y = 2x ve x +y² = 20

Q: Find the area of the region enclosed by the given curves y = x^2 y = 32/ x^2 + 4

A:

Q: Find the area of the region bounded by the curves y = x, x = 1 and y = 0. %3D A. 1 В. C. 1 3 D. 1 4…

A: Area = integration of upper curve - lower curve and put the limits.

Q: Find the area of the region(s) enclosed by the curve y = |2x - 6|, the x-axis, and the lines x = 0…

A: Given: y=2x-6x=0 and x=4

Q: ) Find the gavea d the region encleSed by the line x-In3 and the curves y= ex and %3D y= ex

A:

Q: Find the area of the plane region bounded by the given curves 1. y = x, y = 2x, and x + y = 6…

A:

Q: y=x² And y=-x+4¢

A: Given: y=x2   and y=-x2+4x

Q: Find the area of the region bounded by the parabola y² = 2x2 and the line y = x - 5. 16 17 18 19…

A: Given: y2=2x-2 and y=x-5 Now find the point of intersection between the given curves. y2=2x-2 ;…

Q: 3. Find the area of the region in the first quadrant that is enclosed by the coordinate axes and…

A:

Q: Find the area of the region bounded by the curves y=x4 andy=2x-x²

A:

Q: Find the area of the region bounded by the given curve: x=e, y=0, y=1/x, y=x2

A:

Q: (a) Find the area of the region bounded by the given curves x+y=0, x = y² + 3y.

A: x+y=0  -----(1)x=-y x=y2+3y ------(2) for points of intersection y2+3y=-yy2+4y=0y(y+4)=0y=0,-4

Q: Find the area of the plane region bounded by the given curves: y= x^3, y= x + 6, and 2y+2 = 0

A: Explanation of the answer is as follows

Q: Find the area of the region. y = Vx y 6F WebAssign Plot 5 4 3 2 X 25

A: There is a vertical line at x=25 So it is x=25. upper limit is 25 too.

Q: The area of the region bounded by y = v9– x² , the x-axis and the line first quadrant is: O 9(n+2)/8…

A: Given: To explain the correct option of the given statement as follos,

Q: Find the area of the region enclosed by r = y² and y = x – 2.

A:

Q: The area of the region enclosed by the curves y=x,y= - x, x= 1, x = 4 is Select one: O a. 4 O b. 11…

A:

Q: Find the area of the region bounded by the curve y2= 4x and the lines x = 1 and x = 4. A 56/3 square…

A: area of the region will be obtained by taking out the definite integral of the function within given…

Q: Q3) The area of the region enclosed by the curves z = y and 3r = -y? +4 is where

A: Find the points of intersection of two graph and the set up the definite integral using the Area…

Q: Find the area of the region bounded by the curves y? – 2x = 5 and 2x – y = 1. 175 - 125 b) 242 186…

A:

Q: Find the area of the region enclosed by the given curves. y = sin x, y = 2x/T, x > 0

A:

Q: Sketch the region enclosed by the given curves. y = 8x, y =x, y = 2/x, У 6F 6F 4 1 4 У 3 3 1 3 4…

A: First of all, plot the curves y = 2/x, y = 8x and y = (1/8) x using the graphing utility.Consider…

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

A:

Q: Given the curve y = x´ and the lines y = 0 and y = 2 – x Find the area of the region bounded by the…

A: Given

Q: Find the area of the region enclosed by the curves x=2y3-8y2 +6y, x=y²-y (A) 16.21 B) 13.42 12.72…

A: Draw the curves and find the intersection points then calculate the area enclosed.

Q: Find the area of the region bounded by the curve y=1-. and the x-axis. A 6 square units B) 8 square…

A:

Q: Q1// Sketch the region and Evaluate: || ve* dA Where D; is the region bounded by the curve y = vx…

A: The graph is as follows  The yellow colored region is the region D

Q: Find the area of the region bounded by the curves y + 2 = Vã and y = x - 2 а. b. 1 6 С. 1 6 d. 5 16

A: First of all equate both the equations and get the intersect points

Q: Find the area of the region bounded by the curve y=1- and the x-axis. A 4 square units B 6 square…

A: Solution is here

Q: Find the area of the region bounded by the given curves. a. y = 2 – x2, y = x² b. у%3D Зх + 2, у %3D…

A:

Q: The area of the region bounded by the two curves y = x and y = 49 %3D %3D Square Units o

A:

Q: Find the area of the region bounded by Vx2 + y?=4, y+4%3D0,y-4=0 and x-10=D0

A:

Q: the 6) Find the a by curves y=x° and y=X ea of the region enclosed A) D)

A:

Q: Sketch the region enclosed by the given curves. y = x* - 15x?, y = x? 20 4 40 -6 -2 6 2 -20 20 -6 -4…

A:

Q: What is the area of the region in the first quadrant, bounded by the curve y = Vx and y=x? (A) (B) 4…

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Q: Find the area of the region bounded by the curves y + 2 = Vx and y = x-2 O a. Ob. 5 9. 1

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Q: Find the area of the region enclosed by the given curves y=cosx y=1-(2x/pi)

A:

Q: Sketch the region enclosed by the given curves. X = = 8y?, x = 4 + 7y2 y y 30 30 25 25

A: Given equations x=8y2x=4+7y2 Graph both the equations using graphing calculator

Q: 12 Find the area of the region enclosed by the curves y and y = 6 x2 1+ 16

A: Here we have to find the area of the region enclosed by the curves y=12/(1+(x2/16)) and y=6 .

Q: O Find the area of the region bounded by the given curves. (a) y = 1 – 2x?, y = |¤| (b) x+y = 0, r =…

A: We will solve the area

Q: Find the area of the region enclosed by the curves x + y² = 3 and 4x+ y? 0 %3D

A:

Q: While evaluating the area of the region bounded by two curves Vy = z and y - 14x + 48 = 0, the…

A:

Q: Find the area of the region bounded by the curve y2–4r and the lines x = 1 and x = 4. 24 square…

A: area of the region can be obtained by definite integral of the function within given limits. here we…

Q: 343 2 1. y = x² - 9 and y = x + 3 (Answer: 6 s. u.)

A:

Q: Sketch the region enclosed by the given curves. Then find the area of the region. y = 3x?, y = x² +…

A: topic - area enclosed between the curves

Q: Find the area of the plane region bounded by the given curves: y= x, y= 2x, and x+y= 6

A: Given: y=x, y=2x and x+y=6 Now find the point of intersection between the line y=x & x+y=6…

Q: Find the area of the region R enclosed bg the parabala y=x² and the line y=X+2.

A:

Q: Calculate the double internals 2 SSD (x² + y²³) d A where I is the region in the first quadrant…

A: To find- Calculate the double integrals ∬Dx2 + y2 dA where D is the region in the first quadrant…

Q: Find the area of the following regions. The region enclosed by the curves y = 2x and y = x². а. b.…

A:

Q: Find the area of the region bounded by the curve y=1– and the x-axis. A 8 square units B 6 square…

A: Refer Attachment.

Q: . Find the area of the region enclosed by the loop of the curve x = 1 – t², y = t – t³ at a pol

A: Solution: The objective is to find the area of the region enclosed by the loop of the curve x=1-t2…

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.