3. Region R is bounded by the given curves. Find its area using horizontal rectangular elements. y = = Vx +1, x – y = 1, y = 0. -

Q: find the area bounded by the curve y = (1 + x^2) / (2x^2) and the lines y = 0, x = y, and x = 2

A:

Q: Sketch the region bounded by the given curves, then find its area. x=y2, x=y+6

A: Here we have to sketch the region bounded by the given curves.  We have, x=y2, x=y+6

Q: Consider the region R determined by the lines x=0, y=1 and the curve y=x^8. Determine n such that…

A:

Q: Sketch the region enclosed by the given curves. y = 2/x, y = 8x, y = x > 0 y y 6F 5- 5- 4 4. 3 2 1 1…

A: Given equations: y=2x. . . . . (1)y=8x . . . . . (2)y=18x . . . (3)x>0 Explanation: First we…

Q: Sketch the region enclosed by the given curves and find its area. (a) 4x + y2 = 12, y = x (b) y = 3x…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Compute the area of the region enclosed by the curves y = x² + 3 and y = 5. %3D 8/2/3 O 1/3 None of…

A:

Q: Sketch the region enclosed by the following curve and find its area. x=y¹, y = √2-x, y=0

A:

Q: Sketch the region enclosed by the given curves andfind its area.   y  = 1/x,  y =x ,    y =1/4x  ,…

A: y  = 1/x y =x     y =1/4x and x>0 Formula: Area enclosed between the curves y=f(x) and y=g(x) on…

Q: Sketch the region bounded by the given curves, then find its area. 2. x = y2, x = y +6

A:

Q: Sketch the region enclosed by the given curves andfind its area. y = x2 ,y = 4x - x2

A: Let us find the point of intersection by equating the two curves  x2=4x-x2 x2+x2-4x=0 2x2-4x=0…

Q: Sketch the region bounded by the given curves, then find its area. 1. y = x², y = 2x

A:

Q: What is the area of the region enclosed by the curves y=e^x, y=x^2-1 and the lines x=-1 and x=1?

A:

Q: The region shown is bounded by x = 3 , y = 0 and y = x

A:

Q: Sketch the region enclosed by the given curves andfind its area.   x = 2y2    ,x = 4 + y 2

A: Given curves are x=2y2 and x=4+y2 Will find the intersection points of the given curves. We will…

Q: Draw the region bounded by the curves r=√(3cosθ) and r=3sinθ and find its area.

A:

Q: Sketch the region bounded by the given curves, then find its area. y = 2x - x^2, y = 2x^2 - 4x

A:

Q: Find the aea of the region bounded by 2. given Curves

A: We have to find the area bounded by the given curves. This problem can be solved by using…

Q: Sketch the region enclosed by the given curves. x = 6y?, x = 1 + 5y?

A: To sketch the region enclosed the given curves:- x = 6y2x = 1+5y2

Q: Find the area of the region bounded by the graphs of the equations y = e, z = 0, z= 5, y = 0

A: To find the region bounded by the following graphs of equations,  y = ex  x = 0 x = 5 y = 0

Q: 17) Find the total areas of the regions bounded 17.1) y = e", y = e(2 – x), y axis |

A:

Q: y =x.y = x, x> 0 1 1 y : X у —х, у — —х, х > 0 4

A: we need to use integration to find area between curves

Q: 1) Sketch the region bounded by y = 1– x and y = x2 – x and find the area of this region. 2) Sketch…

A:

Q: y = ; y = -x², x = 1, x = 2

A: Area between curves

Q: 2 the area bounded by y = x , y = x is

A:

Q: 5. Sketch the region enclosed by the given curves and find the area bounded by the curves y = Vx –…

A:

Q: Sketch the region enclosed by the given curves and find its area: y = (x – 3)2, y = x + 3.

A:

Q: sketch the region enclosed by the curves y=x^2 , and x=y-3 , and then find its area

A: Given: y=x2  and x=y-3

Q: Find the area of the region bounded by the graphs of the given equations. 1 y = 4x + y = 0, х %3D 1,…

A:

Q: Sketch the region enclosed by the given curves andfind its area.   y = |x| ,    y = x2- 2

A: Given curve  y=x2-2 and y=x When the value of x<0 then, y=-x and and when x>0 then y=0. Solve…

Q: Sketch the region enclosed by the given curves andfind its area.       y +x = 3     , y = 2  x 2  ,…

A: The given curves are x+y=3 , y=2x2 and y=14x2 , x≥0. To sketch the curve and find the area. The…

Q: Sketch the region enclosed by the given curves and find its area. 1 y x > 0 y = x y 4 | || |8

A:

Q: Find the area bounded by the given curves, 1, x^2=y-1 , x=y-3

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Sketch the region enclosed by the given curves andfind its area.   x=y 4 ,y = √(2 - x)   ,y = 0

A: x=y4,  y=2-x,  y=0. The graph is,

Q: = 0, y = x, and x = 5. n, the region D expressed as type I is: = {(x, y)|0 ≤ y ≤ x,0 ≤ x ≤ 5} ect…

A:

Q: Sketch the region enclosed by the given curves andfind its area.   y= 1/4 x2 , y = 2x2 , x + y = 3…

A: Given:                              y=14x2,y=2x2x+y=3;x≥0   Sketching the region and the curves:…

Q: Calculate the area of the region bounded by r +y = 4, x +y = 8, x = 0, and I = 5.

A: We use the formula to find area enclosed between two curves.

Q: Sketch the region enclosed by the given curves andfind its area.       y =|x|     , y =  x2 -2

A: Definition used -      Area between two curves -       If two curves f(x) and g(x) are…

Q: Find the area.of.. the region. R bounded by the graphs of gien equations 2. 4.= X +2 draw.and.…

A: As we know the area bounded by curves can be calculated using the definite integral, as we will…

Q: 23. y = 2x, y =}r

A:

Q: 3 = 2y and a – 15 = (y – 6)², and compute its area. Sketch the region enclosed by the curves – A =

A:

Q: Sketch the region enclosed by the given curves. y = 4/x, y = 16x, y =x, x>0 16 y y 10| 10- 8 6. 2 4…

A:

Q: Sketch the region. s= {(x, y)\x 2 -2, 0sys se2 y 14 12 600 10 8 400 4 200 O-2 4 6 8 10 2 4 8 10 y y…

A: Given information: The area is bounded by the region S=x,y|x≥2,0≤y≤5e-x2. Graph: Draw the graph of…

Q: Find the area bounded by x = y + 2, x = 1 - y^2, and the lines y = 1 and y = −1. *

A:

Q: y = xvx' +1, y= e"x=-3 and y – axis. -1/2. X

A:

Q: Sketch the region enclosed by the given curves and find its area. y = x², y = x*

A: By using area between the curve formula, we calculate the required area.

Q: Sketch the region enclosed by the given curves. 1 у %3 2/х, у 3 8х, у %3D —х, 2 x > 0 y 5 4

A:

Q: 9:(a): Find the area boundedby the curve y =-x, the line y = x, and the line y = 2.

A:

Q: 4. Sketch the region enclosed by the curves y |x| and y = x2-2. Compute the area bounded by the…

A:

Q: Sketch the region bounded by the given curves, then find its area. y = x2 - 3x, y = x

A: