Q1:- Find the area bounded by the curve F(X)=(-X^2)+8X-7 and the x-axis between the function’s x-intercepts using a Riemann sum. Use of the Fundamental Theorem of Calculus without a Riemann sum will be awarded no credit.

Q: Estimate the area under the graph of f(x) = √ 49 − x 2 from x = 1 to x = 5 using four rectangles and…

A: We need to estimate the area under the graph of f(x) = √ (49 − x ^2) from x = 1 to x = 5 using four…

Q: What is the total area between f(x)=6x+6 and the x-axis over the interval [−6,3]?

A: To calculate the total area bounded between the curve f(x)=6x+6 and x-axis over the interval [-6,3].…

Q: Use the Midpoint Rule with n = 4 to approximate the integral. √x + 5dx = [Please enter your answer…

A: Here we have to use the midpoint rule

Q: State the rules for approximating the definite integral∫ab f (x) dxwith the Midpoint Rule, the…

A: These are merely different methods to estimate the definite integral. All of this depends upon the…

Q: = 16 – x2 on [0, 3] using 5 rectangles and the left 2. Estimate the area under curve of f(x) :…

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Q: Find the area of the region bounded by f (x) = a /20 – 3x – 2x² and the x -axis using Right Riemann…

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Q: Estimate the area under the graph of f(x) = 36 – x² over the interval [ – 6, 4] using eight…

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Q: Estimate the area under the graph of f(x) = 16 - r² over the interval [- 4, 1] using ten…

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Q: b. Approximate the area bounded by f(x)=x² - 2x+6 on the x-interval [0,3] usingn = 3 rectangles and…

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Q: The area between y = x and r-axis on the interval -1, 1 with right endpoint rectangles is O…

A: We need to choose correct option.

Q: For the function f(x)=3x2+5, find the area "under" the curve on [0,3] using the limit as n→∞ of the…

A: Given:        fx=3x2+5  Interval 0,3  Riemann sum:       ∫abf(x)dx=∆xfx1+fx2+...    where ∆x=b-an we…

Q: Estimate the area under the graph of f(x)=1/(x2+2)   over the interval [3,7]using five approximating…

A: Given: f(x)=1/(x2+2)  over interval [a,b]=[3,7] and n=5

Q: Estimate the area under the graph of f(x) = x° between x = 0 and x = 4 using each finite…

A: Given,  f(x)=x3 and a=0 and b=4

Q: Use the Midpoint Rule with n = 3 to approximate the integral 6.

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Q: Approximate the area between f (x) = x² + 6x + 5 and the x -axis on the interval [0, 2] using 4…

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Q: Find the area between the curve y = x² + 7x + 12 and the x-axis from x = -3 to x = -1. Step 1 Notice…

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Q: Find the area bounded by the curve f(x) = -x² + 10 and the x-axis. Give your answer correct to two…

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Q: Estimate the area under the graph of f(x) = 2x between x= 0 and x = 8 using each finite…

A: Width of the interval [0,8] is (8-0)=8For two subintervals , width of each interval=82=4So the…

Q: Estimate the area under the graph of f(x) = 36 – 2 over the interval [– 3, 4] using ten…

A: We need to find area using Reimann sum.

Q: Estimate the area under the graph of f(x) = x² + 3x + 1 over the interval [2, 4] using ten…

A: Given function: fx=x2+3x+1 Interval: [2, 4]Number of rectangles = 10 To find: The area under the…

Q: Estimate the area under the graph of f(x) = x + 3 over the interval [ - 3, 1] using eight…

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Q: Using left endpoints, approximate the area under the curve of f(x) =3x^(2) + 1 over the interval [0,…

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Q: Evaluate the definite integral that represents the area of the surface generated by revolving the…

A: to find:- surface area of revolution about x axis.

Q: The area under the curve y = 2x bounded from below bythe x-axis and on the right by x = 4 is 16 3…

A: Given that the area under the curve y=2xwe need find the area below the x-axis and the right by x=4

Q: the area between the curves x^(2) and x^(4)

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Q: Estimate the area under the graph of the function f (x) = Vx + 4 from x = -2 to x = 5 using a…

A: Given that, Interval [-2, 5] and n = 10. Hence we have to form 10 subintervals of an interval [-2,…

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of y = - x+ 9x between x = 1…

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Q: Use the mid-ordinate rule with four intervals to evaluate the integral Type your final answer below…

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Q: Estimate the area under the graph of f(x) = x° between x = 0 and x= 4 using each finite…

A: Given: f(x)=x3   between x=0 and x-4

Q: Estimate the area under the graph of f(x)=9−x2 over the interval [−2,3] using five approximating…

A: The width of the interval [-2,3] is = 3-(-2)=5So the width of each sub-interval=∆x=55=1So the…

Q: Estimate the area under the graph of f(æ) = 1 over the x2 + 4 interval [2, 6] using four…

A: Apply Riemann left and right sum formula as below:

Q: Find the area of the region bounded by f (x) = a /20 – 3x – 2x² and the x -axis using Trapezoidal…

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Q: Use a finite sum to estimate the area under the curve using the midpoint rule f(x)=x^3 on the…

A: Width of the interval [0,2] is = 2-0=2So for two rectangles the width of the subintervals=∆x=22=1So…

Q: Estimate the area under the graph of the function f (x) = Vx +4 from x = -2 to x = 5 using a Riemann…

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Q: Estimate the area under the graph of f(x) : 1 over the interval [- 1, 1] using ten approximating…

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Q: mpute the integral of f(x) = 3x from a = 0 to b = 9 with 3 sub-intervals using lowing integral…

A: In this question, the concept of numerical integration is applied. Given, fx=3x,a=0,b=9,n=3 The…

Q: area bounded between y=3x+2 and y=-x^2+2

A: here we have to find the area bounded between the curve y=3x+2......(1) and y=-x2+2x+4.....(2)

Q: Estimate the area under the graph of the function f(x)=√x+4 from x=−2 to x=4 using a Riemann sum…

A: Consider the given function fx=x+4 from x=−2 to x=4, that is, -2,4, using a Riemann sum with  n=10…

Q: Estimate the area under the graph of f(x) = x² – 2x + 5 over the interval [0, 7] using ten…

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Q: Find

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Q: Find the area bounded by the curve f(x) = -x² + 7 and the x-axis. Give your answer correct to two…

A: We have to find Area bounded by the given curve and x-axis.

Q: Estimate the area of the region bound by the graph of f(x) = x^2 + 3x and the x-axis on [2,5] using…

A: The solution is given below

Q: Estimate the area under the graph of f(x) = x + 3x +1 over the interval [2, 4] using eight…

A: Given function fx=x2+3x+1 over interval [2, 4] and number of sub intervals, n=8. ∆x=b-an=4-28∆x=14…

Q: Determine the exact area of the region bound by the graph of f (x) = –x² + 5 and the x-axis on [-1,…

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Q: Estimate the area under the graph of f(x)=36−x2f(x)=36-x2 over the interval [−5,2] using five…

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Q: Find the area under the curve f(x) = x° on x =[- 2.5, 5.5] using the Midpoint Rule with n = 8

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Q: Approximate the area under the curve y=1/x from x=1 to x=4 using the left endpoint estimate with six…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Use the Midpoint Rule to estimate the integral. n=4

A: Since we have been given up the integral ∫191xdxOur aim is to estimate the integral till n=4 using…

Q: Estimate

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Q: Use finite approximation to estimate the area under the graph of f(x) = 8x² and above the graph of…

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