3. Find the area of the region bounded the curve f (x) = x² line y = x + 2. Show your complete %3D and the straight solution. . 4. Find the area of the region bounded and Y = 2x – 6 and the axis. Show your complete solution.

Q: The area bounded by the curve y 4x and the lines r = 6 ,x = 10 and a axis is

A: As per guildlines we can solve one question at a time. If you want answer of all please ask them…

Q: Find the area of the region in the first quadrant bounded by the curve y = √x² + 5, the x-axis and…

A: Given: y=x2+5 Graph of the functions given are

Q: Find the area of the region in the first quadrant bounded by the curve y = √√x² + 5, the x-axis and…

A:

Q: : Find the area of the region in the first quadrant that is bounded above by y x and below by the…

A: SOLUTION-

Q: Find the area of the region bounded by the curves, x = -6, x = 6, the x-axis and the parabola x² +…

A: Graph:

Q: Find the area of the region bounded by the curves, y = -6, y = 6, the y – axis and the parabola y² –…

A:

Q: Find the area of the region between the line y = 2x and the curve y = x²+ x – 2

A: y=2x --------(1) y=x2+x-2 -------(2) For points of intersection…

Q: Find the area bounded by the curve x^2 + 4y - 8 = 0, the x - axis, and the lines x = 3 and = 5

A:

Q: Find the area of the region in the first quadrant that is bounded above by y = √x and below by the…

A: Now the diagrammatic representation of the area is,

Q: 2. Find the area of the region enclosed by the parabola y = 2x² and the line y = -x-1

A:

Q: Q4/ Find the area of the region enclosed by the curves 4x² + y = 4 and x* - y = 1.

A: Consider  the curves  4x2+y=4x4−y=1

Q: 9. Find in two ways the area bounded by the parabola y = x², the y-axis, and the lines y = 1, y= 4.

A: Given,  The parabola y = x2  We have to find the area bounded by the parabola, y-axis and the lines…

Q: Find the area of the region in the first quadrant bounded on the left by the​ y-axis, below by the…

A:

Q: Find the exact area of the region that lies beneath the curve y 4x-4, 1 < x < 6.

A: The exact area under the region of the curve is=∫164x-4dxWe know that…

Q: Find the area in the first quadrant bounded by the cubic 3x - x^3 and the lines x = 0 and y = 2.

A:

Q: Find the area contained between the two curves y = 3x - 2² and y=x+x².

A:

Q: Find the area of the region(s) enclosed by the curve y= |2x-6|, the x-axis, and the lines x =0 and x…

A:

Q: Find the area of the region bounded by the curves, x = -6, x = 6, the x- axis and the parabola x? -…

A:

Q: Find the area of the region cut from the first quadrant by the curve x1/2 + y1/2 = a1/2.

A:

Q: B- Find the area between the curve (y-√x - 2) and the lines (y-4-x),(y=0).

A: We have given three curves-y=x-2y=4-xy=0 First we will find intersection of first two curves…

Q: Find the area bounded by the curve 5y2 = 16x and the curve y2 = 8x − 24 and provide a correct and…

A:

Q: Find the area between the curve y = x3 – 6x2 + 8x and the x-axis.

A: We have to find the area between the curve y=x3-6x2+8x and the x-axis.

Q: Q2/ Find the area of the region in the first quadrant bounded on the left by the y-axis, below by…

A: The total area of the bounded region in the first quadrant is 2.5 units.

Q: Find the area of the region enclosed between the curves defined by the equations y = x² – 2x + 2 and…

A: Solve the following

Q: 6. Find the area of the region in the first quadrant bounded on the left by the y- axis, below by…

A:

Q: Q4\A: Find area of zone bounded by curves y = x² y = 2x+8

A: The given curves are: y=x2, y=2x+8 Find the area of zone bounded.

Q: Find the area of the region in the first quadrant bounded above by the curve y = 2√x and below by…

A:

Q: 2 Find the area of the region bounded by the curve y2 =4x and the lines x = 1 and x = 4. A. 24…

A: Given y2=4x X=1 and x=4

Q: y = e²x and x - 2y + 5 = 0

A:

Q: Q3/ Find the area of zone bounded by curves: y= x? y= 3x+8

A:

Q: A\ Calculate the area of the segment cut from the curve y =2x2 by the line y = x+1 with x2 0.

A:

Q: 5 m 4m 4 m 3 m 3 m Find the area of the region bounded by the graphs of y2 = 4x and the line 2x - y…

A:

Q: Find the area of the region between the line y = 2x and the curve y = x2 + x − 2

A:

Q: Find area of the region under the curve y = 3x³ – 5 and above the xt-axis, for 2 < x < 5. area =

A: Graph of the equation:

Q: Find the total area of the region between the curve and the x-axis. 7) y = 2x - x2; 0 sx<2

A: Given, The curve  y = 2x-x2   ;  0≤x≤2 We have to find the area of region between the curve and the…

Q: Find the area of the region bounded by the curves, y = -6, y = 6,the y – axis and the parabola y² –…

A:

Q: Find the area enclosed between the x-axis, the curve y= (x-15)(7-x)(x+12) and the lines x=-12 and…

A: We have to find the area enclosed between the x-axis, the curve y=(x-15)(7-x)(x+12) and the lines…

Q: Find the area bounded by the parabola y2= 4x, the x – axis and the lines x=1 and x=3.

A:

Q: Find the equation of a horizontal line that equally cuts the area bounded by the curves 2y=x^2 and…

A:

Q: Find the area of the region between the x-axis and the curve .3 y = x³- 4x - 2 < x<2 ?

A: Let us first plot the graph of y=x3-4x, -2≤x≤2.

Q: d. y=r find the total area of region between the curve d. y=x-4x3; - 4x; -25x52

A:

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: 5. I Find the area of the region enclosed by the curves y = 3x³ - x²-10x and y=2x-x². (x ≥ 0) (a)…

A:

Q: Find the area of the region between the curve y = √2x — 1 and the lines x = 1 and x = 5.

A: Given: The region between curve y=2x-1 and lines x=1 and x=5

Q: 3. Find the area of the region bounded by the curve y = Vx – 1, the y - axis and the lines y=1 and…

A: Simplify the equation y=x-1 to obtain the expression of x. y=x-1y2=x-1x=y2+1 Draw the graphs…

Q: Find the area between the curves: y = x3 – 12x? + 20x and y = -a3 + 12x2 – 20x

A: Solution )

Q: Determine the area between the curves x 2 y2 and x + 15 y = 8. -2 -4 -6 -8 -10 -50 50 100 150 200…

A: This question is based on application of integration.

Q: Find the area of the region bounded by the curves, y = -6, y = 6 , the y – axis and the parabola y2…

A: