1. Use a midpoint Riemann Sum with four subintervals to approximate the area under f (x) =- on [3,5] (A) 1.019 (B) 1.163 (C) 2.039 (D) 2.059 (E) 2.326

Q: Approximate the area under the curve y=1x between x=1 and x=5 using the Trapezoidal Rule with n=4…

A: Width of each interval = (5-1)/4= 4/4=1 So the partitions are 1, 2, 3, 4, 5

Q: Find the area bounded by the curve y and its asymptote/s. (1+x2)

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Q: Approximate the region under the curve f(x) = x^2 by using the Riemann sum with 3 intervals using…

A: Given, upper limit= b=14 lower limit = a= 2 number of intervals= n=3 We first have to find the width…

Q: By using definition 5.4.3 with as the left endpoint of each subinterval to find the area under the…

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Q: Find the exact area of the region under the graph of y= e -x from 0 to 2 by using a computer algebra…

A: We have given a function; y= e -x We have to find the area of the bounded region from 0 to 2.

Q: 2. a) Estimate the area bounded by the curve and the x-axis on [1, 6] using the 5 equal subintervals…

A: As per our guidelines, we are supposed to solve only first subpart. Kindly repost other subparts as…

Q: Find the area under the curve y=f(x)=x^3 from x=1 to x=3 using inscribed and circumscribed…

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Q: 12) Find the area of the region between the curve y = 22-X and the interval 0 < x < 2 on the х-ахis.

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Q: Approximate the area under the curve y-f(x) between x=0 and x=10 using the Trapezoidal Rule with n=5…

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Q: Find the area of the region bounded by the graph of Z F7(2).png ... f(x) = avbx – x² and g(x) = cx…

A: Given that, f(x)=35x-x2  and  g(x)=4x We need to find the area of the region bounded by the graph of…

Q: 5. Find the area between the curve y, =x² - 4x +12 and y, = x² from 0<x<4

A: Given curves are y1=x2-4x+12y2=x2 Also 0≤x≤4

Q: 3. Approximate the area under the curve y =x² +2 between x = 1 and x=7 using 3 subintervals (n = 3)…

A: We know that according to right end approximation, the area under the curve is, A≈∑i=1nf(xi)∆x   It…

Q: Suppose (1) = . The area under the curve for 0 SIS2, estimated by using the trapezoidal rule with At…

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Q: 8 Estimate the area under a curve over the interval -2 < x < 0 with the x and y values given in the…

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Q: 1. Write the first three and final two summands in the E(2+k) kul Explain why this sum gives the…

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Q: 1. Find the area in the second quadrant bounded by the curve 2x² + 4x +y = 0 using two methods

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Q: 2. Determine the area under the curve y = on [0, 1].

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Q: Approximate the area between f(x) = x+2 and the x-axis from x 1 to x 7 using a trapezoidal sum with…

A: fx=x2+2,  x=1 ,  x=7,  n=3. Here, h=b-an⇒h=7-13⇒h=2 Therefore the subintervals is, 1, 3, 3, 5, 5, 7…

Q: 1. Determine the area bounded by curves y = -x² + 4x + 3 and y = −x³ + 7x² − 10x + 5 over the…

A: We have to find the area bounded by the curves.

Q: (11) Find the area under the curve y =x+1 for 0<x<2 %3D

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Q: The area under the graph of y =√2x^2 + 3 over [2, 7] using rieman sum

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Q: Approximate the area under the curve f(x) on the closed interval [1, 3] with 5 circumscribed regular…

A: Given curve f(x)=x2+9x+10 interval 1,3. The objective is to estimate the area under the curve. Area…

Q: Which of these sums give the approximation to the area under the curve of y =Vx+1 and between x = -1…

A: The area under the curve y=x+1 between x=-1 and x=0 using 3 rectangles and right endpoints.

Q: 4. Use a right-sum and left-sum, with 4 subintervals each, to estimate the area under the curve of y…

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Q: Determine the exact area of the region bound by the graph of f(x) = −x^2 + 5 and the x-axis on…

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Q: If L2 is the sum of the approximating rectangles for the area under the curve y = | cos x| from 2n…

A: Solve the following using left end points approximation

Q: Using the left-hand endpoint with n = 8to write the Riemann Sum that describes the estimation of the…

A: Given: f(x)=x2+1 n=8 [a,b]=[0,2]

Q: Find the area under the curve y = 6x° over the interval [0, 2]|

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Q: Estimate the area under f(x)=x2 on the interval [0,10] using the midpoint Riemann Sum for n=5.

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Q: What is the area bound between the curve y= \x/2 and the x-axis between x =-3 and 4/2 - 2/3 3 x = 2?…

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Q: Find the area under the curve y = - - over the interval [4, 9]. (4x + 2)² Enter the exact answer.…

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Q: ) Approximate ſ*^*In(y +1)dy with a midpoint Riemann sum using three equal subintervals. 1

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Q: f(x) = 8ln(x) – x

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Q: Estimate the area under the graph of the function f(x) = sin(x-5) from x=5 to x=6 using a Riemann…

A: We have to find the area under the graph of the function f(x) = sin(x-5) from x=5 to x=6 using a…

Q: 2. Find the area bounded by the curve y = x³ – 3x2 from x = 0 to x = 2. -

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Q: a. Find the area under the curve f (x) = 4 – x² over the interval [0, 3] by using definition with x…

A: Given function is fx=4-14x2 and interval is0,3.

Q: 1. Find the area under the curve of y on the interval [1, 4).

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Q: 1. Use the definition of the definite integral as the limit of a sum to evaluate (4.x – 2²) dx.

A: The given problem can be solved as-

Q: Find the absolute makimum/minimum values of the function fCx)= x6-x) over the intenval 1Ex<5

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Q: 1 (a) Estimate the area under the graph of the function f(x) = from x = 0 to x = 5 using a Riemann…

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Q: 4. Find the area under the curve y = Vx +6 from x = -6 to x = 3. Give exact answer.

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Q: 10. Use Riemann sums and a limit to compute the exact area under the curve y = f(x) = 2x² + 1 on the…

A: Given÷

Q: Approximate the area under the curve y=3x between x=−2 and x=2 using Simpson’s Rule with n=4…

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Q: 3 Find the area under the curve y over the interval [3, 8] (4x + 2)?

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Q: You will be investigating the following integral: + 28x)dx Evaluate the above integral by setting up…

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Q: 2. Determine if the integral converges or diverges. Part of your grade on this problem depends on…

A: Topic:- integration

Q: Evaluate the integral x°dx by taking the limit of the аppropriate Riemann sum.

A: Riemann sum: by the definition of the definite integral

Q: - Use the midpoint sum formula to calculate the area under the curve f(x) = x³ from x=0 to x-12…

A: Here h = b-an = 12-04 = 3

Q: 19. (a) Find the area bounded by the curves y = 2x2 and y = 4x. (b) Two cars both start on a journey…

A: Given two functions: y=2x2 and y=4x To find a) Area under the two curves b) If two curves represent…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.