What is the area of the triangle formed if it bounded by the x and y axes and the line,  2x - 3y =9?

Q: Find the area of the “triangular” region bounded on the left by y = sqrt(x), on the right by y = 6 -…

A: It is given that,

Q: Find the area of the reglon bounded by the graphs of the equations. y = -x+ Bx, y = 0

A:

Q: Calculate the area of ​​the space limited by the curve y = 4x - x^2 and the axis OX

A: Given: The curve y = 4x -x2  To find: The area of the space limited by the curve y = 4x-x2  and the…

Q: What is the area of the region between the lines y = 7x and y = 3x from x = 1 to x = 4?

A: 1.

Q: Find the area bounded by the arc square root x + square root y = 7, the x axis, and the line joining…

A: Given curves are                                                   1x+y=7, y=0, points (16, 9) &…

Q: Determine the area enclosed by the curve 2x² + 2y² - 2x + 6y - 3 = 0

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Q: What is the area (in square units) of the region bounded by the graphs of y=r²+2, and the x axis…

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Q: find the area bounded by axes and line 3x+2y=12

A:

Q: Find the area of the regions enclosed by the two curves, y =x +3 and y = 4x+8. %3D

A: From the given problem:   y=x2+3 & y=4x+8       Now finding a point of intersection:…

Q: Sketch the region in the xy-plane defined by the inequalities x - 5y2 > 0, 2 – x – 9\y| > 0 and find…

A:

Q: Find the area of the regions enclosed by the two curves, y =x +3 and y = 4x+8.

A: Given that: y=x2+3           .............(1)y=4x+8           .................(2)

Q: he area bounded by y^2=4x and the line 4x-3y-4=0.

A: In this question, the concept of Integration is applied to determine the area bounded by two curves.…

Q: (a) curves y=, y =-x², lines x=1, x=2

A:

Q: Find the exact area of the shaded region: (0, 4) y = 4 - x2 3 (3,-5)

A:

Q: Find the total area of the shaded regions. 14 Q 4-2,12) 12- (2,12) 2. fy%3D3x ty= 10 -4- -2- y%3Dx…

A: We will solve the problem

Q: Find the area between the curves. 3x х%3 -2, х%34, у%33е3X, у%3D2е 3X +1

A:

Q: FIND THE AREA OF THE REGION IN THE FIRST QUADRANT THAT IS BOUNDED ABOVE BY y=sqrt(x) AND BELOW BY…

A:

Q: The area of region bounded by the parabola y? = 4x and the line %3D y = 2x – 4 is -

A: We have to find the area of the region bounded by the parabola y2=4x and the line y=2x-4

Q: Find a vertical line x=k that divides the area enclosed by y=x^2, x=2, and y=0 into two equal parts.

A: Given,

Q: The area of region bounded by the parabola y2 = 4x and the line %3D y = 2x – 4 is

A: We have to find the area of the region bounded by the parabola y2=4x and the line y=2x-4 .

Q: Find the area of the segment of a sphere formed by revolving the graph of     y = √(9 − x2) , 0 ≤ x…

A:

Q: The area of region bounded by the parab y = 2x – 4 is

A: Introduction: Integration is a method of bringing separate parts to form a whole. We find a function…

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

A:

Q: Show by integration that the area of the tri- angle formed by the line y 2x, the ordinates x=0 and…

A:

Q: The area bounded by the curve y = 6x and the lines x = 9 ,x = 11 and x %3| axis is - O 486 square…

A: Consider the curves, y=6x,  x=9,  x=11   and   x-axis To draw the bounded region:

Q: What is the area of the region bounded by y = x^2, the x-axis, and the lines x = 2 and x = 5, using…

A: Given function is, y=x2 Limits for x is, x1=2x2=5

Q: Find the area of the reglon bounded by the graphs of the equations. y = 5x +5, x = 0, x = 2, y = 0

A: Required area is…

Q: Find the area of the “triangular” region bounded on the left by x + y = 2, on the right by y = x2,…

A: Graph the given equations first.We have to find the area of the shaded region

Q: What is the area of the region bounded by the parabola y^2 = 2x and the line x-y-4 = 0? *

A: See the details solution in below

Q: If A is the area bounded by y = 4 − x^2 and the x-axis, find the horizontal line y = b (not…

A:

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: 3 and y=X %3D 2

A: The equation of the curve is x=12y2-3 The equation of the curve is y=x-1

Q: Find the area of the region bounded by the parabola f(x) = 16-x^2 and the lines  x=0 and x = 4 and…

A: Givenf(x) = 16-x2lines x=0, x=4 and x-axis(y=20)

Q: Find the area of the region bounded by y = 4x + 4, y = 6x + 6, and a = 4 %3D

A: Given:y=4x+4y=6x+6x=4Formula:Area=∫aby1x-y2x dxA=∫aby1x dx-∫aby2x dx

Q: Find the area lying between the parabola y=4x - x^2 and the line y = x.

A: The given curves are y=4x-x2 and y=x. To find the area between the curves we will firstly plot these…

Q: Use inscribed and circumscribed rectangles to find the area of the region to the right of the line x…

A: Concept: the area between the region y=f(x) and ==g(x) on the interval [a, b] Let us assume that…

Q: Find the area of the region bounded by y = x² - 5x + 6, the x axis, and the vertical lines x = 0 and…

A: Given that y = x2 - 5x + 6 ; y = 0 (x - axis) ; x = 0; x= 4  We have to find the area of the region…

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

A:

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: Determine the area of the region bounded by y = 2.r2 + 10 and y = 4x + 16.

A: We sketch the region using a graphing calculator

Q: Find the area between the cuo ves CUrres y=8-x² and y= -2

A: Given curve

Q: Calculate the area described by the equation y= -6x² +24x + 10, bounded by the lines x = 0 and x =…

A:

Q: x³ – 6x2 + 8x, and y = x² – 4x - -

A: Given curves, y=x3-6x2+8xandy=x2-4x To find the area bounded by above curves using vertical strips.

Q: The area bounded by the parabola x² = 2y, and the line x - y = -4 is 18 square units. %3D

A:

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

A:

Q: Find the equation of a horizontal line that equally cuts the area bounded by the curves 2y=x^2 and…

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Q: What is the area of the region bounded by the parabola y = x^2 and the line y = x?

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Q: Determine the enclosed area by the curve 9x² + 25y² - 225 = 0

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Q: What is the area of yhe region in the first quadrant defined by y=x^2 and y=4

A: Area of the region in the first quadrant defined by y=x^2 and y=4

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