2. Find the area between the curves. x = - 2, x = 1, y = 6x, y = x2 - 7

Q: The area bounded by y = e*, y = 2, and the y– axis is equal to

A:

Q: Find the area bounded by the curves y2 = 4x 4х + у — 6 %3 0

A: We need to find the area bounded by the curves y2=4x4x+y-6=0

Q: 2. Find the area in the third quadrant bounded by the curve x= y2 + 2y.

A:

Q: Find the area between the curves y = x²(x – 3) and y² + 8y – 16x + 48 = 0

A: Formula: The area between the curves on the interval given by, Given:

Q: #1 Find the area of the region between y=2x+ and y=x=4

A:

Q: Find the area enclosed by the x-axis  and the curve x = 1 + et y=  t - t 2

A:

Q: Find the area bounded by the curves x² = 4y + 4 and the line y =x + 2.

A:

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: 3. Find the area bounded by the curves x2 + y2 = 9 and 4x2 + 9y² 36, on the first quadrant.

A:

Q: Find the area between the curves y=3/x, y=12x, y=1/3x, x>0

A: We have to find the area between the curves y=3/x, y=12x, y=1/3x, x>0So, first of all we need to…

Q: 2. Find the area between the curves y = Vr -1 and r - y = 1.

A: Given curve is y=√(x-1) and y=x-1

Q: Find the area between the curves y = x2− 6 and y = x/2 − 3. Convert a and b to decimals

A:

Q: I- Find the area of the region bounded from the right by the curve x 4-y, from the left by the line…

A:

Q: 9. Find in two ways the area bounded by the parabola y = x², the y-axis, and the lines y = 1, y= 4.

A: Given,  The parabola y = x2  We have to find the area bounded by the parabola, y-axis and the lines…

Q: 2. Find the area between the curve y = 3x2 + 2 and the line y = 2 * x- 3 from x = 0 to x = 3. Answer…

A: To find the area enclosed by the curves y=3x2+2 & y=2x-3 from x=0 to x=3.

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

A:

Q: Find the area between y = x^2 + 4, x = 1 and y = 0.

A:

Q: Find the area bound by the curves x = 81 – y² and r = y – 9.

A: We first graph the region using a graphing calculator

Q: 1. Find the area of the region enclosed by the line x = 2y and the curve x = y - y?

A: We will find out the required area.

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

A:

Q: 8. What is the area bounded by the curve y²=4x and x²=4y. A. 6 B. 7.333 C. 6.666 D. 5.333

A: Here we have to find the area bounded by the curves

Q: (d) Find the area between the two curves 3 y = x² – 1 1+ x² '

A:

Q: Find the area between the following curves: y=x^2-30 and y= 10 - 3x

A: To Find the area between the following curves: y=x^2-30 and y= 10 - 3x

Q: Find the area between the curves y = x²(x – 3) and y² + 8y – 16x + 48 = 0 -

A:

Q: Find the area between the curve inclosed by the curve x = 2y^2 and the curve x = 4 + y^2

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Q: Find the area bounded by the curve 5y^2 = 16x and the curve y = 8x – 24.

A:

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: Find the area bounded by the curve y = 7x In(x), the x-axis, and the lines x = 1 and x = e.

A: Given:y=7xlnxlines x=1 and x=eTo find:Area A=??

Q: Find the area between the curves y = x² + 1 and y = x + 1.

A:

Q: Find the area enclosed by the given curves. y = 2x-x2,y 2x-4 31

A: Explanation of the answer is as follows

Q: How can I find the area between the curves?  x=y2-1, x=1-y2

A:

Q: Find the area bounded by the curve y? 4x and the lines x=1 and x=4.

A: Area bounded by a curve y=f(x) and the lines x=a and x=b is given by, A=∫abf(x)dx  We know, ∫xndx=…

Q: 4. Find the area between the curves y = x2(x – 3) and y2 + 8y – 16x + 48 = 0

A:

Q: Find the area between the curves.    x = - 5, x = 1, y = 10 x, y= x 2 -11

A:

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

A: Topic = Area

Q: Find the area bounded by the parabola y2= 4x, the x – axis and the lines x=1 and x=3.

A:

Q: 3. Find the area enclosed by the two curves x = y² – 4y and r = 2y – y². |

A:

Q: 2. Find the area bounded by the line x – 2y + 10 = 0, the x- axis, the y – axis and x 10.

A: The red line is x=10 and the blue line is given line i.e. x-2y+10-0 Given x-2y+10=0This can be…

Q: 1. find the area enclosed by the x-axis and the curve y= -x^2+9

A: The region enclosed by the x-axis and the curve y=-x2+9

Q: 4. Find the area enclosed by the curve: x=t2 – 2t, y= vt and the y-axis

A:

Q: 5) Calculate the area of the region between the curves: y = 2 = x² and y = x²

A: We can find the area as below.

Q: Find the enclosed area by the curve with equation y = x² - 9 and the X-axis in the region [−1, 2] 24…

A: In this question, we want to evaluate the area of the region enclosed by the curves y=x2-9 and X-…

Q: Find the area bounded by the curves x2 = 4y + 4 and the line y = x + 2.

A:

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

A:

Q: 2. Find the area of the region between the curve, x = y² + y −6, y- axis and y=0; y = 3.

A: we need to find the area bounded by the given curves.

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: Find the area bounded by the curve y=x^2 and the line y-4=0. O A. 16/3 В. 32/3 О с.0

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.