If we are approximating the area of f (x) = x² – 5x + 4 on [3, 12] with rectangles using left endpoints and right endpoints, which of the following situations is true? The actual area is less than both approximations The actual area is greater than the left endpoint approximation and less than the right endpoint approximation The actual area is less than the left endpoint approximation and greater than the right endpoint approximation The actual area is greater than both approximations

Q: f(x) = x2 - 1 for the interval of [0,2]

A: To find the area of under curve on [0, 2] Given the function f(x) = x2 -1

Q: Giving f(0.23) = 0.362, f(0.53) = 0.143, f(0.86) = −1.143, please use inverse interpolating method…

A: Given that f0.23=0.362, f0.53=0.143, f0.86=-1.143. Using inverse interpolating method to get the…

Q: 1 x, and the line perpendicular to 6 Find the area of a triangle bounded by the y axis, the line f…

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Q: upvote

A: Introduction: We know that the volume of a cuboid of length l, width w, and height h is given by,…

Q: fxx = || f(x, y) = 5x4y6x4y5 - 21

A: For the given function f(x,y)=5x4y6-x4y5-21      has  fxx=12x2y5(5y-1)

Q: For f (x1, x2, 3) = IIM (3, 4, 6, 7), which would be the best approach to simplify, SOP or POS?…

A: The expression  .SOP: Sum of the product of terms.POS: Product of sum of terms.

Q: 2x+ex-1 +3

A: The function is given as fx=2x+ex-1+3. The derivative of the function is ,  f'x=2+ex-1. Let the…

Q: af af Find and for the following function. Əx ду f(x,y) = x² - 2xy +9y² af ?x II

A: This question is related to partial differentiation, We will solve it using given information.

Q: Given the function, find the x-intercept (s) and y-intercept if they exist. f(x) = -7(x - 4) + 11…

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Q: 8. For f(x, y) == xex²y Find fx (1, 2) {needs product rule}

A: Explanation and some important formulas:

Q: 4. Use the fplot command to plot the function f(t) lcos(3x)+ sin (4x) in the domain -25 x S2. %3D

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Q: The figure shows the graph of y = ax²+bx+c. Suppose that the points (-h.yo). (0.0₁), and (h.y2) are…

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Q: If ƒ(x) = f'(x) = f'(4) = = (4x² − 7) (2x + 6), Use the product rule to find: -

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Q: If ƒ(x) = (2x² − 2)(7x + 3), Use the product rule to find: ƒ'(x) = ƒ' (2) =

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Q: 1. Determine the area of f (x) = 3 + 2x – x² and above the x axis. - X - 3x 3 3 2. Determine the…

A: To find the area of f(x) and above the x-axis, use the formula, A=∫-13f(x)dx and substitute f(x)…

Q: The base of a three-dimensional figure is bound by the line y = 4 - x on the interval [-1, 2].…

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Q: 2. Find the length of the curre where 2 ≤ x ≤ 3 y=7(x+6) ²

A:

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.