find the total area between the region and thex-axis. y = 3x2 - 3, -2≤ x ≤ 2

Q: Find the area of the shaded region. y y=9x-x² 20 15 7, 14) 10 y= 2 x 2 4 6. 8 10

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Q: Find the area of the region enclosed by y = 4 / x, y = 4x and x=2

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Q: Find the area of the shaded region. y 8 y= 5 x – x 6. (3, 6) 4 2 y= 2 x X -1 4 5 2.

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Q: Find the total area of the region between the curve and the x-axis. y= 2x-x2; 0sxs2

A: Explanation: Given curve is: y=2x-x2 Here x is from 0 to 2 To find the total area between the curve…

Q: Find the area of the region below y=x^2−x+2 and above y=2 for 3≤x≤6.

A: The given curves are y=x2−x+2 and y=2 and the interval is 3≤x≤6 To find the area of the region.

Q: Find the area of the region enclosed by: y = x³ and Y = = x4

A: Given curves are  y=x3 and y=x4 Point of intersection of the curves are obtained as follows.…

Q: Find the total area of the region between the curve and the x-axis. 24) y = x2(x- 2)2; 0sxs2 15 A) -…

A: The graph of the bounded region is as shown above. As shown draw a stipe parallel to y-axis. So, y…

Q: Q5 (a) Find the area of the region enclosed by the lines and curves, y=x' -2,and y =2

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: Find the area of the shaded region. 8 y=5 x- x (3, 6) 2 y=2 x 1 21 4.

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Q: Find the total area between the region and the x- axis. y = x3 – 3x? + 2x -1 sxs2

A: Consider the curves, y=x3-3x2+2x  ;       -1≤x≤2

Q: (b) Find the total areas of the shaded region. y = x} y = -2x4 2.

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Q: Find the area of the region below y = x² + x – 2 and above y = 6 for 3 < x < 6.

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Q: Find the total area of the shaded region. Ay 10 Q 6- y = 5 y=x y= 2- 20 10

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Q: Find the area of the region bounded by x = y? – 4 and y -5 10 15 6,

A: Area is 26.167

Q: Find the area of the unbounded shaded region. y = 4xe-2x? y 1 0.5 2

A: Topic-Application of integration

Q: Find the area of the region enclosed by y = 16x and y = 2x*.

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Q: Find the area of the region enclosed by y = 4- ², y = -x+2, r = -2, and r = 3.

A: Area under the curve is obtained by using the double integration  The integration is given as…

Q: Find the area of the region below y = x² + x – 4 and above y = 6 for 3 < x < 6.

A: • First, we need to sketch the given parabola and identify the region whose area is to be found.…

Q: Find the area of the shaded region. y y=5x-x (3, 6) 4 2 y=2 x 1 2 3 4

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Q: Determine the area of the region bounded by y 8 , y = 2x and x = 4. 0.50 3.35 6.45

A: Given curves are y=8x,  y=2x  and x=4 Take  fx=8x,  gx=2x

Q: Find the total area between the region and the x- axis. y = x3 – 4x ; -2<x<2 -

A: Given: y=x3-4x The graph of the given function is,

Q: Find the area of the region between y = x2 + 9 and y = 2x + 10

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Q: Find the area of the shaded region. y X = y 6 x = 27 / y? 6

A: *to find:- Area, A under the closed region. *concept:- take horizontal elemental strip of length dx…

Q: 4. Find the area of the region enclosed by y = –x² + 6, y = x, y = 5x, and x 0.

A: Area bounded by the region y=-x2+6, y=x and y=5xFirst we sketch the region

Q: Find the area of the region below y= x^2- 4x+11 and above y=6 for 3≤X≤5

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Q: Find the total area of the region between the curve and the x-axis. y = -x2 + 9; 0 s x s5 Select…

A: First I have written the formula of area between a curve and x-axis , just use tha formula for given…

Q: Find the area of the region that is enclosed between y 14x? – x³ + x and y = x? + 41x. The area is

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Q: Find the area enclosed by x - y = 0 and 5x – y = 16

A: We will solve the following.

Q: Find the total area of the region y%= -x-+ 9;0< x 5 05 6. O 10 6. 10 3 98 3

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Q: Find the area of the region bounded by y²= 8x and ? = x please include graph and solution

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Q: 3. Find the total area between the given region and the x-axis .2 a) y = -x - 2x,-3 < x < 2 b) y =…

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Q: Find the area of the region enclosed by x = y³ and x = у - 6.

A: Given: x=y3, x=y-6 For finding areaA of the region enclosed by given curves, we draw graph of both…

Q: Find the total area of the rose curve. r = 3cos(2theta)

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Q: Find the area of the region below y=x2−x+2 and above y=3 for 2≤x≤6. Area =

A: The objective is to find the area of the region.

Q: Find the area of the region. y 5- 4. 10 15 20 25 3. 2.

A: We will be using integration method to find the area under the curve. y = 5/√x From the graph, When…

Q: b) Find the total area between the region and the x- axis. y= x – 4x ; -2<x<2

A: Given equation is                    y=x4-4x

Q: Find the area of the region that is enclosed between y = 6x² – 2³ + ¤ and y = z² + 5z. The area is

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Q: Find the area of the region enclosed by y = 4 – x², y = –x + 2, x = -2, and x = 3.

A: Given: - The region enclosed by y=4-x2, y=-x+2, x=-2 and x=3 To find: - The area of the given region…

Q: Find the area of the shaded region. x = -y 2 x = 2 - -2 A B 10 3 2.

A: Given query is to find the area of the shaded region.

Q: Find the area of the region enclosed between f(x) = x? – x + 20 and g(x) = 2x? – 2x. Area = .. ...…

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Q: Find the area of the given region. y = x − x2

A: The given region is the colored portion of the following graph: Lower limit of x value is 0 and the…

Q: Find the area of the shaded region. y y = x 2 11, 1) X= 27 1 y= 5 10 15 20 25 3.

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Q: find the total area between the region and thex-axis. y = -x2 - 2x, -3 ≤ x ≤ 2

A: The region and the x-axis given is y = -x2 - 2x, -3 ≤ x ≤ 2. To find the area  between the region…

Q: Find the area of the shaded region. X = y 6 x = 27 / y2 6.

A: Area between the curve x=f(y) and x=g(y) on [a, b] is, A=∫abfy-gydy

Q: Find the area of the region. y = 81 – x4 y 80 60 40 - 4 -2 2 4 20

A: From the graph calculate the region for the integration.

Q: Ive the area of the region bounded by y=x²– 3x+ 12 and by y=18+x-x? A) -199 B 199/3 c) 63 D -10/3

A: Given query is to find the area bounded by the region.

Q: Find the area of the shaded region. y = x² + 1 ... 5 y = x -1 2.

A: In given problem we find the area by using the Definite Integration .

Q: Find the area of the region enclosed by x=y³ and x=√y-6

A: Given: x=y3, x=y-6 For finding areaA of the region enclosed by given curves, we draw graph of both…

Q: nd the total area of the shaded regions. Ay 25 y= X 25 = 20- 15 10 5- -8 -4 -2 (5- 9. -10- 寸

A: Given query is to find the total area of the shaded region.