Find the number 6 such that the line y = 6 divides the region bounded by the curves y = x2 and y = 36 into two regions with equal area.

Q: Find the area bounded by the curve 4 square units O 16 square units O 8 square units 10 square units…

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Q: The area of the region bounded by the two curves y = x²and y 25 is Square Units

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Q: Find the area bounded by the curve y=-x³ 16 (A) 8 square units B) 4 square units C) 16 square units…

A: Take the integral of the first curve minus the second curve.

Q: Find the number b such that the line y = b divides the region bounded by the curves y = 16x2 and y =…

A: It is given that, y=16x2y=9   Area under the bounded region can be calculated by using,…

Q: Find the number k> 0 such that the region bounded by the curves y = x² and y = kx has area 9 square…

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Q: Find the aren of the region in the tirst quadrant baunded by the line y=27, e the line X-4, the…

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

Q: The area under the curve y = 3x bounded by the lines x = 3 and x = 8 above the х — ахіs is. - 192.00…

A: we have to find the area bounded by the given lines

Q: Find b such that the line y = b divides the region bounded by the graphs of the y = 9 − |x| and y =…

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Q: Find a such that the line x = a divides the region bounded by the graphs of the equations into two…

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Q: The area of the region enclosed by the two curves y=x²-4 and y = x - 4 is given by

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Q: Find the area of the region in the first quadrant bounded on the left by the​ y-axis, below by the…

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Q: The region between the graphs of y = x² and y = 3x is rotated around the line x = 3.

A: Given data:   The expression first curve is: y=x2. The expression for the second curve is: y=3x. The…

Q: Find the number  b such that the line  y = b divides theregion bounded by the curves y = x 2  and y…

A: Given Data The equation of curve is y=x2. The equation of line is y=4. The equation of another line…

Q: Find the number k > 1 such that the region bounded by the curves y = 1, y = x-2, and x = k k has…

A: Given curves are y=1 and y=x-2 and interval is x=1 to x=k

Q: Find the number bb such that the line y=b divides the region bounded by the curves y=x^2 and y=25…

A: for this what we will do we will integrate the curve from y=0 to y=b and equate it to the…

Q: Find the number b such that the line y = b divides the region bounded by the curves y = 16x2 and y =…

A: Given,

Q: 5. Consider the two curves y = x° - 3x + 20x + 88x² + 71x – 74 and y = 2a+ 50x – 22x + 42.x + 31. |…

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Q: Find the total area of the shaded region (area constrained by curves) y = -2r4 -2

A: The area of the shaded region is given by  ∫abf(x)-g(x)dx Where a and b are limits of x f(x) and…

Q: Find the area bounded by the curve y = 16 A 16 square units (B) 8 square units 10 square units 4…

A: Find the area bounded by the curve y= 1/16x3-3/4x2+3x and the line y= x .

Q: Find the number a such that the line x = a divides the region bounded by the curves y = x, y = 0,…

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Q: Find the area bounded by the curve 4 square units 10 square units 8 square units 16 square units 3 y…

A: Area

Q: Find a horizontal line y = k that divides the area between y = x and y = 4 into two equal parts.

A: Solution:Given     y=x and y=4T o find a horizontal line y = k that divides the area between y = x…

Q: Find the area of the region enclosed between the curves defined by the equations y = x² – 2x + 2 and…

A: Solve the following

Q: Find the area bounded by the curve 16 square units 10 square units 8 square units 4 square units 16…

A: The region is bounded by y=116x3-34x2+3x and the line y=x.

Q: Find the number b such that the line y = b divides the region bounded by the curves y = 9x² and y =…

A: Given, The curves are y =9x2 y =25 y = b Let's draw the curve y =25 and y = b are straight lines…

Q: How many square units is the area of the region bounded by the two curves y = x^2 - 4x and y = x^3 -…

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Q: Find the number b such that the line y = b divides the region bounded by the graphs of y = 9x2 and y…

A: To find the number y=b that divides the region bounded by the graphs of y=9x² and y=16 into two…

Q: Find the number b such that the line y = b divides the region bounded by the curves y = 25x2 and y =…

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Q: Find the total area of the regions enclosed by the two curves y = 4-x2 and y = -x+2 %3D and the two…

A: The given curves are: y=4-x2, y=-x+2 and the lines x=-2, x=3

Q: Find the area of the triangular region in the first quadrant bounded on the left by the y axis and…

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Q: Find a such that the line x = a divides the region bounded by the graphs of the equations into two…

A: Given, y2=4-xx=0

Q: Consider the region bounded by the function y = 4x, and the lines x = 0 and x = 3. Then the area of…

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Q: Find a horizontal line y = k that divides the area between y = x² and y = 9 into two equal parts.

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Q: Find a such that the line x = a divides the region bounded by the graphs of the equations into two…

A: Given,    y = x,  y = 4  and  x = 0 So the region bounded by these curves is given by shaded region…

Q: Find b such that the line y = b divides the region bounded by the graphs of the two equations into…

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Q: Find the area of the region in the first quadrant bounded by the circle (x - 1)² + y² = 1, and the…

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Q: Find b such that the line y = b divides the region bounded by the graphs of the equations into two…

A: Given: y = 9 - x2,  y = 0 To find: The value of b such that the line y = b divides the region…

Q: Sketch the region and find the area of the region bounded by y = 3x + 1, the lines x = 1 and x = 4,…

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Q: The region bounded by the curves y=1-x^3. ,y=e^x.  And the line y=3

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Q: The region is bounded by the curve y = 6x – x² and y = x² – 2x – 10

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Q: Find the area of the propeller-shaped region enclosed by the curves x - y1/3 = 0 and x - y1/5 = 0.

A: We have the curves x-y13=0 and x-y15=0. We have to find the area of the propeller-shaped region…

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

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Q: Find the area bounded by the given curves. y = 4x3 + 5 and y = 4x + 5        square units

A: We first sketch the area using a graphing calculator  There are two areas. They are symmetric. So…

Q: ) Find the number k>0 such that the region bounded by the curves y = x² and y = kx has area 9 square…

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Q: The area of the region bounded by the two curves y = x² and y = 9 is Square Units

A: Draw the both curve than find their intersection points and integrate in that interval.

Q: The region is bounded by the curve y = 4x – x², y = 4 and the y-axis.

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Q: Find the area of a triangle bounded by the yy-axis, the line f(x)=10−2xf(x)=10−2x, and the line…

A: Now, from the graph we have the points of intersection of the lines

Q: What is the largest vertical distance between the graphs of the functions y = Vx and y = x² in the…

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