. Find a number k > 0 such that the area of the region bounded by the curves y = x², and y =k – x2 is 72 unit?.

Q: What is the area of the region bounded between the graphs of x= y + 1 and r = 3- y? O 7/2 O none of…

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Q: Given an area D bounded by a cardioid r = 1 + cos θ, θ ∈ [0, π], x-axis, and it’s located on the…

A: If the curve is given by , where   .The area inside the  curve is  .

Q: Find the area of the region bounded above by y = x + 2 and below by y => X 542 1 1 2 3 4 5 -2 -3 O O…

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Q: 1.) Find the area bounded by the region x = 4y + 4 and y= x+ 2

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Q: i. Find the exact area between f(x) 7x + 10, the x-axis, x 0, and x = 5.

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

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: Find the area enclosed by the given curves. Find the area between the curves y = In x and y = In 2x…

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Q: Consider figure 1 from the previous question, find the area bounded by the curves on the interval O…

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Q: The graph of the area between the curves f(x) = x and g(x) = x^2 on interval [0,2] O. O X & Y in…

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Q: Find the area of the region between y = sin x and the x-axis on 77 O A. O sq. un. O B. "un bs O C. 1…

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Q: b. Set up the definite integral that gives the area of the region inside the limaçon but outside the…

A: The area between any 2 polar curves is given by the formula   where r is the polar curve and is the…

Q: ind the area of the region bounded by the graphs of the given equations. y = 2 x + 24, y = x2

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Q: 3. Find the area bounded on the right by x+y=2, and on the left by y=x and below by x-axis.

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Q: Give area of the region enclosed by y and y = 0 from x = 1 to x = 3. 2 A. 2 В. 3.4 С. 1.5 D. 1

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Q: Approximate the area under the curve of y = x² - 2x + 3 over the interval x = -1 to x = 3 using 4…

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Q: 2. Find the area bounded by the curves y² = x and x = 2y – y² as shown. x = 2y – y? -y² = x ( 1,1)…

A: given ,

Q: 7. Find the area bounded by the curve y = x? +x + 4, the x-axis and the ordinates x = 1 and x = 3.

A: Given; y=x^2+x+4

Q: 11. Find the area of the region enclosed by x+y? = 0 and r+3y? = 2.

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Q: 28. Find the area, if it is finite, of the region under the graph of y = 1/V(3x – 2)³ over [6, *).

A: area =∫6∞ydx

Q: 31. Find the area of the finite region bounded by the curves y = x(10 - x) and y = x (3x+ 2).

A: Q 31 Consider the curves, y=x10-x   and    y=x3x+2 To calculate the intersecting points between the…

Q: 2. Find the total area of the finite region bounded by y= sin x , the x - axis , From X=o to x = 21

A: Given- y=sinx To Find- The total area covered by the above curve and the x-axis from x=0 to x=2π.…

Q: Give area of the region enclosed by y and y = 0 from x = 1 to x = 3 2 А. 2 В. 3.4 С. 1.5 D. 1

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Q: 3. Find the area bounded by the curve ay2 = r and the line x= 4 a. Ans. 142 a=

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Q: Find the area under the given curve over the indicated interval. y =x +6x+ 1; [3, 5]

A: To find area under the curve we use definite integrals.

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: Find the area of the region bounded by the given curve: r = 5e° 4 on the interval =<O< 2n. 5

A: The area of the curve r=f(θ) is A=12∫abr2dθ.

Q: 3. Find the area of the region bounded above by y=e*, bounded below by y = x, and bounded on the…

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Q: The area bounded by the curve y = 6x , the x-axis and the ordinates x = = 0, x = 2 is 6 O 3 O 12 O…

A: area bounded by curve and x axis given by integrating curve

Q: Which of the following corresponds to the total area bounded by the curve y= x - 3x +2x and by the…

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Q: Find the area of the region bounded by the following curves, showing all workings: x=1, x 4, y =x² -…

A: For the cartesian curves y1=f1(x) and y2=f2(x) where y2&gt;y1 in the limit x=a to x=b, the area…

Q: Find the area between the y-axis and the graph X = 1 on the interval 3, 6]. 7 5- 4 3 2 ++++ ++++ 54…

A: The area formed is of trapezium

Q: 3. Find the area bounded by the graph of the indicated equations over the given intervals (when…

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Q: Find the area イA Sorfrca of Sivon By F(K, )=4+x ty? over the region bounded by Y: 7ービ と

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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: The area, under the graph of y=x^2 from x= 0 to x= 1, is: y=r² O 1/3 O-1/3 O o *

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Q: Find the area under the graph y =- on the interval 1, 3|. 2+ 1 1 3 4 O -1.100 -0.100 O 0.100 O 1.100…

A: Find the area under the graph y= 1/x on the interval [1,3] .

Q: (b) Show that the area bounded by y? = 4ax %3D and x? = 4ay is 10 a2. 3

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Q: Let n be a positive integer. Find the area between the curves y y = xn+1 as a formula in terms of n.…

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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: 16. Find the area of the region bounded by the given curve: r = 9eº on the interval ≤0 ≤ 2m.

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Q: Find the area of the region bounded by the given curve: r = 9e° on the interval 9

A: Given a curve : r=9eθ We need to find the area of the region bounded by the given curve on the…

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: (a) Find the area of the region bounded by the given curves a x = e.

A: Solved below.

Q: Find the area of the region bounded by the given curve: r = 5e° 6. on the interval 5"

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Q: Find the area of the region bounded by the given curve: r = 3e° %3D 4 on the interval <O< 27.

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Q: Which of the following gives the area of the region between the graphs of y =x5 and y = x from x= 0…

A: Graph of given curves will be

Q: Find the area between the y-axis and the graph X = /y on the interval 1, 4]. 4 3- 2- -1 0 1 2 3 O 16…

A: The given question has been solved in detail and option (c) 14/3 is the correct answer.

Q: 1. Find the area of the finite region enclosed by у%3D — (х + 1)(х — 3) аnd y %3 0 | -

A: Given: y = -x+1x-3,  y = 0 To find: The area of the finite region enclosed by  y = -x+1x-3, y = 0.

Q: 1. Sketch the region el/x S = (x, y)|0 < x < 1, 0 <ys roughly. Find its area(if the area is finite).

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Q: Find the area, if it exists, of the region under the curve on the given interval of the x-axis. 1…

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