Sketch the region enclosed by the given curves. y = 14 – x2, y = x² - 4 y y 15- 15| 10 10 5 5 -6 -6 -2 2 -5F y y 5- 5- 6 4 -6 -4 -2 2 4 -5 -5 -10 -10 - 15 -15F Find its area.

Q: Find the area of the region bounded by the curve ,2-4r and the lines x = 1 and x = 4. 63/2 square…

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Q: Sketch the region enclosed by the given curves. y = 3/x, y = 12x, y = 12 x > 0 y y 8- 8- 6 4 2 4 8…

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Q: Find the area of the region(s) enclosed by the curve y = |2x - 6|, the x-axis, and the lines x = 0…

A: Given: y=2x-6x=0 and x=4

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: Find the area of the region bounded by the curve y2= 4x and the lines x = 1 and x = 4. O 21/2 square…

A: Here is the solution

Q: Find the area of the region bounded by graphs of the two curves

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Q: Sketch the region enclosed by the given curves. y = 17xl, y = x2 - 8 y 40 4아 20 20 ma x -20 -40 50…

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Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. A 21/2 square…

A: Given the curve y2=4x and the lines x=1 and x=4

Q: Find the area of the region bounded by the curve y2=4x and the lines x= 1 and x = 4. A 63/2 square…

A: We have to find the area bounded by the region between x=1 to 4.

Q: 6.(. Find the area of the region enclosed by the curves y = x² +1 and y = x +3.

A: I am solving this in step 2

Q: Find the area of the region enclosed by the curves y=x2−2 and y=2.

A: Integration is done after calculating the intersection points of both the equations.

Q: Find the area of the region bounded by the curves y = x² and y = - x² + 4x. 9/4 11/3 12/15 8/3 none…

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Q: Find the area of the region bounded by the curves y = y = -x² + 4x. 9/4 11/3 12/15 8/3 none of the…

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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: Sketch the region enclosed by the given curves. y = 8x, y =x, y = 2/x, У 6F 6F 4 1 4 У 3 3 1 3 4…

A: First of all, plot the curves y = 2/x, y = 8x and y = (1/8) x using the graphing utility.Consider…

Q: Determine the area of the region enclosed by the curves y - 3x = 2 and 2x² - 4-2y = 0. Do not…

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Q: Q5/ Find the area of the region enclosed by the curve y² - 4x = 4 and the line 4x - y = 16. 3,6 16…

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Q: Find the area of the region enclosed by the curves y = 4 24 8 16 x³ and y = 4x.

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Q: Sketch the region enclosed by the given curves. y = 13 – x2, y = x² – 5 y y 5 -6 -4 - 2 4 6 -6 -4 -2…

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Q: Find the area of the region bounded by the curves y + 2 = Vã and y = x - 2 а. b. 1 6 С. 1 6 d. 5 16

A: First of all equate both the equations and get the intersect points

Q: Find the area of the region bounded by the following curves. y  =  x2 + 4x,     y  =  160 − x2

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Q: Graph the equations and shade the area of the region between the curves. y = |x| and y = x2 %3D y y…

A: The given functions are y=x and y=x2

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. 24 square…

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Q: Sketch the region enclosed by the given curves. x - 6y, x- 20 + y2 VAVA -3 -2 -1 2 -10 15 -25 -15…

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Q: Compute the area of the region enclosed by the lines y = r and r and the curve r = 10 – 2y y = The…

A: Area of the shaded region between x =f(y) and x= g(y) :     If f(y) and g(y) are two continuous…

Q: x+ y = 6 6x y = X+1

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Q: Find the area of the region bounded by the curve 2-4r and the lines x = 1 and x = 4 O 63/2 square…

A: Please refer to the image below

Q: Sketch the region enclosed by the given curves. y= 13x1, y = x² - 4 y 15 15 10 10 -2 -1 -4 Find the…

A: Given that, y = l3xl    and    y = x2-4 we have to sketch the enclosed region and also find the…

Q: Sketch the region enclosed by the given curves. x = 5y2, x = 16 + y? y y 3 -3 -2 -1 1 2 2 - 10 10 15…

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Q: Find the area of the region enclosed by the curves x + y² = 3 and 4x+ y? 0 %3D

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Q: Sketch the region enclosed by the given curves.  y = x^1/2 y=1/2x x=9

A: The graph of the function y=x12

Q: The area of the region bounded by the curves y = 4x? 3 22 and the lines æ = 1 and x = 5 and y is

A: Here is the solution of the given problem

Q: Find the area of the region enclosed by the given curves. y = 13-x2, y=x2-5

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Q: Find the area of the region bounded by the curve 2-4r and the lines x = 1 and x = 4. 63/2 square…

A:

Q: Find the area of the region bounded by the curve y2–4r and the lines x = 1 and x = 4. 24 square…

A: area of the region can be obtained by definite integral of the function within given limits. here we…

Q: Sketch the region enclosed by the given curves. y = 12 – x2, y = x² – 6 y 5

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Q: Sketch the region enclosed by the given curves. y = 14 - x2, y = x2 – 4 y y 15| 5- 10 -6 -4 -2 2 5…

A: Given Data: Function 1: y=14-x2 ......1 Function 2: y=x2-4 ......2 For x=0, Substitute 0 for x in…

Q: Sketch the region enclosed by the given curves. y = /x, y =x, X = 25

A: The area of the region is calculated using the formula where a and b are the points where the 2…

Q: Sketch the region enclosed by the given curves. y =2 y= 8x, y= 극x, x > 0 y 5 4 3 2 1 -1. 1 3 2.

A: Given: y=2x, y=8x, y=x2, x>0

Q: Find the area of the region enclosed by the curves y = | x²- 4 | and y = 4 + x² / 2

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Q: Sketch the region enclosed by the given curves. y = ex, y = x2 – 4, x= -2, x = 2

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Q: Sketch the region enclosed by the given curves. x = 7y?, x = 3 + 4y2 y 가

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Q: Sketch the region enclosed by the given curves. y = 14x|, y = x2 - 5 y 15

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Q: Sketch the region enclosed by the given curves. y = |10x|,    y = x2 − 11

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Q: y=x? y=4x-x² 4 > 2 -2 -4 -1 1 3

A: Here we will find the area between the curves,

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

A: This question is related to definite integration, we will solve it using given information

Q: Find the area of the region enclosed by the curve y=e¬5x and the lines y=1 and x=2. .e-10 + 으 10 10…

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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: Sketch the region enclosed by the given curves. y = 15 – x2, y = x² – 3

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Q: (iii) x=-y² +10 x = (y- 2) -1 -가

A: