3. Find the area in the first quadrant by the curves x? + y? = 9 and 4x² + 9y? = 36 on the first %3D quadrant.

Q: what is the area between the curves: y = 7 cos( pi*x),    y = 12x2 − 3

A: 7cos(πx) and 12x2-3

Q: B- Find the area between the curves: x = y2 and y = x - 2

A:

Q: find the area bounded by the given curves. y = 8x^3 + 1 and y = 8x + 1 square units

A:

Q: Find the area between the curves. y = x2 - 18, y = x - 6

A: y = x2 - 18, y = x - 6

Q: Find the area between the curve y = 6x – 2x and the x-axis between x 1, and x = 3. ||

A:

Q: Find the area between the curves y and y 3x + 2.

A: From y=x3, y=3x+2 solving for the points of intersections.…

Q: find the area between the curves 2x^2+4x+y=0 and y=2x

A: Given that: 2x2+4x+y=0    and   y=2x

Q: Find the area between the curves. x = 0, x = 6, y = 5x, y = 3x + 10

A: Given: The curves x=0, x=6, y=5x, and y=3x+10 . The bounded area between the given curves is shown…

Q: Find the area between the curves.

A: Given: The curves are y =x and y =xx  .

Q: Find the area of the region bounded by the parabola y = 4x², the tangent line to this parabola at…

A:

Q: Explain in words and through Calculus how to find the area between two curves.

A:

Q: Find the area in the first quadrant bounded by the cubic 3x - x^3 and the lines x = 0 and y = 2.

A:

Q: Find the area contained between the two curves y = 3x - 2² and y=x+x².

A:

Q: Find the area between the two curves: y = x2 and y = 4x + 5

A: In this question we have to find Area.

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 cut from the first quadrant by the curve x1/2 + y1/2 = a1/2.

A:

Q: Find the area between the curves: y = x³ – 10x? + 16x - x³ + 10x² – 16x 3 and y = -x° + 10x?

A: Consider the figure given below :

Q: Find the area between the curves. x = -2, x = 4, y = 3e3x, y = 2e3x + 1

A: The above question is from the application of the integration part and since the major part of…

Q: Find the area bounded by the curve 5y2 = 16x and the curve y2 = 8x − 24 and provide a correct and…

A:

Q: Find the area between the curve y = x3 – 6x2 + 8x and the x-axis.

A: We have to find the area between the curve y=x3-6x2+8x and the x-axis.

Q: Find the area bounded by the given curves. y = 8x3 + 7 and y = 8x + 7 _________ square units

A:

Q: Find the area enclosed by the curve y = x 2 − 3 and the line y = 2x

A:

Q: Find the area between the curve y = x – and y = -x + 10x2 – 24x 10x + 24x

A:

Q: Find Mx and My for the first-quadrant area bounded by y2 = 4x, the x-axis and x = 4. (ans: 16,…

A: Given the first-quadrant area bounded by y2=4x, the x-axis and x = 4.

Q: Find the area between the curves y= 7cos(2x) , y= 7sin(4x), x=0, x=pi/4

A:

Q: Determine the area bounded by the graphs of the following equations. y=coshx  , y=3

A: Given that, y = coshx  and   y = 3 we have to calculate the area bounded by both equation, Solve…

Q: find the area bounded by the given curves y=8x3+7 and y=8x+7

A: Given,           The curves are y=8x3+7 and y=8x+7.

Q: Find the area between the curves.  y = |9x|  ,  y= x^2 - 10

A: First we graph the functions. They cut at (-10,90) and (10,90)Area from x=-10 to x=0 is equal to the…

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

A:

Q: 2. Find the area between the curve y = x3 – 6x2 + 8x and the x-axis.

A:

Q: Find the area lying between the parabola y = 4x – x² and the line y = x -

A:

Q: Find the area in the second quadrant bounded by the curve y = x' +4x² – x – 4 and the x – axis.

A:

Q: Find the area between the curves x = 10 − y2 and y = x − 8

A:

Q: Find the area bounded by the given curves. y = x2 − 5 and y = 4 − 8x2 _____________ square units

A: Given curves y=x2-5 and y=4-8x2. The objective is to find the area bounded by the curves.

Q: Find the area between the curves y = and y 3x +2. %3D

A:

Q: Find the area of the region bounded by the parabola y = 2x², the tangent line to this parabola at…

A: The given parabola is: y=2x2 The tangent line at (5,50) has the slope: mx=5=dydxx=5          =4xx=5…

Q: Find the area enclosed by the line y = x –1 and the parabola y = 2x + 6.

A: y2=2x+6 and y=x-1. To find: Area enclosed by the given two curves.

Q: Find the area bounded by the given curves. y = 8x' + 3 and y = 8x + 3 square units

A:

Q: Find the area bounded by the curves y2 = 4x and y + 2x = 12.

A: Topic = Area

Q: Find the area between the curves y = 4x° and y= 3x + 1.

A: Given the curves y=4x2 and curve y=3x+1. We need to find the area between two curves.

Q: Find the area between the curves y = 4x – 3 and y = x². %3D

A: Given data is : y=4x-3     .....1 y=x2      .....2 From equation (1) and (2) ,…

Q: Find the area between the curves. y=x² - 23, y = 9 – 4x

A:

Q: Find the area bounded by the curve y^2 + x - 4y = 5 and the y-axis. Input only the numerical value…

A:

Q: 7) Find the area of the region enclusced by the curves y=x² and

A: Please refer the attached image for complete solution. THANK YOU !

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

A:

Q: find the area baunded by the curves linest ytAx-8 =0 and y=x

A:

Q: Find the area between the curves: y = x3 – 12x? + 20x and y = -a3 + 12x2 – 20x

A: Solution )

Q: 6 Find the area enclosed by the given curves. * y = x³ and y = 4x

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Use rectangles to estimate the area under the parabola y = x2  from 0 to 1

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.