Find the area between the curve y = 2x² + 4x-6 and the x-axis from x = -2 to x= 3. %3D %3D %3D

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: Find the area between the curves y = e Area - 0.7x and y = 1.3x + 1 from x=0 to x=2

A: The area between the curves y=e-0.7x and y=1.3x+1 on interval 0, 2.

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

A:

Q: Find the area between the curves y=e^−0.7x and y=2.1x+1 from x=0 to x=1. Area=_____

A: Using Formula of Area between two curves.

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

A:

Q: Find the area between the curves. y = x2 and y = - x2+18.

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: Find the area enclosed by the x axis and the curve y= 4-x2

A: Find the area enclosed by the x axis and the curve y= 4-x2

Q: Approximate the area under the curve graphed below from x = 3 to x = 6 using a Left Endpoint…

A: Let's find.

Q: Find the area between the curve y=4x-x² and the x-axis

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Q: Find the area of the region under the curve y 3x +2x, the x-axis, x=0 and x 4. 0

A:

Q: (b) Find the area enclosed by the curve y = 4x2 and the x-axis between x = -2 and x = 2. %3D

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Q: Find the area A between the curves y=1+x² y=3+x

A:

Q: Find the area bounded by the curve a^2y = x^3, the x-axis and the line x = 2a

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: 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 bounded by the curve y = 8 – x and both coordinate axes in the first quadrant. Area of…

A:

Q: Find the area between the curve  y = x2 + 3  and the line  y = 2x − 2  (shown below) from x = 0 to…

A: We first sketch the area using a graphing calculator

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

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Q: Calculate the area enclosed between the x-axis and the curve y = x2 - 1 between x = -2 and x = 2.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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 of the infinite region in the first quadrant between the curve y = eX and the x-axis.

A: Given curve, y=e-xand x-axis Formula for the area of the region under a curve is given by A=∫aby dx

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 enclosed by the curve y = x 2 − 3 and the line y = 2x

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

A: Given, We have to find the area enclosed by the x-axis and the curve y=-x2+9.

Q: 34. Find the area enclosed by the curve x = t2 - 2t, y = Vi and the y-axis.

A: As per Bartleby guidelines we're supported to answer only one question when two or more different…

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

A:

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

A:

Q: Q/ A/ Find the area between the curve y 3x- x² and the x-axis

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Q: Find the area between the curves. 4x y3e 8. x= 0, x= 3, y= 2 e y=e+ e

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: Find the area between the curves y = e – 0.4x and y = 2.1x + 1 from x = 0 to x = 4. Area =

A:

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

A:

Q: Find the area contained by the curve y x(x – 1)(x + 1) and the x – axis.

A: Graph of the function y=x(x-1)(x+1) will be as following

Q: Find the total area of the region between the curve and the x-axis 1 xs3 4 ОА. 3 O A. OB. В. О С. 3…

A: *to find:- total area.

Q: Find area of the region under the curve y=x^3−9 and above the x-axis, for 5≤x≤7. area=

A:

Q: The area enclosed between the x-axis and the curve y=x2 between x=1 and x=2 is:

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: Find the area enclosed between the line y 1 and the curve y = x2 – 4x + 4.

A:

Q: Find the area of the region bounded by the curve y = e2x - 3e* + 2 and the x-axis.

A: The region is bounded by the graph y=e2x-3ex+2 and the x-axis.

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

A:

Q: Find the area between the curves 피/5 y = e y = 10 tan -x) + 1, 0< x < 4 16 Area

A: According to question,Given curves,y = e-x5y = 10 tanπ16x+1,0≤x≤4

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

A:

Q: 34. Find the area enclosed by the curve x = t2 – 2t, y = Vi and the y-axis.

A: Given

Q: Find the area between the graph of y = x² – 2 and the x-axis, between x 0 and x = 4. %3D

A: Use integration to find the area.

Q: Find the area between the curves y = e0.3se y = 1.9x + 1 from x = 0 to x and = 5. Area =

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.