(x) be the piecewise function -2x + k f(x) = { x² + 1 if x < 1 if x ≥ 1

A: for continuous function

Q: 5. Find the value of c if Σ (1+ " 2 %3D n=2 5. Find the value of c such that 00 Σ E enc = 10 n=0 .…

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Q: Left- and right-continuity a. Is hlx2 = Vx - 9 left-continuous at x = 3? Explain. b. Is h1x2 = Vx -…

A: To Determine: find left hand and right hand continuity at x=3 and explain this Given: we have a…

Q: Left endpoint upper sum for y = 17 on [2, 6] rectangles in the graph below illustrate a right…

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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.