Q48.a) determine the area of the region enclosed between the curves x= and y=x-1? (Sketch the region)

Q: 9. y = x²; y = 8-x²; y = 4x +12 %3D

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Q: 2 ア=x,y=2r

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Q: 4. Find the area of the region bounded by the horizontal strip. y² +1 and the y-axis using

A: Topic = Area

Q: Compute I| (x – y) dA, D is the region in the second quadrant enclosed by x2 + y2 = 5 and x2 + y? =…

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Q: Evaluate , (2x + y²)dA over the region R in the first quadrant bounded by the axes and y? = 1-x. -1…

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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: 2/ determine the area of the region enclosed between the curves x= and y=x-1? ans/ 18 3/ Find the…

A: Given (2) The given curves are x=12y2-3 and =x-1. (3) The given curves are y=x3 and y=x.

Q: 3) Find the area of the region enclosed by the curves: y =x, and y = 2x – x

A: For the given curves  y = x2 and y = 2x-x2  Area of the region enclosed by the above curves are…

Q: 6.(. Find the area of the region enclosed by the curves y = x² +1 and y = x +3.

A: I am solving this in step 2

Q: :draw and determine the area enclosed between the curve y = 7-2x and + 4.

A: we can see easily from graph

Q: Sketch the region enclosed by the curves à - 5 = 4y and x − 21 = (y — 4)², and compute its area.

A: x-5=4y⇒x=4y+5     x-21=(y-4)2 ⇒x=(y-4)2+21 Area between the curves…

Q: O Find the area of the region that lies inside the first curve and outside the econd curve.

A: We have to find the area of the region that lies inside the curve r=-2sin(θ) and outside the curve…

Q: Find the area of the region enclosed y = 7e¯ 7 and x = 0.

A: In this question we will simply use the basics of calculus i.e application of integration. We will…

Q: Find the area of the region R enclosed by the parabola y = x2 and the line y = x + 2.

A: Given that y=x2          ...(1)y=x+2       ...(2)

Q: Sketch the region enclosed by the given curves and calculate its area. y= square root of x, y=0, x=4

A: Given,

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

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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 enclosed by the following curves: 1- y=x²-2 , y = 2

A: As per our guidelines we are suppose to solve one question, kindly repost the remainig question as…

Q: Sketch the region enclosed by the curves x = y² + 2 and x 6 and find its area.

A: Given curve

Q: Find the area of the region bounded by the following curves. y  =  x2 + 4x,     y  =  160 − x2

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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: Calculate the double interfral: yd A D where I is the region in the first quadrant banded the circle…

A: We need to evaluate the integral: ∬Dy dA, where D is the region in the first quadrant bounded by the…

Q: Find the area bounded by the given curves. v = 6x² – 16x – 7 and y = 3x2 + 2x – 22 | square units

A: Given curves are: y=6x2-16x-7y=3x2+2x-22

Q: 1. Determine the surface area generated by revolving the line segments about x axis. 2m 3m 1m 4m 3m…

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Q: Sketch and shade the region bounded by the graphs of X = y? +1 and x + 2y = 4 and find the area of…

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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: (1) Find the area of the region bounded by the curves and draw an illustration y = x² and y = 6x-x².

A: The region bounded by the curves y=x2 and y=6x-x2 Note:    Multiple questions are given we are…

Q: 2. Find the area of the region enclosed by æ + y? = 0 and ¤+3y² = 2.

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Q: Graph the region bounded by the curves and determine the area of the region. x = y? – 2y; x = 0

A: ANSWER :

Q: 10. y = x; y = x'; x+ y = 2

A: Function is the unique relation, where each x is mapped to unique y. It can be of many type,…

Q: Sketch the region enclosed by the curves x − 5 = 4y and x − 21 = (y – 4)², and compute its area. A

A: The given curves are; x-5=4y and x-21=y-42 Now find the point of intersection between the given…

Q: Find the area A of the portion of the region between the graphs of and y =| x + 2. that lies in the…

A: According to the given information, it is required to determine the area A of the portion of the…

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

A: Given problem is :

Q: Find the area enclosed by the closed curve obtained by joiningthe ends of the spiralr=5θ, 0 ≤ θ ≤…

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Q: The area enclosed between the curves x? = 4y and y? = 4x is

A: To find: The area enclosed between the curves x2=4y and y2=4x. Given information: The curve are…

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? O…

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Q: ind the area between the curves.   x = -2, x = 1, y = 2 x 2 + 4, y = 0

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Q: Is it possible to get the area between y2 = 3x and y = x3, using  a. vertical strips b. horizontal…

A: Given  The equations are y2=3x  and  y=x3 .     Formula :- Area under the curve  a) vertical strip…

Q: A sketch of the region enclosed by y = x and y = f Area of the region = fot 4.25 2²+1 follows.

A: Given: y=x and y=4.25xx2+1 First find the intersection point Thus, x= 4.25x1+x2 ⇒1+x2= 4.25⇒x=…

Q: Sketch the region enclosed by the given curves. y = /x, y =x, X = 25

A: The area of the region is calculated using the formula where a and b are the points where the 2…

Q: 2. Determine the area of the region bounded by x = y? – 4 and y = and sketch a graph of the region.

A: We graph the region using a graphing calculator  y=x/3 (red) x=y2-4 (black)

Q: Sketch the region bounded by the curves x – y = 2 and x + y? = 8, and then find the area of the…

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Q: What is the area of the region enclosed by the curves y = x³ and x = y? ? A) : D) E) 8 C) 15

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Q: 7) Find the area of the region enclusced by the curves y=x² and

A: Please refer the attached image for complete solution. THANK YOU !

Q: ? is the region bounded by y? = 2 – x and the lines y = x and | = -x – 4.

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Q: 2) Find the area of the region enclosed between the two curves y = x² and y = -x? + 4х.

A:

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

A: Given the curves is x=12y2-3 and y=x-1

Q: Find the areas of the regions enclosed by the following curves. (a) r= 1+2cosł

A: Given :r=1+2cosθ

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.