1.8 An area of a region bounded by a curve y = f (x), x axis and lines x = a and y = b for (b > a) may be given as: S' xdx а. b. ydy S. ydx С. d. S xydx Sa xdy е.

Q: 5 Find the area under the curve y over the interval [0, 1]. (4x + 4)2 Enter the exact answer. area =

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Q: Verify that the area under the curve y = 1/x from x = 1 to x = m equals 2m, the area from x = 3 to x…

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Q: 1.) Calculate the area under the curve y= y= 7- x, from x=- to X= 2

A: Given: y=7-x2  from x=-1 to x=2

Q: y = 5x, [1,2]

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Q: 15 Find the exact area enclosed between the curve y = v4 – x and the line r-y+2 0.

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Q: 1200 1100 1000 900 800 700 600 500 400 300 200 100 100 Find the (exact) area under the curve y = 4x*…

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Q: 1. Find the area bounded by the curve y In x and the %3D lines y = 0 and x = e.

A: Given curve is: y=lnx and the line y=0 and x=e Area of bounded regions: Let y=f(x) be a continuous…

Q: 9. (a) Calculate the area of the region bounded by the curves y = x² +1 and y = xª between x = 0 and…

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Q: 6. Find the area bounded by the curve ay = x² and the lines y = a and y = 4a.

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Q: If Ls is the sum of the approximating rectangles for the area under the curve y =| cos z from 87 to…

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Q: (b) Compute the total area between the curve and the x-axis over the interval [-1,9]. y = f(t) 10…

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Q: I. FIND THE AREA BOUNDED BY THE FF CURVES AND LINES: 1. The loop of y = x *(4 - x) 2. у %3 бх - х, y…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 9. (20 pts) Find the area between (bounded) by the curves y = x² + 10x and y=2x+9.

A: Given: curves y=x^2+10x , y=2x+9 We have to find the area between the curves

Q: L2 If L, is the sum of the approximating rectangles for the area under the curve y= cos z from 8x to…

A: Reimann sum

Q: 26. Given two curves as follow: a) b) y = -x² - 1 y=x²+x=2 Sketch and shade the region bounded by…

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Q: 1. Find the area bounded between the curves: y = x°, x = 1, and y -8

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Q: 1. Find the area under the curve y a. f(x) = x³ [2,3] b. f(x) = 3√x [1,4] (x) over the stated…

A: a) fx=x3          2,3 b) fx=3x          1,4 Find the area under the curve y=fx over the stated…

Q: 1. Find the total area bounded by the curves y=x²-3x and y = x³ + x² −12x.

A: Given Graphs y=x2-3xy=x3+x2-12x First we find point of intersection of graphs…

Q: 1. Find the area of the region bounded by the ves y = x³ – 5x + 6, y = 10 – 4x – 4x2 and the line x…

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Q: In(6z) – 1 Find the area of the region lying between the x-axis and the curve y = to the right of…

A: The area of the region lying between the x-axis and the curve yx=ln6x-1x2 to the right of the line…

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: 7 Find the area under the curve y = x over the interval [1, 5]

A: Please refer to the image below

Q: 8. Find the area between the curves y = x x² and y = x2 – 4x between x = O and x = 2.

A: For calculating the area between curves first of all we will draw the schematic diagram of the…

Q: In(5z) – 1 to Find the area of the region lying between the r-axis and the curve y the right of the…

A: Using integration by parts,

Q: 1. Find the area bounded by the curve y = x^2, the x- axis, and the ordinates x = 1 and x = 3.

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Q: 1)Find the area bounded by the given curves. a)y = 3x2 − 12 and y = 0 b)y = x2 − 2 and y = 10 −…

A: we have been given the function y=3x2-12 and y=0 and the formula of the area under the curve is…

Q: 1. Find the area of the region bounded by the given curves. a) y = 2x° - x² - 5x + 4, y= - x² +3x…

A: We have to find the bounded area by curves

Q: If f(x) = a +2a + 4, then the estimation of the area under the curve y = f(x) between 1 <r < 2 with…

A: We have to choose correct option

Q: 6. Find the area bounded by: d. The curves y=x-4, y38-2x.

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Q: 4/2 x2 -1 for [0, 1]. Find the length of the curve y=- Find the area of the curve bounded by the…

A: (7)We will find the length of the curve.

Q: Approximate the area under the curve of y =-+x+5 over the interval x = -1 to x = 4 using 5 left…

A: Formula: Using left end points AL = Δx[f(xo)+f(x1)+......+f(xn-1)

Q: Find the area under the curve of y = x+3 fiom =-3 to x= 1 with and circumsaribed rectangles. O 26…

A: We need to find area under curve.

Q: 1. Find the area bounded by the curves y = 3x'+1 x=0 y= 3x+1 x-1 А. 3/2 5 В. 3/4 2 С. 1/4 -2 -1/0 21…

A: y = 3x3+1 , y = 3x + 1

Q: 1) Sketch the region enclosed by the given curves and find its area. 1 y = x for x > 0 ||

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Q: 12 Find the area under the curve y = over the interval [ – 1, 1]. (x + 2)² area = i

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Q: Approximate the area under the curve of y = x² + 3 over the interval x = -3 to x = 1 using 4…

A: Recall: Trapezoidal rule  Area=∫abf(x)dx≈∆x2fx0+2fx1+2fx2+···+2fxn-1+fxn where, ∆x=b-a2 We have,…

Q: 5. Given the region R bounded by y = 4-x² and the x-axis, find the horizontal ine y = k that divides…

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Q: 4. Find the area bounded by the given curves:y² = x + 4, x - 2y + 1 = 0

A: Answer is given in next step.

Q: 3. Find the area bounded by the curve y = - x² x = 1, and the x-axis. %3D x4 – 16

A: We first sketch the region using a graphing calculator.

Q: (b) A Curve is drawn to pass through the following points: t 1 1.5 2 2.5 2 2.4 2.7 2.8 Find the area…

A: Simpsons 3/8 rule is used to approximate definite integrals. The integral can be approximated to…

Q: 1 6. Find the number a such that the line x = a bisects the area under the curve y =

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Q: 1/ Find the area of the region enclosed between the curves y= 2r'+10 and y=4x+16 and x=-2 and x=5?…

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Q: 1. Find the area bounded by the curves between the curve y=1+x and the line y-1 x

A: area between curve

Q: Find the area under the given curve over the indicated interval. y =x*; (1, 3]

A: The area under the given curve = 48.4

Q: Find the area under the curve y = over the interval [4, 7]. (4x + 3)2 Enter the exact answer. area =

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Q: 7- The area of the (bounded) region between the line y = x quadrant is and the curve y = x² in the…

A: 7) The area of the region between the line y=x and y=x2 in the first quadrant. First we draw the…

Q: 18. Find the area of the region enclosed by the curve y = (1- x)²; 0<x< 1. (in QI)

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Q: 9) Find the area bounded under the curve y = x+2 and y=x² – 4.

A: