Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to r or y.…

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Q: Sketch the region bounded by the given curves, then find its area. x=y2, x=y+6

A: Here we have to sketch the region bounded by the given curves.  We have, x=y2, x=y+6

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to r or y.…

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Q: Sketch the region bounded by the curves and find the area of that region.

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Recall: If x=f(y) and x=g(y) are two continuous function on [a,b] and f(y)≥g(y) on a≤y≤b , then the…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Sketch the region enclosed by the curves y = x? – 1 and y =1+x. Hence find its area.

A: We will find out the required value.

Q: Sketch the region enclosed by y = 2x and y = 3x. Decide whether to integrate with respect to r or y.…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to xx or…

A: The given curves are y=3x and y=4x2. Sketch the curves as shown in the figure below. From the above…

Q: Sketch the region enclosed by the given curves and find the area.  y = 12 − x ² , y = x² − 6

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Q: Draw the figure showing the region and find the area of the region bounded by the curves. y 4 - х?;…

A: Area is calculated with the help of double and single integral. In case of single integral function…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to xx or…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: . Sketch the region enclosed by y= 9-x and y = 0 and calculate its area. 14.

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

A: Given,            The equation of the curves are y=x2 and y=2x.To find : Find its area.

Q: Sketch the region enclosed by the given curves. y=5cospix, y-12x^2-3 Find its area.

A: Plot the curves. From curve, upper curve=5cosπxLower curve=12x2−3LL=−0.5 and UL=0.5

Q: Sketch the region bounded by the curves y = /x and y = x/3 and find the area of the region.

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Q: Calculate the area of a region bounded by the curves =x and y= Vx

A: I am solving this in step 2

Q: Sketch the region enclosed by the curves and find its area y = 2 – x² and y = x

A: the given curves are y=2-x2 and y=x. To find: the area of the region bounded by the given  curves.…

Q: Sketch the bounded region enclosed by y = e5", y = e'æ and x = Decide whether to integrate with…

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Q: Sketch the region enclosed by the given curves andfind its area. y = ex , y =xex ,x = 0

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Sketch the region enclosed by the given curves and find its area. y = x²,y = 4x – x²

A: Given y=x2 ,y=4x-x2

Q: Sketch the region enclosed by a + y² = 6 and æ + y = 0. Decide whether to integrate with respect to…

A: In the above figure, area enclosed by the curves x+y2=6 and x+y=0 is given.

Q: Sketch the bounded region enclosed by y = ex, y = e* and x = 1. Decide whether to integrate with…

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Q: Sketch the region enclosed by the curves/lines x = y, y =1/x, x = 3 and find its area.

A: given,         x=yy=1/xx=3

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Let's find.

Q: Sketch and find the area of the region that lies inside the curve r = 4 + 3cose .

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Q: Sketch the region bounded by the given curves, then find the area of the region. 25 y = 5 x = 2, y =…

A: We have to find the area between the two curves.

Q: Sketch the region enclosed by the given curves andfind its area.       y +x = 3     , y = 2  x 2  ,…

A: The given curves are x+y=3 , y=2x2 and y=14x2 , x≥0. To sketch the curve and find the area. The…

Q: Sketch the region enclosed by the given curves and find its area. 1 y x > 0 y = x y 4 | || |8

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to z or y.…

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Given: 2y=5x ; y=4 ; 2y+3x=8 We know that, the graphical transformation; The transformation y=afx…

Q: etch the region enclosed by the curves and find its area

A: Here we have to sketch the region enclosed by the curve y=|x-2| and x-5y+10=0.  The required region…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: ) Sketch the region enclosed by the given curves and find its area. y = -x² +4x, y=x² – 2x

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Q: Find the area of the region that is bounded by the given curve a

A: Given, r=e-θ6, π2≤θ≤π

Q: 23. y = 2x, y =}r

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to z or y.…

A: Here we sketch the region and then we find thepoint of intersection and then find the area bounded…

Q: Sketch the region enclosed by the given curves. y = /x, y =x, X = 25

A: The area of the region is calculated using the formula where a and b are the points where the 2…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Given curves are: C1: 2y=3x                      ...............(1)C2: y = 4…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: The given curves are  y =3 2y = 4x 2y + x = 5 Intersection points of both curves are  5 - x = 4x…

Q: Sketch the region enclosed by the curves and find its area. y = |x – 2|, x – 5y + 10 = 0

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Q: Sketch the region enclosed by a + y = 30 and r + y = 0. Decide whether to integrate with respect to…

A: Recall: If f(y) and g(y) are continuous on a,b and f(y)≥g(y)  on a≤y≤b , then the area of the region…

Q: +4

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Q: Sketch the region bounded by the given curves, then find the area of the region. 25 y = 23. y = x =…

A: Formula:    Area=∫abf(x)-g(x)dx We have, f(x)=25x3, g(x)=5x2, a=2, b=12

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.