4 Find the total area of the region bounded by curves y = x 3 – x, x E [-1,8] 83 4 25 3 45 12

Q: The area bounded by the curve y = x*, x- axis and the lines x=1 and x=2 is_ O A. 21 5 О в. 31 5 ос.…

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Q: 3. Find the area of the region enclosed by the curves y = x² + 2, y = -x, x = 0, and x = 1. (a) (c)…

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Q: 1+x² 1. Find the area of the region bounded by the curve y=- 2x² and the lines y = 0, y = x, x = 2.

A: Given problem:-  1. Find the area of the region bounded by the curve y=(1+x2)/2x2 and the lines y =…

Q: 11. Find the area of the region bounded byy = (x - 1)² + 1, the x -axis, x = -1, and x = 2. A. -6 C.…

A: Here we are using integration method to find the area of the given region.

Q: What is the area of restricted region between the curves y = -2x2, 2 and x -axis? 7/12 13/12 O 1/12…

A: solution of the given problem is below...

Q: 14 12

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Q: Find the area of the region bounded above by y = -x² + 2 and below by y = x². 4 3 2 & A wit 543-2-11…

A: Given the curves y=-x2+2 and y=x2 . The objective is to find the area of the region bounded above by…

Q: 34. Evaluate || (x2 + y²) d A, where R is the region in the first R quadrant bounded by y = 0, y =…

A: Draw the region, R as follows: The region, R can be divided into two regions, R1 and R2 as shown.…

Q: (10,00 Puanlar) 6- Find the area of the region bounded by the curves y – 3x = 4 and 3x- 2y = 11. 124…

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Q: A sketch of the region enclosed by y = x and y = 2 2 7 Area of the region 24 wo Q 7.5x x² + 1…

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Q: (a) Find the region enclosed R by the curves y = x2 - 2x +1 and y = -x + 2x +7.

A: Let f(x) and g(x) are two continuous functions and fx ≥ gx on the  closed interval a, b. Then the…

Q: 1. Find the area of the surface z = k + xy inside the cylinder x² + y² = R² for constant R. k > 0 is…

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Q: 7. Find the area of the region bounded by y = , y = x, y = 1 .10

A: To find : The region bounded by curves ,  y=x24y=xy=1

Q: The area of the region enclosed by the curves y=x,y= - x, x= 1, x = 4 is Select one: O a. 4 O b. 11…

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Q: 4. Calculate the area of the bounded region = y' +3 y=3 -=1 y=-1 -1 4 5 6 7 9 10 11 12 A. 52/3 С.…

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

Q: 1+x² 1. Find the area of the region bounded by the curve y=- and the lines y = 0, y = x, x = 2. 2x2

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Q: 3/ Find the area of the region enclosed between the curves y= x' and x= y? مساعدة 18 الدالتين 16 رسم…

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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: 1. Find the area of the region bounded above by the curve y = 2e-* + x, below by the curve y = , on…

A: We have to find out the area of the region bounded above by the curve   y = 2e-x + x , below by the…

Q: 2. Find the area of the region bounded byx = 4y – yʻ, and x =y. -2+ 15 A) square units 2 C) square…

A: The area under the curve is obtained by using double integration I=∫ab∫f(x)g(x)dydx or…

Q: Find the area of the region bounded above by y = x2 - 3x - 4 and below by y = x+ 1. AY 8 6 4 2- 23 4…

A: we have to find the area of the bounded region .

Q: The area of the region bounded by x = /9-y2, the y-axis and the line x-y in the first quadrant is: O…

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Q: Find the area of the shaded region. y 14 (1, 5e) 12 10 y= 5 e 8 2 y= 5 xe -1.0 -0.5 0.5 1.0 1.5 2.0

A: Given,  The graph of  y = 5ex  and  y=5xex2  Point of intersection of the graph is 1, 5e  We have to…

Q: 3. The area of the region under the curve y = 6z bounded by the lines z = 3 and z = 5 above the…

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Q: (10,00 Puanlar) 6- Find the area of the region bounded by the curves y - 3x = 4 and 3x- 2y = 11. 134…

A: The given curves are: y2-3x=43x-2y=11

Q: 17-Graph of the function y = x^3 What is the area of the region bounded by the lines y = 0, y =1 and…

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Q: 9. a) Find the area of the region bounded by the y = Vx and y = x 1 graphs of (set both equal and…

A: To find the area of the region bounded by the curve and a line , find the intersection of both and…

Q: D. Find the area of the region bounded by the given curves. Breaking 1 NEWS x2 = 4y 3 y? = 4x %3D 2.

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Q: What is the area of the region in the first quadrant bounded above by y = -2x + 8 and below by y =…

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Q: Find the area of the shaded region. 20 (1, 7e) 15 y= 7e 10 5 -1.0 -0.5 0.5 1.0 1.5 2.0

A: Here, let f(x)=7ex and g(x)=7xex2

Q: 5. Evaluate z dV where E is the region bounded below by x2 + y? + z2 = 4 and above %3D E by x? + y?…

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Q: 7. The area bounded by y = , y = -x² ,x = 1 and x = 2 equals 14 А. 17 В. 6. 19 С. 3 D. 6

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Q: 1. Find the area of the region enclosed by the given curves. a) y - x² = 2x and x + 4 = y b) x = y¹,…

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Q: 5. Evaluate f, xe dA , over the region R in the first quadrant bounded by the graphs of y = x? ,x =…

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Q: α=4    β=5    γ=9    λ=2    θ=6    η=4   ω=1 ω = 1 ⇒ f(x) = α cos λx Find the area of the region…

A: Given function, f(x) =  α cos λx. Let us plug given value α=4 and λ=2 in original function. We will…

Q: 9-1. Find the total area of the regions enclosed by the given curves: (a) x = y2 and x = y+2 (d) y =…

A: First find out the intersection points of both the curves than integrate in that interval with…

Q: 5. Calculate the area of the bounded region. r = y² -2 A. 16/3 r =-y B. 8/3 0. -1 C. 9/2 D. 9

A: The objective of the question is evaluate the area of bounded region.

Q: Find the area of the region between the curve y = 3 - x² and the line y = 1 -x from x = 0 and x = 2.…

A: The region between the curve y=3-x2 and the line y=1-x from x=0 to x=2

Q: Estimate the value of k (0 < k < 1) so that the region enclosed by y = 1/√1−x2, y = x, x = 0,…

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Q: Find the area of the region bounded above by y = -x2-3x-2 and below by y = -2. AY 51 4 3 54 32 t 1 2…

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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: R is the region bounded by x = y? + 1 and x = 9 – y² and the axis of revolution is x = 9.

A: Given that,

Q: 7. What is the area bounded by the curve y=x and the line x-4=0? A. 10 32 B. 3 C. 32 D. 11

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Q: What is the area (in square units) of the region bounded by the graphs of y =x2+2, and the x axis…

A: Here we find the area using integration.

Q: 4.5x follows. A sketch of the region enclosed by y = x and y = a2 + 1 2- -2 -1 -2 Area of the region…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 13. Find the area bounded by the curve y=- y=2 and a lower limit of y=10. A. 1.61 C. 1.81 B. 2.61 D.…

A: Area

Q: 1) The region R in the first quadrant is bounded from above by y = 2x+9 and below by y = x² +3. Find…

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Q: Find the area of the shaded region. y 20 (1, 7e) 15 y = 7e* 10 5 y=7xe* X -1.0 -0.5 0.5 1.0 1.5 2.0

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Q: Find the area of the region in the first quadrant bounded above by y = -x² + 6 and below by y = x. 4…

A: Solution of given question is written in below steps.

Q: 9- The graph of the function y = x^3 What is the area of the region bounded by the lines y = 0, y =…

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