what is the limited area between x = 4y^2-3 and y^2 = x curve Br^2?

Q: How can you sometimes find the area bounded by a parametrized curve and one of the coordinate axes?

A: Let the equation of parametrized curve be

Q: Find the area bounded by the curve y = x exp(-x²), the x-axis and the vertical line passing through…

A: Given: The given curve is, The x-axis and the vertical line passing through the maximum coordinate.…

Q: Find the area bounded by the curve y=4x-x² and the lines x=-2 and y=4.

A: See below

Q: What is the volume of a rotational body formed by rotating the area bounded the = 4-x ² function…

A:

Q: 6. Find the area bounded by the curve 2y² + 4x + y = 0 and the line y = 2x.

A:

Q: Find the area between the curve y=x^3 and its tangent through (1,1)

A: The slope of the tangent is given by y' at (x,y)=(1,1) y'=3x2At x=1y'=3 Equation of tangent line is…

Q: Estimate the area between the curve y = x^2 - 2x + 5 and the x-axis between x = 0 and x = 3 using 6…

A: Given, y=x2-2x+5 Here, a=0, b=3 and n=6 Therefore, ∆x=b-an3-06=12=0.5 Therefore the intervals are,…

Q: Make a sketch to show a case in which the area bounded by two curves is most easily found by…

A: To graph: The sketch to show a case in which the area bounded by the two curves is most easily found…

Q: How can you use line integrals to find the centers of mass of springs or wires? Explain

A:

Q: Find the line y=mx that divides the area under the curve y=x(1-x) over [0,1] into two regions of…

A: Given,           The line y = mx that divides the area under the curve y = x(1-x) over [0,1] into…

Q: Find the area between the curve y = 4 – x² and the line y = -x + 2.

A:

Q: What is the area of the region between the graps y = x – 1 and line y = -x – 1

A:

Q: If we want to find the area between the curves x = −y 2 + 1 and x = y 2 − 1, shall we integrate with…

A: Given curves are x=-y2+1 and x=y2-1

Q: Find the area bounded by the curve y²=9x and its latus rectum

A: Given equation is y2=9x the equation of parabola is of the form  y2=4axlatus rectum x=a  and…

Q: Find the area under the curve y = 5xe- for x > 4. area =|| %3D

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

Q: The curves x = 4y - y^2 and x = 2y - 3. Set up a single integral that evaluates the shaded area and…

A: Given  x=4y-y2 ,x=2y-3  To find  Area between  given curve using single integration method

Q: Find the approximate surface area of a sphere of radius 3.02 in. (Use differentials)

A:

Q: How can you determine the you must use vertical strip instead of horizontal strip in getting the…

A: We can also compute areas by slicing horizontally instead of vertically.  In this case, we'll denote…

Q: Find the area of the surface formed by revolving the graph y=x on the interval [0,3] about x-axis.

A:

Q: Find the area of the surface generated by revolving the curve y = 2x -x² , 0.25 sxs0.75, about the…

A:

Q: Find the area between x-axis and the curve defined by   y=2·x2−6·x on the interval [0‍,4].

A:

Q: 2 y : 1+x² ve y = x² %3D

A:

Q: What is the area bounded by the curve y = x3 and x = -2 and x = 1? What is the area bounded by the…

A: we have to find area

Q: Use differential to calculate the volume of the material needed in making a thin sphere with inner…

A:

Q: Find the area between the curves. x = -2, x = 1, y = 2x2 + 5, y = 0

A: Given, x=-2,x=1,y=2x2+5,y=0

Q: Find the area of the region bounded by the given curves. y = 9x2 ln(x),  y = 36 ln(x)

A: First of all, consider the given equations and assume them as f (x) and g (x). Equate f (x) = g (x)…

Q: What is the area bounded by the curve y^2 = x and the line x - 4 = 0?

A: We have to determine area of bounded

Q: Use the method of anti-derivative to find the area under the curve y = 4(x³ the interval [2,4]. 4x)…

A: Before finding the area, first, we will find the x-intercepts of the curve  to check that any point…

Q: estimate the area under the curve y=x^1/2, from x=1 to x=3 using right end point estimate

A: SolutionGiventhe curve y=x,from x=1tox=3 we need to estimate the area  under the curve y=x1/2,from…

Q: area bounded by the curves y2= 6x and x2 = 6y?

A: Given curvesy2=6x or y=6xand6y=x2 or y=x26

Q: Find the area between the curve y = 9 − (x/2)^2 and the line y = 6 − x.

A:

Q: Find the area between the curve x = y2 and the line x = y + 2 Solution : * with respect to x:

A: Given curves x=y2. . . . 1x=y+2. . . . .2 Equating (1) and (2) y2=y+2y2-y-2=0y-2y+1=0y=2,-1

Q: Find the area on the first quadrant bounded by the curve y = 2Vx and the lines y = 1,x = 4 and the…

A:

Q: Find the area between the curves: y=x^3−10x^2+21xx and y=−x^3+10x^2−21x

A:

Q: Calculate the area between the curves x = 1– y² by the line x = y² – 1.

A:

Q: Find the area between the curves. x = - 2 , x = 1 , y = 3x , y = x 2 - 4.

A:

Q: Find the volume generated by revolving about the line x=0 the area under the arch of the sine curvey…

A:

Q: The area bounded by the line x=1 and the curve y^2-x=3 is revolved about the line y=4. Using Shell…

A:

Q: Find the area between x-axis and the curve defined by   y = 2·x2 − 6·x on the interval [0,4].

A: Given curve: y=2x2-6x We need to find the area between x-axis and the curve on the interval 0,4

Q: Find the area bounded by the curve y2 = 4x and the line 2x + y = 4.  show full solution

A:

Q: Determine the area bounded by the curves y = -r - 18z + 40 and y = (x- 2)2.

A:

Q: Find the area bounded by the curve 4y² + 16x – 15 = 0 and the linex = -1. %3D

A:

Q: 12. Informally explain how a surface area generated by a curve of rotation can be computed with an…

A:

Q: Find the area of the region bounded by the curve y= 1--x² and the x-axis.

A: Given equation of the curve: y=1-19x2 To find: Area of the region bounded by the curve and x-axis.

Q: Find the area between the curves. 3x 3x x-0, x-D4, y3D2e" y-e

A:

Q: What is the area bounded by the curve y^2=x and the line x-4=0?

A:

Q: Find the area of the region bounded by the line y = 2x – 5 and the parabola y = x² – 4x. - -

A: Graph of enclosed region -

Q: Find the area of the region bounded by the curve y=1--x2 and the x-axis. 9

A:

Q: Find the area bounded by the curves y=x4-2x2 and y=-x2+4 at an [-1, 1].

A: The region bounded by the curves y=x4-2x2, y=-x2+4 in [-1,1] is:

Q: how do I determine the area under a curve?

A: