Find the area bounded by the given curves. y = 3x2 and y = 27

Q: 2y? and x = 4 + y²

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

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Q: Find the area enclosed by the given curves.

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Q: Find the area between the curve x = 2r*, y = 31 +1 and the x-axis, 0<t<2 !!

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

A: First we find point of intersection of curve y=9-x2 and x-axis. Put y=0, 0=9-x2 x2 =9 x=±3 Therefore…

Q: Find the exact area enclosed by the curves, y=x5 - 6x3 + 4x and y = x.

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Q: Find the area bounded by the parabola x² = - (y - 1) and the first quadrant.

A: Intersection points:y=0x2=1;x=1 (First quadrant)(1, 0)x=0:1-y=0y=1(0, 1)

Q: Consider the area formed by the curves f(x) = x² + 1, y = x°, and the y axis in the first quadrant

A: The area between the curves y=x3 and fx=x2+1 on interval 1.46557…, 2.46557…:   The area between…

Q: Find the area bounded by the given curves and lines. 1 y? (2–æ)³ 3

A: We have to find area

Q: Find the area between the corves y= 2-x² and

A: Find the area between the two given curves First draw both the equations in a single plane To draw…

Q: Find the area enclosed by the function e* and the x-axis .

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

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Q: Find the area bounded by the curves x² + y? – 2x – 24 = 0 y2 – 8x + 16 = 0

A: The area between two curves y1 and y2 such that y2&gt;y1 between the limits x=a to x=b is given by;…

Q: Find the area between x = y2, x - axis, x =y +2 To find the intersect points

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Q: 8 x2 = 4y and y %3D x2+4

A: We have to find the area bounded by the curves.

Q: y = e2x, y = e*, and x = 2

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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 y = x+ 4 and y = x2 - 2. Answer:

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

A: NOTE: Refresh your page if you can't see any equations. . given functions are

Q: Find the area enclosed by the following curves: 1- y=x²-2 , y = 2

A: As per our guidelines we are suppose to solve one question, kindly repost the remainig question as…

Q: y = x², y = 0, x = 1, and x = √5

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Q: 2.) Find the area between the curves y? = 2x and y 6-x

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Q: Find the area enclosed by the given curves. y = x°, y = 4x 4. O 16 2 8.

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Q: Find the area bounded by the given curves. v = 6x² – 16x – 7 and y = 3x2 + 2x – 22 | square units

A: Given curves are: y=6x2-16x-7y=3x2+2x-22

Q: y² = x and y² = 2 − x

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Q: Find the area enclosed by the given curves. y = x3, y = 4x O 4 O 2 8 O 16

A: topic - area enclosed by curves

Q: Find the area enclosed by the given curves y= x?,y = x 2 + 6, x = -2, and x = + 2 32 16 4 O00O

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Q: x = -Jy from y = 1 to y = 4

A: The objective of the question is determine the area bounded by the given function.

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 enclosed in a curve r=20sin20.

A: Let's find.

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: Find the area within the curves y = 25 – x², 256x = 3y², and 16y = 9x %3D %3D

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Q: Find the area bounded by y? = x3, y=2x

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Q: Find the area bounded by the following curves, y = x^2/4 and x + 4 = 2y. a.6 b.7 c.8 d.9

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Q: Find the area bounded by the given curves: (answers in square unit) a)y = x2 − 5 and y = 4 − 8x2…

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Q: Find the area enclosed in a curve r=24cos20.

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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 enclosed by the function e and the x-axis

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Q: Find the area enclosed by the given curves. y = 2x - x 2, y = 2x - 4 O 32 O 34

A: The given question can be solved as shown in step 2.

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

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Q: Find the area bounded by the curve y=x^2, the axis, and the ordinates are x=1 and x=3.

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Q: Find the area enclosed by the given curves. y =x, y x2 113 1_6 1의112

A: solve the following

Q: Find the area enclosed by the given curve and the y-axis.x = t2 − 3ty = square root of t

A: From y=sqrt(t) find t=y^2Then plug it in x=t^2-3tSo the curve is: x=y^4-3y^2

Q: Find the area enclosed by the curve  x = t2 − 2t, y = square Root(t) and the y-axis.

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Q: Find the area bound by the graphs of y = sin x, y = 1 and the y-axis in the first quadrant.

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Q: Find the area bounded by the curve y = 4x - x² and y = 3. Answer:

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Q: Find the area between the curve y = x(x 3) and the ordinates x = 0 and x = 5. LA B

A: Topic = Area

Q: Find the area enclosed by the given curves. y=x, y= 4x O A. 8 О В. 2 О с. 16 O D. 4

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Q: . Find the area enclosed by the curves y = 2(x² – 1) ndy = x(x + 1). %3D

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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.