2. Which of the following shaded regions has an area equal to In 2? y = 1/r y = 1/r 2 3/2 2 А. В. 2 y = 1/r y = 1/x 2 C. 1/2 1 1/2 1 D.

Q: 1. Find the area bounded by a curve v? = 9 – x and the y – axis.

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: Find the area of the region bounded above by y = x + 2 and below by y => X 542 1 1 2 3 4 5 -2 -3 O O…

A:

Q: Find the area bounded by the indicated curves. x=2y2 – 1, x= y? +8 109 OA. 3 О В. 36 ОС. 24 O D. 27

A: We will sketch the graphs and find the points of intersection. Then we will mark the appropriate…

Q: 9. Find the area between y = √x and y = √x+1, over the interval 0≤x ≤4

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Q: 4 Find the area bounded by Y 0, y = 0, x = 2. %3D /144 – 16x? Round to four decimal places.

A: We have to use definite integration.

Q: y = 5x, [1,2]

A:

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

A: given curves are y=x2 and y=x find out the area

Q: 5. Find the area bounded by the lines y = X = è áñd x = 2è.

A:

Q: 4. Calculate the area of the bounded region x= y+3 y=3 x= 1 1112 A. 52/3 (. 32/3 B. 8/3 D. 15/3

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Q: Give area of the region enclosed by y and y = 0 from x = 1 to x = 3. 2 A. 2 В. 3.4 С. 1.5 D. 1

A:

Q: 3. Find the first quadrant area bounded by the following curves: y = x² +2, y = 4 and x = 0.

A:

Q: Find the area of the region bound by the following curves: y = /x, y= 6 – x, y = 1. O 17/6 O 1/2 O…

A:

Q: Determine the area to the left of g (y) = 3 – y? and to the right of x = -1. O 21.33 О 335 O 57.17 О…

A: To determine the area to the left of g(y)=3-y2 and right of  x=-1.

Q: Consider the following shaded region. YA y=ax - x? y=bx Find the area S of this region if a = 4, b =…

A:

Q: 3. Calculate the area enclosed by the graphs of y = e* and y = x², the y-axis and the line x =1

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Q: 11. Find the area of the region enclosed by x+y? = 0 and r+3y? = 2.

A:

Q: Choose which of the following is the EXACT value for the area bounded by y = e" and y = -e' on the…

A: The region is bounded by y=ex and y=-e-x on the interval 1≤x≤2

Q: 5. Calculate the area contained between the curve y = cos x, -T < x < T, and the line

A: To calculate the area contained between the curve y=cos x, -π&lt;x&lt;π, and the line y=12. Note: As…

Q: x? + y? = 4 and x? + y? = 4x Compute the area bounded by

A: The given equations  are

Q: 5. Find the area between x = y + 1, y = Vx and x = 0.

A:

Q: An area bounded byy = 0, x = 0, and y = e*, is revolved about the x-axis. 7. CD method is…

A: Yes it is true we can use CD method here for area revolution and find volume generated due to area…

Q: Find the area bounded by the given curves, axes and/or lines. 1. y? + x – 4y = 5; y-axis %3D

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: y = x², y = 0, x = 1, and x = √5

A:

Q: Determine the area of the region bounded by x = y? – y – 6 and x = 2y + 4. O 21.33 O 7.50 O 10.67 O…

A: To determine the area of the region bounded by x = y2 - y - 6 and x = 2y + 4.

Q: 3 Find the area Of the indicated region. between y=X and y= x2For x 'in

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Q: Find the area bounded by y = 2x² and y = x a. 9/2 b. 7/2 c. 5/2 d. 3/2 e. NONE OF THE ABOVE

A:

Q: Find the area of the region between y = 3x? + 12 and y = 4x +4 over [-3, 3] (Figure 12). y y = 3x2 +…

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Q: 8 Find the area that is inside r=H+20in e and auturide rG - nin E.

A: To find: The area that is inside r=4+2sinθ and outside r=4+2sinθ. Calculation: First shade the…

Q: Find the area enclosed by the given curves. y = csc 2 x, y = cot 2 x, » 7, and x = 00

A:

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 bounded by the following curves and lines. y=(x^2+1)/(x+1) and x+3y=7

A: Given  Region is bounded by the curve y=x2+1x+1      and  x+3y = 7 now  find the  intersection point…

Q: 1. Find the area of the region bounded by y = x? + 4, y = x, x = 0, and X = 3.

A: Note : As per authoring guidelines, when multiple questions are posted, then only first question or…

Q: The area labeled B is three times the area labeled A. Express b in terms of a

A: The area labeled B is three times the area labeled A. To Express b in terms of a.

Q: Let R be the region between the lines y=2x x=3 and y=0 Your answer to the following questions should…

A:

Q: 12. What is the area of the region enclosed by y = x² and y = x? b. d. e. None of the above -IN -IM…

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Q: Find a limit equal to the area shown. y| y= In(x+ 1). 1 3 2. 2.

A:

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: 1. Calculate the first quadrant area bounded by the following curves: y = x2 + 2, y = 4 and x = 0.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the area bounded by y^2 = 2x + 3 and y = x. y = x y? = 2x +3

A:

Q: 2. Find the area bounded by the line x – 2y + 10 = 0, the x- axis, the y – axis and x 10.

A: The red line is x=10 and the blue line is given line i.e. x-2y+10-0 Given x-2y+10=0This can be…

Q: Find the area bounded by the given curves and lines. 1 y? (2-2) x = -2 x = 0

A: Area under the curve y2=12-x3/2, -2≤x≤0

Q: Which of the following shaded regions has an area equal to In 2? * 4 y = 1/r y = 1/r) 1 3/2 2 O…

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Q: What is the area bounded by y = x² and y=3x? О А. 25 О в. 8 О с. 5 9 D. 2 O E. 11.2

A:

Q: Given the curve y = x' and the line y = 2 – x. Find the area of the region bounded by the curve and…

A: Area bounded by the curve y=x2 and the line y=2-x

Q: 1- Calculate the area of the region which is bounded by: y = (x - 1)², y = (x-4)2, and y = 0.

A:

Q: Which of the following shaded regions has an area equal to In 2? y = 1/x y = 1/r A. 1 3/2 2 2 В. 4 y…

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Q: Find the area between y = In x and the x-axis from x = 1 to x = 3. 3 In 3 – 3 In 3 3 In 3 + (-2) OD.

A:

Q: Find the area between y = In x and the x-axis from x = 1 to x = 3. * 3 In 3 - 3 In 3 3 In 3 + (-2)…

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Q: y=x^3−x^2+x+7​; y=2x^2-x+7

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.