Find the areas enclosed by the following curves: (b) y = x4 – 4x² + 4_and y = x² y = x? 57 3- y = x* - 4x2 + 4 2- 1- -2 -1

Q: Find the area bounded by the curve y=4x-x² and the lines x=-2 and y=4.

A: See below

Q: Find the number b such that the line y = b divides the region bounded by the curves y = 16x2 and y =…

A: It is given that, y=16x2y=9   Area under the bounded region can be calculated by using,…

Q: Find the area between the curves.

A: First sketch the region bounded by the curves x=1,  x=6,  y=1x  and  y=12 as shown below.

Q: Find the area of the region bounded by the curve y = x2 + 3x + 2, x = 0, x = 2, and x axis

A: Solution

Q: Estimate the area between the curve y = x^2 - 2x + 5 and the x-axis between x = 0 and x = 3 using 6…

A: Given, y=x2-2x+5 Here, a=0, b=3 and n=6 Therefore, ∆x=b-an3-06=12=0.5 Therefore the intervals are,…

Q: What is the area bounded by the curve x² = -9y and the line y + 1 = 0?

A: Given curve is x2=-9y Line is y+1=0 We need to find the area bounded by the curve

Q: Find the area of the region bounded by the curve y = x^3 + 3x and the lines x = −2, x = 2 and the…

A: Topic = Application of integration

Q: Find the area between the curve y = 4 – x² and the line y = -x + 2.

A:

Q: Determine the area bounded by the curves x^3 - y = 0 and y + 3x^2 - 4 = 0 using a vertical element

A: The area is bounded by the given curves x3-y=0 and y+3x2-4=0. The main objective is to determine the…

Q: Determine the area bounded by the curves y = -x – 18x + 40 and y = (x - 2)2

A: The x coordinates for the points of intersection of the curves are given by:…

Q: Find the area bounded by the curve y=x^2 − 4, the lines y = 0 and x = 4

A: The graph is shown below:

Q: Find the area of the region bounded by the curve y = 9 - x2 and the x-axis.

A:

Q: Determine the area of the triangle bounded by the coordinate axes and the tangent to x² - y = 0 at x…

A:

Q: What is the area of the region enclosed by the curve y=x^2 and the lines y=x+6, x=0 and x=5?

A:

Q: Find the number 6 such that the line y = 6 divides the region bounded by the curves y = x2 and y =…

A:

Q: Find the area of region bounded by the curve y=x²-2x and y=-x²+4

A:

Q: Find the area of the surface formed by revolving the graph y=x on the interval [0,3] about x-axis.

A:

Q: y = 4 – x2 y = 4 – 4x - -5-

A: Definition used -             The area between two curves f(x) and g(x) -…

Q: What is the area bounded by the curves x = 1/y, 2x - y = 0, x = 6, and the x-axis?

A:

Q: What is the area bounded by the curve y = x3 and x = -2 and x = 1? What is the area bounded by the…

A: we have to find area

Q: Find the area of teh region bounded by y=5x/x2+2, x=1, x=5, y=0. Sketch the graph

A: We graph the region using a graphing calculator.

Q: Find the area between the curves. x = -2, x = 1, y = 2x2 + 5, y = 0

A: Given, x=-2,x=1,y=2x2+5,y=0

Q: problem in photo attached

A: Given,

Q: Find the area between the curves -4x + y = 16 and -2x2 = -y+ 10.

A:

Q: Find the area between the curves. x = -5, x=2, y = 3x, y = x² - 4

A:

Q: The area of the region bounded by the curve y= x3−3x2−x+3 and y=0 is

A:

Q: Find the area of region enclosed by the curves. Hint: using integration y=lx²-4l and y=(x²/9)+4

A: The area under the curve: - Three easy procedures are often accustomed to figure the realm…

Q: Find the area between the curve y = 9 − (x/2)^2 and the line y = 6 − x.

A:

Q: Sketch the region enclosed by the curves. x + y = 3, y + 3x = 3, x - y = 0 f(x) = + 10- -8-

A: Drawing the given line.

Q: Sketch the region enclosed by the given curves and find its area. x = y4,  y = square root of (2 -…

A: We first sketch the region using a graphing calculator

Q: Find the enclosed area by the curve with equation y=x^2-9 and x-axis in the region[-1,2]

A:

Q: $ find the area of region in the first quadrant bounded on the left by the y-axis, below by curve x…

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

Q: The area of the region bounded by x = /9-y', the y-axis and the line x-y in the first quadrant is:

A:

Q: The area bounded by the curve y = 6x and the lines x = 7,x = 11 and x – axis ахis is

A: → y = mx is the equation of straight line passing through origin with slope m.→ Area of triangle =…

Q: Calculate the area between the curves x = 1– y² by the line x = y² – 1.

A:

Q: Find the area between the curves. x = - 2 , x = 1 , y = 3x , y = x 2 - 4.

A:

Q: find the area between the two curvesx=2-y^2x=y^4

A: Given thatx = 2-y2         ...(1)x = y4            ...(2)

Q: What is the area (in square units) of the region bounded by the graphs of y=x+2, and the x axis from…

A:

Q: Find the area b0 und by Curves the y3= X-3

A: The region is bounded by y=9x2-36, y=0, x=1 and x=3

Q: Find the area of the region bounded by the parabola y = -x² + 4x - 3 and | its tangent lines at the…

A: We have to find the area of the region.

Q: What is the area of ​​the enclosed region between the curves y = x2 and y = 2x - x2 ?

A: We have, the equation of given curves as y=x2                   ⋯⋯1y=2x-x2          ⋯⋯2 On…

Q: Determine the enclosed area by the curve 9x² + 25y² - 225 = 0

A:

Q: Find the area between the curves. 3x 3x x-0, x-D4, y3D2e" y-e

A:

Q: Determine the area bounded by the curve y = x2 - 3x -6 and lines y =-4-x,x = 0 and x = -2.

A:

Q: Find the area of the region bounded by a curve y = x^2-3 and y =5-x^2

A: Consider the provided curve, y=x2-3  and y=5-x2 Find the area of the region bounded by a curve.…

Q: Find the area of the region bounded by the line y = 2x – 5 and the parabola y = x² – 4x. - -

A: Graph of enclosed region -

Q: Find the areas of the regions enclosed by the curves and lines x = 4 - y2, x = 0

A: The area of the regions enclosed by the given curve x=4-y2 and the line x=0 is shown in the figure…

Q: Sketch the region bounded by the line y -axis. = 2 and the graph of y = sec2 x for −π2 < x <…

A:

Q: Find the area of the region bounded by the curve y=1--x2 and the x-axis. 9

A:

Q: The region is bounded by the curve y = 4x – x², y = 4 and the y-axis.

A: