15. x² dA; R is the region bounded by y = 16/x, y= x, R and x = 8.

Q: 2/ determine the area of the region enclosed between the curves x= 0sy'-3 and y=x-1? ans/ 18

A: Please see the explanation below

Q: 2. Find the cerntroid of the area bounded by the curve y= 2x + 1 x+y =7 and x= 8

A:

Q: Find the area of the region bounded above by y = 6x - x2 and below by y = 2x. AY 10- 8 6 4 2- X…

A:

Q: 3. Find the area bounded by the curves x2 + y2 = 9 and 4x2 + 9y² 36, on the first quadrant.

A:

Q: x = y² and the line y = x − 2

A:

Q: 15 - Which of the following is the volume of the object that occurs when the region bound by the y =…

A: We first sketch the region using a graphing calculator  The shaded region is rotating about the y…

Q: 12) Find the area of the region between the curve y = 22-X and the interval 0 < x < 2 on the х-ахis.

A:

Q: 26. Find the area of the region bounded by the curve y = 4x – x?, the lines x = 1 and x = 3 and the…

A:

Q: Determine the area of the region between the two curves by integrating over the y-axis. x = y² and x…

A:

Q: 8. Find the area bounded by x² – 6x + y = 0, x² – 2x – y = 0, and the x – axis.

A:

Q: 9. Find the exact area of the region bounded by y = x² – 2x + 1 and y = 7 – x

A:

Q: 1. Find the area bounded by y = 4x-x, x+2 = 0 and y = 4 using vertical and horizontal strip

A: Solution is given below:

Q: 4 Find the area bounded by Y 0, y = 0, x = 1. 256 – 16x² - Round to four decimal places.

A:

Q: 7. Find the area bounded by the curve y = 4x - x^2 and the lines x = 0 and y = 4.

A:

Q: 4. Find the area of the region bounded by y = cos x, y = sin x, x = 0, x = %3| might have to break…

A:

Q: 1. Find the area of region bounded by the curves y = x² and line y=x. %3D

A: We have to determine area of region

Q: 1.) Find the area of the region bounded by the curve ya 12 and the lines y=o, y=x, x=2.

A:

Q: Find the area of the given region y = tanh 2x

A: Given curve and figure: y = tanh 2x

Q: 1. Find the area of the region bounded by the graphs of the equation y = x and y = x2.

A:

Q: 12 - Which of the following is the volume of the object that occurs when the region bound by the…

A: We sketch the region using a graphing calculator  The shaded region is rotating about the y axis

Q: 1. Find the area of the region bounded by the ves y = x³ – 5x + 6, y = 10 – 4x – 4x2 and the line x…

A:

Q: 2. Find the area bounded by y = ÷x' 3x and y = -4. - %3D 3,

A:

Q: The bounded by y= xx*+1, area of the region axis. y=x, x-- 3, and

A:

Q: 12 - Which of the following is the volume of the object that occurs when the region bound by the xy…

A: We sketch the region using a graphing calculator  The shaded region rotates around the y axis

Q: 2. Find the area between the curves. x = - 2, x = 1, y = 6x, y = x2 - 7

A: Given: x=-2,x=1,y=6x,y=x2-7

Q: 9. Consider the region bounded by the curves y = e", y = e¬¤ and y = 2. %3D

A:

Q: 8. Find the area between the curves y = x x² and y = x2 – 4x between x = O and x = 2.

A: For calculating the area between curves first of all we will draw the schematic diagram of the…

Q: 4.Find the area of the region bounded by the curves y = x² – 2x and y = x.

A:

Q: 10. Find the area bounded by the curve x = y² + 2y and the line x = 3.

A: Area Bounded by the Curves : If f(y) and g(y) are two continuous function on a,b and f(y)≥g(y), then…

Q: What is the area bounded by the curve y² x – 4 = 0? А. 29/3 В. 30/3 С. 31/3 = x and the line %3D -…

A:

Q: 2. Find the area of the region bounded by x=y², x=-1, y = 2 and y = -1.

A:

Q: 11 Find the area of the region bounded by y = x² + 2x – 1, y = + x x = -3, x = 1. 2

A: Area between curves

Q: 4. Ris the planar region whose area can be evaluated by: L,(x+ v2 – x) dx + S 2V2 – x dx. -

A: Given that, The area can be evaluated by, A=∫-21(x+2-x)dx + 2∫122-x dx We have to find the area.

Q: 8 Determine the area of the region bounded by the curves y = =, y = 2x and x = 4

A:

Q: 7. Determine the area of the region bounded by y y = x+2 3 (x + 2)2,x = -.x = 1.

A:

Q: 5. Find the area of the region bounded by y = e", y = e¬¤ and x = 2

A: We have to find the area of the region

Q: 2. Find the area of the region bounded by the graphs of y = x2 – 6 and y – 3 = 0. - -

A: Graphically: Now, the area can be found as the following.…

Q: 2. Find the area bounded between the curves: y = x², y = 4 – 3x, and x = 2 %3D

A:

Q: 2. Find the area of the region bounded by x = y² - 4 and x = 3y.

A: Given query is to find the area of the region bounded by x=y2-4 and x=3y. The rule for integration…

Q: 5) Calculate the area of the region between the curves: y=2-x² and y=x²

A:

Q: 3. Find the area bounded by the curve y 4sin(2x), the x-axis, and the lines x = 0 and x =

A: We have to find the area bounded by the given curves. We will find the area by the help of…

Q: 5) Calculate the area of the region between the curves: y = 2 = x² and y = x²

A: We can find the area as below.

Q: 1. Find the area of the region bounded by the graphs of the equation Y = x and y = x2.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 6. Determine the area of the region bounded by x = −y²+ 10 and x = (y 2)²

A:

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: 1/ Find the area of the region bounded by the line y = 1- x and the curve x = 3 - y

A:

Q: 3. Find the area of the region bounded by the curves y = x² and y = x/x+2. .

A:

Q: What is the area bounded by the curve x^2=-9y and the line y+1=0. O 3 O 4 O 5

A: Given equations: x2=-9yy+1=0

Q: 5. Determine the area of the region bounded by y = 2x² + 10 and y = 4x + 16. %3D 28 24 y= 4x+16 20…

A:

Q: 8. Consider the region bounded by y =- * , y = Vx, x=1. х

A: Let us consider the curve y=f(x) and y=g(x) The area under the curve y=f(x) and y=g(x) in the…