Find the area of the region. 5. y D y 5- 4 3 10 15 20 25 -1F

Q: Find the area of the region enclosed by the graphs of: y = x and (y- 2)² = x + 4 . | 25 A) 2 25 B) 3…

A: Given:     curves y=x and y-22=x+4     here x=y and x=y-22-4

Q: Find the area of the shaded region. y = V 1X1, 1) x = 27 10 15 20 25

A:

Q: Find the area of the shaded region. y y=9x-x² 20 15 7, 14) 10 y= 2 x 2 4 6. 8 10

A:

Q: Find the area of the shaded region. 26 OA. 3 Q y =x? + 3, 22 ОВ. 3 (2,7) 25 С. 3 23 OD. 3 |(0,3)

A: Area of shaded region.

Q: Find the area of the shaded region. y-2 C4, 2) O4, 2 A) 2 (B) n-2 D) n

A: The area of the region can be found by the following formula  Area =∫abydx Area =∫ab|f(x)-g(x)|dx…

Q: 4 -2 2. a

A:

Q: Find the area of the region bounded by the triangle with vertices (0,0), (3,4), (7,0). Explain your…

A: Given Data: O(x1,y­1) = O(3, 4) A(x0,y­0) = A(0, 0) C(x2,y­2) = C(7, 0)   This problem can be solved…

Q: Find the area of the region inside the circle r=4cos(θ) and outside the circle r=2

A: Given: -

Q: Find the area of the region enclosed by the graphs of: y? = 9 – x and x = 5. 32 A) 3 24 B) 3 16 C) 3…

A: The region is enclosed by the graphs ofy2=9-x and x=5

Q: Find the area of the shaded region. x = 2- y2 -2 2 11 A 10 - 3. 8. D. 3. 2.

A: The area of the Shaded Region: the shaded zone's area is computed by subtracting the area of a…

Q: Find the area of the shaded region. (3,7) y = 2x + 1 (1,3) A 10 12.5 7.5

A:

Q: Sketch the region enclosed by y=4x and y=5x^2. Find the area of that region

A:

Q: Find the area of the region bounded by x = y? – 4 and y -5 10 15 6,

A: Area is 26.167

Q: Find the area of the shaded region. y 2 x = y? – 9 y = 1 x = eY -10 -8 -6 -4 -2 2 4 y = -1 -2

A: Given

Q: rectangle. y = 2/x, y = 4/x², x = 6 y y 35 30 25 -1 20 -2 15 -3 10 5 1 2 4 6 -5- y 5- 2 4 4 -2 3 -4…

A: Given that the curves y=2x,y=4x2 and x=6. Sketch the region enclosed by the given curves . Find the…

Q: Find the area of the shaded region. y = +3 (0,3) (2,7) A) 25/3 B) 352/3 C) 26/3 D) 22/3 2 x

A:

Q: Compute the area of the shaded region. y=-x+4 p+X =Á O 2 16 8. 32

A:

Q: Find the area of the shaded region. y 4 3 y= V x 2 마 1, 1) X = 27 y : to 5 10 15 20 25

A: The sketch of the region bounded by the curves is  To evaluate: The area of the shaded region.

Q: Find the area of the region enclosed by y = 4.75x and r = 8.5 – y?. 5 6 7 8 on

A: Given two equations To find the intersection of both equations, use substitution method

Q: can i get step by step help please

A: We first find the area under y=4-x2 between x=0 and x=2 (by integrating)

Q: Find the area of the shaded region.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Consider the following equations. y  =  x2 − 4 y  =  −x + 5 x  =  0 x  =  2 Find the area of the…

A:

Q: Find the area of the shaded region. y 15 y=7x-x² 10 (5, 10) 5 y=2 x 4 8.

A: The area of the shaded region is, 125/6  the detailed solution is as follows below:

Q: Find the area of the region enclosed by y = 3.5x and x = = 8.5 – y?. 4 7 8 to

A: y=3.5x  x=8.5-y^2

Q: Find the area of the region enclosed by the graphs of: y? = x+5 and y2 = 3 - x. 32 A) 3 16 B) 3. 64…

A:

Q: Find the area of the region bounded by y²= 8x and ? = x please include graph and solution

A:

Q: Find the area of the shaded region. O Save y= 9 x- x 15 (7, 14) 10 5 y=2 x 2 4 8. 10 6. 20

A: To find the area of shaded region

Q: Q/ Find the area of the region shared by the circles r = 2cose & r = 2sin0.

A:

Q: y = x? - x - 12, y = 0, x = -3, x = 3 y 10 10 10 10 5 -4 2 -4 -2 4 2 4 -5 - 10 10 -10 -10 Find the…

A:

Q: Find the area of the shaded region. y 15 y = 7x-x² 10 (5, 10) 5 y= 2 x 4 6. Enhanced Feedhaclo

A: We can application integration in order to solve the given problem.

Q: Determine the area of the shaded region in square units. y 3.5 2.5 2 1.5 1 0.5 1 2 4 square units 3,…

A:

Q: Determine the area of the region that lies inside r = 3 + 2sinθ and outside r = 2. Illustrate and…

A:

Q: Find the area of the region. y 5- 4. 10 15 20 25 3. 2.

A: We will be using integration method to find the area under the curve. y = 5/√x From the graph, When…

Q: Find the area of the shaded region. 4+ x = y? 2+ 9. 4 6. 8. 2. -2+ 10* 4 Select one or more: Oa. 18…

A: we have to find the area of the shaded region

Q: Find the area of the shaded region. y 14 y = 7x -x? 12 10 (5, 10) 8 6. 4 y = 2 x х 2 4 6 8 2.

A: Given the diagram :

Q: Find the area of the shaded region below. x = y? – 4y (-3, 3)

A:

Q: Determine the area of the shaded region. 14r y=7x-x² 12 10 y=x 2 (6,6) 8

A:

Q: Determine which graph corresponds to the area enclosed by the curves y = 7a? and y = x? + 2. -4 -3…

A:

Q: Q.25) Find the area of the region enclosed by the cardioid r=3(2+2cos0)

A: To Find: Area of the region enclosed by the cardioid r=3(2+2cosθ).

Q: Find the area of the shaded region. O A. 7.5 B. 12.5 8- ОС. 5 O D. 10 (3,7) 6- y = 2x + 1 4- (1,3)…

A: answer = 10   explanation is given in below step

Q: Determine the area of the shaded region given the following figure. Ay 8- x = 2y x=y? - 8 -12 12 -8-

A:

Q: Find the area of the region. f(x) = 25 – x? y 30 25 20 15 10 5 -10 10

A:

Q: the area of the region. 4 y = y 5- 2 1 5 10 3.

A: Topic:- application of integration

Q: (B) Find the area the region inside the limacon r 4+3cos 0

A: Given polar curve, r=4+3cosθ

Q: Find the area of the shaded region. y x = y - 4 y 15 5 4'2 2 -6 -5 -4 3 -2 X= y-y -2 -4 -6F

A: Given, The right function   x = y -y2  and left function     x = y2 - 4y Point of intersection of…

Q: 4. Find the area of the region enclosed by the equations below. y = z? and y = 4 – 3x

A:

Q: Find the area of the shaded region. y = <솔, 2) <2,놀) 1.69 1.25 o 1.39 1.50 1/2

A: Given a shaded region which under the curve y=1x between the points x=12 and x=2. Find the area of…

Q: Find the area of the region enclosed x = y? – y and x = 2y? – 2y – 6

A: area = upper curve - lower curve

Q: 4. Find the area of the region that is inside of the cardioid r= 4+4sin0 and outside the circle r=…

A: Cardioid is the curve traced out by a point on the circumference of a circle rolling around another…

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.