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: Suppose that a pdf for a continuous random variable Y takes the form ayya-1 y > 0 f(V) = (1+ yª)r+1…

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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: Find Lebesque integrae of function segment (-4,0) On f(x) = Txen X+4 O a. 12*41/3/5 O b. 3*41/3/5 O…

A: In R if a function is integral the lebesgue and Riemann gives same value

Q: Q1: - Find C that make the function f(x) continuous f(x) = {| x +3 Сх+ 6 x 2

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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: A third student keeps buying chocolate bars until he finds 5 prize vouchers. Let W be the numbers of…

A: The Expected number of prizes is 5 Let W be the number of bars bought before getting the 5 prizes So…

Q: Evaluate (x2 – 2x³) dx using the limit of Riemann sums.

A: given integration is                                       I=∫01x2-2x3dx we have to find value of…

Q: Find and classify the extreme values of f(r)=6r 4r over the interval (-2 21

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Q: Find all intervals where the function f(x) = x+ x- x is increasing.

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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: Find a power function, f (x), such that the points (2, 9.6) and (5, 2343.75) lie on the graph of f…

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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: A package of food is removed from a refrigerator. The number N of bacteria in the food is given by…

A: Solution is given below:

Q: Determine where f is increasing f(x) = I x+ 1 I

A: fx=x+1 It can be written as, fx=-x+1   when  x+1&lt;0x+1        when  x+1≥0     ∵x=-x   when…

Q: 9. Calculate the roots, asymptotes, regions of monotonicity, and regions of concavity for the…

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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.