d. Find the area of the region. 1. y = 2x? - 2 and y = x2 + x

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 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 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? = 15 – x and x = 6. %3D

A:

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 region enclosed by y=2-x and y = r

A:

Q: Find the area of the shaded region. y y= v x 1 1, 1) X= 27 1 y = 10 15 20 25 2. 4.

A: Given query is to find the area of the shaded region.

Q: 3. Find the area of the region enclosed by y =-r² + 6, y = I, y = 5x, and r>0.

A:

Q: Find the area of the region bounded by: x = y? + 1 y = - x – 1 y = 2 y = - 2

A:

Q: Q3/ Determine the area enclosed by the three straight lines 4y x, y+ 3x = 6 andy = 2x with sketch.…

A:

Q: . Find the area of the region bounded between the circles x? + y? = 4 and (x – 2)2 + y? = 4.

A: Area between curves

Q: Sketch and find the area of the region in the first quadrant outside the circle r=6 and inside…

A: There are two circles. r=6 and r=4+4 cos0=8   Using graphing calculator we draw the graph of both…

Q: Find the area of the region enclosed by x - y? = 0 and x + 2y? = 3 25 - O A) 2 O B) 3 OC) 5 O D) 1 O…

A:

Q: Find the area of the shaded region. ¡y = x² + 1 ... 5 y = x 2 A B D

A: Area of a bounded region by curves is given by ∬dydx.

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 below. x= y? – 4y (-3, 3) x= 2y – y?

A:

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

A: Topic- application of integration

Q: Find the area of the shaded region. y (1, Зе) 8 6- y = 3 e* 4 2

A: We have given curves y = 3xex^2 and y=3ex And we have to find the area of shaded region

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: B\\ Find the area of the region enclosed by the parabola y = x? – 2 and the line y = 2x + 1.

A:

Q: 2. Find the area of the region enclosed by the given curves. 4.x + y? = 12, x = Y

A:

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: Shade the area of the region bounded by, x² + y? p

A:

Q: a. Calculate the area of the region bounded by x? - y – 1 = 0 and 2x – y +7 = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Determine the area of the region bounded by æ = y? – y – 6 and a = 2y+ 4.

A: Area between two carves = double integration of (dx dy) From given two carves we will find limits of…

Q: Find the area of the shaded region. y y= xV4 x y=0 2 y= 0 -2 SQuare units 21

A:

Q: Q3/ Determine the area enclosed by the three straight lines 4y x, y+ 3x = 6 andy 2x with sketch. %3D

A: We have to find the area enclosed by the three straight lines 4y=x, y=3x+6, nad y=2x.

Q: Find the area of the shaded region. y X = y 6 x = 27 / y? 6

A: *to find:- Area, A under the closed region. *concept:- take horizontal elemental strip of length dx…

Q: 'ind the area of the region enclosed by: y = x³ and y = x4

A:

Q: 1. Determine the area of the region enclosed by x = y? - 3 and y = x - 1.

A: Given the two function  x=12y2−3y=x−1

Q: ind the area of the shaded region. y= 2x? + x - 6 y=x2.4 3+ 2 19

A:

Q: Find the area of the region that is enclosed between y 14x? – x³ + x and y = x? + 41x. The area is

A:

Q: Find the area of the region. y? = x°(1 - x²) y 2- -2 2 -2+

A: The question is from the topic of application of Derivatives

Q: x=(y– 13 2- x=3-y 1 T= 2Vy

A:

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

A:

Q: Determine the area of the region L X-axis and y-axis in the first quadrant.

A: The area between the curves y=1+x and y=3-x on interval 0, 3:

Q: 3. Šketch and find the area of the region bounded by a = y? and x = 4 y + 4 2

A: The equation of the curves are C1: x = y24C2: x = y+42 To evaluate: The area of the region bounded…

Q: Find the area of the region enclosed by the curves. y = x? - 36| and y = * 36

A:

Q: a) Find the area of the region enclosed by the curves y = 12 – x² and y = x? - 6. Answer: A =

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Ive the area of the region bounded by y=x²– 3x+ 12 and by y=18+x-x? A) -199 B 199/3 c) 63 D -10/3

A: Given query is to find the area bounded by the region.

Q: Find the area of the shaded region. y = x – 2 2+ y=V 1 2 3 4 | square units

A:

Q: 2. Calculate the area enclosed by the graph of y = x + 2x? - 5x - 6 = (x + 1)(x – 2)(x + 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 region. f(x) = 25 – x? y 30 25 20 15 10 5 -10 10

A:

Q: Find the area of the region that lies inside both curves.

A:

Q: Find the area of the region between y = 4x² and y = a? + 2.

A: Explained below

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

A: area = upper curve - lower curve

Q: 12) Find the area of the region in the first quadrant bounded by y = x and y= x

A: Given query is to find the area of region bounded by given curves.

Q: Find the area of the region inside the circle r 6 and above the line %3D r= 3 csc 0.

A: