Q3 Shade the area of the region bounded by, x² + y? p Hence, find the area of the specified region using integration.

Q: Q3 Shade the area of the region bounded by, x² + y² p Hence, find the area of the specified region…

A:

Q: x² + y? << and |x| + \yl ET Hence, find the area of the specified region using integration.

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Q: Q4: Find the area bounded by: e) y = 2* , y= x² + 4x and - 4< x< 0.

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Q: The area bounded by the curve y -V4 – x² and the x-axis over the interval -2, 2] is Select one: a. 4…

A: Realize that the given curve is the bottom half of the circle x2 + y2 = 4 i.e. bottom half of the…

Q: 3 Shade the area of the region bounded by, x² + y? p Hence, find the area of the specified region…

A: Giv

Q: Solve for the area of the region bounded by x² = 4y + 4 and x = y = 2

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Q: What is the area of the region enclosed by the curve y=e^x and the lines x=-1 and y=3?

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Q: Q2) Find the area of the region bounded by the ( yı=v=x ), (y2=x+2) & ( y3=0).

A:

Q: Q3 Shade the area of the region bounded by, x 2+y 2sp2 and |x| + |y| > pHence, find the area of the…

A:

Q: 4. Find the area of the shaded region by integrating with respect to 'y', y-2x-4 1.-2)

A: The area between two curves f1 and f2 between the points y=a to y =b is given by; A=∫ab(f2-f1)dy

Q: Q2/ Find the area of the region enclosed by the curves y = x , y=÷ & the line x = 2. x²

A:

Q: By sketching the graph and using integration, find the area of the region bounded by, p*y² = x°(2P –…

A: P4y2=x5(2P-x) To Find: Sketching the graph and using integration, find the area of the region.

Q: Q5: Find the area of the region R bounded by the carves y = x² -1 and y = x

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Q: Shade the area of the region bounded by, x² +y? p Hence, find the area of the specified region…

A:

Q: Q2) Find the area of the region bounded by the (y=V4+x ), (y;=2-x) & ( y;=1).

A: Double integral is used to integrate the function of two variable over two-dimensional region.…

Q: Q3) Find the area of the region enclosed by the curves: y y = x, and y = 1

A:

Q: Q4/ Find the area of the region enclosed by the curves 4x² + y = 4 and x* - y = 1.

A: Consider  the curves  4x2+y=4x4−y=1

Q: Find the area of the region bounded by y = x', x = y°, and æ + y= 2. = x²,

A: Given: y=x2 ,x=y3 and x+y=2 Graph:

Q: 9x2. Decide whether to integrate with respect to x or y. Then Sketch the region enclosed by y = 2x…

A:

Q: Q2 Shade the area of the region bounded by the parabola, x² +p2 - 2(p+7)x – 5y + 59 + 14p = 0 and…

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Q: Qz Find the area bounded by y =x3 and y = Vx %3D

A: We need to find the are of the shaded region given in the figure below

Q: Q3 Shade the area of the region bounded by, x? + y? 7 Hence, find the area of the specified region…

A: Area between curves.

Q: Q4) Find the area of the region bounded by the lines (y=x) & (V=2-x) for xsO.

A:

Q: When P = 3 Q3 Shade the area of the region bounded by, x² + y? 7 Hence, find the area of the…

A:

Q: Q4) Find the area of the region bounded by the lines ( y=x ), (y=2-x) &(x=1).

A: To find the area of the region

Q: Q2) Find the area of the region bounded by the (y=v-x ), (y2=x+2) & ( y3=0).

A: Take strip along x axis and solve it.

Q: 5 y 2 1 y 10 5 24x y = 5 14 How do you find the area bounded by these lines and the y-axis using…

A: Given: y=x2+52y=−x10+15y=24x5−14

Q: Find the area of the region bounded by y = 2x? - 3x +2 the x axis and the vertical lines x= 0 and x…

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Q: By sketching the graph and using integration, find the area of the region bounded by the ellipse and…

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Q: Shade the area of the region bounded by, x2 + y? p Hence, find the area of the specified region…

A: Given problem is :

Q: Q2. Find the area bounded by y? = 4x and y = 2x - 4

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Q: Find the area of the region bounded by y = (1/8)(-x² + 6x +7) and y = -6. Answer:

A:

Q: Shade the area of the region bounded by, x 2+ y2sp? and |x| + ly| 2p Hence, find the area of the…

A:

Q: Q3 Shade the area of the region bounded by, x? + y? p Hence, find the area of the specified region…

A:

Q: Solve for the area of the region bounded by: x^2 = 4y + 4 and x = y - 2

A:

Q: Shade the area of the region bounded by the parabola, x 2+p2-2(p+7)x-5y+59 + 14p 0 and the straight…

A: Equation of the parabola: x2 + p2 -2p+7x - 5y + 59 + 14p = 0               (1)Equation of lines:x =…

Q: Find the area of the region bounded by = y ; x=2y²_4

A: The given functions are x=y2 and x=2y2-4 To find the area enclosed between the curves.

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

A:

Q: Find the area of the given region using any method

A: Given, figure we have to find the area of given shaded region

Q: Q3 Shade the area of the region bounded by, x² + y? <p² and |x|+ |y| 2 p Hence, find the area of the…

A:

Q: Q5: Find the area of the region R bounded by the carves y = x2 – 1 and y = x -

A:

Q: Shade the area of the region bounded by, x? + y? s p? and |x| + \y] > p Hence, find the area of the…

A: Answer

Q: 4) Sketch the region and find the area bounded by + = 1, y = ±3 and y = x + 4 using double…

A: We have to find the area of the region.

Q: Q12 By sketching the graph and using integration, find the area of the region bounded by, P'y? =…

A: Consider the given equation. P4y2=x52P-x As, we have no value of P. So, let's choose randomly the…

Q: Q: Find the area bounded by y=7- 2x2 and y = x2 + 4

A: .

Q: Shade the area of the region bounded by, x + y's 36 and x| + lyl 2 6 Hence, find the area of the…

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Q: What is the area of the region in terms of x? OA. (x2 - 11) dx+ | (10x) dx - V11 I (2-11- 1Ox) dr

A: question on area finding using definite integral

Q: Find the area of the region enclosed by the two curves y = 2|x| and y = x² – 3.

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Q: Q1: Find the area of the region bounded by y= Vx, y v4-x and x-axis.

A:

Q: Solve the area bounded by y³+y²+10 = (x+1)², the lines y=−2 and y=2 *

A: The given problem is to find the area bounded by given region and between the given lines y=-2 and…

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.