Q1) Sketch the region enclosed by the curves and finds its area y=sin2x y=0, x=, x 4

Q: Sketch the region enclosed by the curves and find its area. T y = cos 4.x, y = 0, x 8' - 4 NOTE:…

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Q: Sketch the region enclosed by the curves and find its area. 1 y = 6x² ,y = 6 V5,x = and.x Enter the…

A: topic- area between curves

Q: Sketch the region enclosed by the curves and find its area. 1 y = 2 √1-25x² Y NOTE: Enter the exact…

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Q: Find the area between the curves y = 4 cos(6x),    y = 4 sin(12x),    x = 0,    x = π/12

A: Given,

Q: Sketch the region enclosed by the curves and find its area. 1 х — 0, у — 1, у — е NOTE: Enter the…

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Q: Find the area of the region between the curves y = sin(x), y = sin(2x), x = 0, and x = t/2. Area…

A: Given curve is : y=sinx   .......(1) y=sin2x   ......(2) To find the area of region between curve…

Q: Find the area A of the region that is bounded between the curve f(x) = -2 sin () and the curve g(x)…

A: Given that we have to find the area of the region that is bounded between the curve f(x)=-2sinx4,…

Q: Find the area of the region bounded by the given curves. y = sin2(x),    y = sin3(x),    0 ≤ x ≤ π

A: Given: Find the area of the region bounded by the given curves. y = sin2(x), y = sin3(x),    0 ≤ x ≤…

Q: Find the area bounded by the ff. curves and lines: a. arch of y =(1/3)sin(x/3)

A: Consider  the equation

Q: Sketch the region enclosed by the curves and find its area. y = 7x2 .y = 7 Vx,x = 1 and x = Enter…

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Q: y = 0, y = cos 2x, on the interval li [引 %3D

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Q: Find the area of the region bounded by the two curves x = sin2y and x = cos2y from y to y = n 8

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Q: Sketch the region between y = sin x and y = cos x over the interval and find its area: [0, π]

A: Consider the given function as y=sinx and y=cosx

Q: Sketch the region bounded by the graphs of f(x) = 2 sin x, y = tan x, 0 SIs and find its area

A: y=2sinx and y=tanx for 0≤x≤π3

Q: Sketch the region bounded by the given curves, then find its area. y = 12 - 3x^2, y = 4 - x^2

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Q: 1. Find the area of region bounded by the curves y = x² and line y=x. %3D

A: We have to determine area of region

Q: y = sin æ , y = cos(2x), – < < 6.

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Q: Find the area enclosed by the curves below from x = 0 to x = 3 y = 33 cos(3x) y = 33 sin(3x) Area =

A: Given:- y=33 sin(3x) , y=33 cos(3x)  To find:- Area enclosed by curves from x=0 to x=π/3

Q: Find the area of the surface formed by revolving the graph y=x on the interval [0,3] about x-axis.

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Q: Find the area of the region enclosed by the curves y = 4 sin x and y = 4 sin 2x for 0sxST. y = 4 sin…

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Q: Sketch the region bounded by the graphs of the equations and find the area of the region. y = cosx,…

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Q: Find the area of the region bounded by the 3 graphs of the equations y = sin x, y = sin° x, 0, and x…

A: Consider the given curves. Equate (1) and (2) and calculate the x where (1) and (2) are equal.

Q: Sketch the region enclosed by the given curves andfind its area.   y - cos πx    , y=4x2- 1

A: The given curves are y=cosπx   and  y=4x2-1. Sketch the region enclosed by the above curves as shown…

Q: Find

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Q: Find the area of the region that lies between the curves y = sec x and y = tan x from x = 0 to x =…

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Q: 7 – Find the area of the region between the curves y = = cosx and y = sinx from x = 0 to x = 5" 4

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Q: Sketch the region enclosed by the curves and find its area. 1 Vī 1 – x² y = 2 NOTE: Enter the exact…

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Q: Sketch the region enclosed by the curves and find its area. 1 y = 2 V1 - 81x2' NOTE: Enter the exact…

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Q: Find the area of the region bounded below by the x-axis and above by the curve x = 5 sin (0), y = 2…

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Q: Sketch the region enclosed by the curves and find its area. y = cos 4.x, y = 0, x 8' 4 NOTE: Enter…

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Q: Sketch the region enclosed by the curves and find its area. y = cos 11x, y = 0, x = x = 22 11 NOTE:…

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Q: Find the area of the region enclosed by the curves y = 7sin x and y=sin (7x), 0≤x≤t.

A: The region enclosed by the curve y=7 sinx and y=sin(7x), 0≤x≤π

Q: Sketch the region enclosed by the curves and find its area. y = cos 5x, y = 0, x 10' NOTE: Enter the…

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Q: Find the area of the region enclosed by graphs of the functions y=sin(8x) and y=sin(16x),π/24⩽x⩽π/8

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Q: Sketch the region enclosed by the curves and find its area. y = cos 6x, y = 0, x 12 0, x = x = 6…

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Q: Find the area of the region bounded below by the x-axis and above by the curve æ = 4 sin (0), Y = <…

A: The graph of a set of parametric equations can be obtained by finding the rectangular form of the…

Q: Determine the area of the region bounded by the graphs of 1) y = Cos x, y = Sin x in the interal 0,4

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Q: 3 cos(9x), y = 3 – 3 cos(9x), 0 s xs x/9

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Q: Sketch the region bounded by the curves y = sin(x) , y = cos(x), 0 <x <I and evaluate the area.…

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Q: Find the area of the region bounded by the curves y = x andy = sin x from x = 0 to x = π.

A: We have to find the area of the region bounded by the curves y = x and y = sin x from x = 0 to x =…

Q: Sketch the region enclosed by the curves and find its area. 2 x = -, Y х %3D 0, у — 1, у3е y = NOTE:…

A: Area under curves

Q: Sketch the region enclosed by the given curves andfind its area.       y =4 x 2  -1    , y =   cos…

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Q: Sketch the region enclosed by the curves and find its area. 3 x = - x = 0, y = 1, y = et NOTE: Enter…

A: This question is based on application of integration.

Q: Sketch the region bounded by the given curves, then find its area. x = 8 - y^2, x = y^2 - 8

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Q: Find the area of the region Cut from the Ist auadrant /2 r= 4(2-Sin 20) by the curve

A: Solve for the area

Q: Sketch the region enclosed by the curves and find its area. 1 y = V1 – 81x² y = 2 NOTE: Enter the…

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

Q: Sketch the region enclosed by the given curves. y = 8 cos(x), y = 8 - 8 cos(x), 0<x T

A: This question is related to area bounded by curves, We will use integration to solve it.

Q: Sketch the region enclosed by the curves and find its area. 3 I = -, x = 0, y = 1, y = e3 y' NOTE:…

A: The given curves are: x=3yx=0y=1y=e3  To find the area of the region bounded by the curve.

Q: Sketch the region bounded by the graphs of the equations and find its area. y =x² +1; y=x+1

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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.