Find the area bounded by the curve y^2+x-4y=5 and the y-axis

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 parabola y^2=4x and the line 2x-4. (with graph)

A:

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

A: See below

Q: By integration, determine the area bounded by the curves y = 6x – x ^2and y = x^2 – 2x.

A:

Q: Find the area between the curves. x = -3, x = 0, y = 1 -x2, y = 0

A:

Q: Find the area bounded by the curve y = 62xe-62x and the x axis from x =0 to x = 4

A: Area bounded by the curve y=f(x) and x-axis from x=a to b is given as, ∫abf(x)dx Some common…

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

A: so we have and the other function is

Q: Find the area bounded by the indicated curves. y = x4 - 18x? + 81, y = 81 - x

A:

Q: Determine the area bounded by the curves y = -x² – 18x + 63 and y = (x – 3)². |

A:

Q: Find the area bounded by the curve y = 4x over the square root of (1 - 2x) and lines y = 0, x = -4…

A:

Q: Solve the area bounded by the curve y=5-x^2 and the line y=2x. With graph.

A:

Q: Find the area of the region bounded by the curve y = x^3 + 3x and the lines x = −2, x = 2 and the…

A: Topic = Application of integration

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

A: Given curves are  y2=4x, 2x+y=4 The region bounded by the above curves  is the yellow colored region…

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

A: The x coordinates for the points of intersection of the curves are given by:…

Q: Find the area between the curves. x = -2, x = 1, y = 2x, y = x2 - 3

A: Given curves,  y = 2x y = x2 - 3 x = -2 x = 1 To find the area enclosed.

Q: Find the area of the region that lies under the curve y = 4x-x over the interval 0<x<4. y = 4x - x

A:

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

A: topic - area bounded by curves

Q: Find the area bounded by the curve y2 = 4x and the line 2x + y = 4 and provide a correct and…

A:

Q: Find the area of the region bounded by y = 10x + 4, y = -10x + 3 and x = 14. Leave your answer…

A:

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: Determine the area bounded by the curves x³ - y = 0 and y + 3x² - 4 = 0, using a vertical element.

A:

Q: Find the area bounded by x2- 6x +y = 0, x² - 2x - y = 0. and the x-axis.

A: We have given two curves;

Q: Find the area bounded by the curves x² + y = 6, y = x, y = -2 and x = -2.

A: I have shaded the area green which is to be calculated

Q: Find the area bounded by the curve y = 2x + x² – x³, the x-axis and lines x = 0 and x = 1. %3D

A:

Q: y = 4 – x2 y = 4 – 4x - -5-

A: Definition used -             The area between two curves f(x) and g(x) -…

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

A: Area

Q: FInd the area bounded by the give curves y=6x2-8x-2 and y= 3x2+4x-11

A:

Q: problem in photo attached

A: Given,

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: Calculate the area between the curves y = 7- 2x2, y = x2 + 4, and the x-axis.

A:

Q: solve the area bounded by the curve y=4x-x^2 and the lines x=-2 and y=4

A: To find out the area bounded by the curves.

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

A:

Q: Find the area bounded by the curve ay²=x³ and the line x=4a. With sketch please.

A: Area problem....

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

A:

Q: Compute the area bounded by the curve y=3x² and the lines y=0 and x = 3,

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the area bounded by the curve y = 63xe 63x and the x-axis from x = 0 to x = 4. %3D

A: To calculate Area bounded by curve y = 63xe-63x We need to use the method of integration to…

Q: Find the area between the curve and the x-axis over the indicated interval. y = 25 - x2; [-5, 5|

A:

Q: By integration, determine the area bounded by the curves y = 6x – x2 and y = x2 – 2x.

A:

Q: Approximate the area under the curve 4=メ Right Endpoint from x=3 to メニの USing approximation with 6…

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: Determine the area bounded by the curve y = x2 - 3x -6 and lines y =-4-x,x = 0 and x = -2.

A:

Q: Determine the area bounded by the curves x^3 - y = 0 and y + 3x^2 - 4 = 0, using a vertical element.…

A:

Q: Find the area of the region bounded by a curve y = x^2-3 and y =5-x^2

A: Consider the provided curve, y=x2-3  and y=5-x2 Find the area of the region bounded by a curve.…

Q: Find the area bounded by the curves y - x² = -3,x+y = 3 and y = 0.5x.

A:

Q: Sketch the region bounded by the line y -axis. = 2 and the graph of y = sec2 x for −π2 &lt; x &lt;…

A:

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 curve or line: 4y = x2-2lnx, y=0, x=1, x=4

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.