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

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A: Given: The given curve is, The x-axis and the vertical line passing through the maximum coordinate.…

Q: Find the area bounded by the curve y = - -x³x²+3x and the line y=x. 16 4 (A) 10 square units B 8…

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Q: Find the area bounded by the parabola y^2=4x and the line 2x-4. (with graph)

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

A: See below

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Q: Find the area bounded by the curve y = 4x over the square root of (1 - 2x) and lines y = 0, x = -4…

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

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Q: Find the area bounded by the curve y2 = 4x and the line 2x + y = 4 and provide a correct and…

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

A: Given,

Q: Find the area between the curves: y = x³ – 10x? + 16x - x³ + 10x² – 16x 3 and y = -x° + 10x?

A: Consider the figure given below :

Q: Find the total area of the shaded region (area constrained by curves) y = -2r4 -2

A: The area of the shaded region is given by  ∫abf(x)-g(x)dx Where a and b are limits of x f(x) and…

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: b) Find the area between the 2 curves f(x)=x²+4-4x and x-axes and border with the two lines = 5 &x=…

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Q: The area bounded by the curve y = 6x and the lines x = 9 ,x = 11 and x %3| axis is - O 486 square…

A: Consider the curves, y=6x,  x=9,  x=11   and   x-axis To draw the bounded region:

Q: . Find the area of the region bounded by the curves y = 2x? - 8x + 12 and y = -2x+ 12.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the area of the region bounded by y=2x2-3x+2 the x axis and the vertical lines x=0 and x=2

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Q: The area of the region bounded by the curve y= e", the x-axis,'the y-axis, and the line x 2 is equal…

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Q: What is the area of the region bounded by the parabola y^2 = 2x and the line x-y-4 = 0? *

A: See the details solution in below

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

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Q: Find the area bounded by the curve 16 square units 10 square units 8 square units 4 square units 16…

A: The region is bounded by y=116x3-34x2+3x and the line y=x.

Q: Calculate the area between the curves y = 7- 2x2, y = x2 + 4, and the x-axis.

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

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

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Q: Find the area of the surface formed by revolving g(x) = x^3 on the interval [0, 1] about the x-axis.…

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Q: Find the area between the curves: y=x^3-11x^2+18x and y = -x^3+11x^2-18x

A: y=x3-11x2+18x and y=-x3+11x2-18xTo find the area between the curves:

Q: Find the area between the curves y = x2 - 8 and y = 4 - x.

A: Explanation of the answer is as follows

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: Find the area between the curves x=63-7y^2 and x=7y^2-63

A: Here two curves are given and we need to find the area between them. The curve equations are shown…

Q: Find area of the region under the curve y = 5x - 4 and above the x-axis, for 3 < x < 5.

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Q: Find the area of the region bounded by y = x² - 5x + 6, the x axis, and the vertical lines x = 0 and…

A: Given that y = x2 - 5x + 6 ; y = 0 (x - axis) ; x = 0; x= 4  We have to find the area of the region…

Q: How many square units is the area of the region bounded by the two curves y = x^2 - 4x and y = x^3 -…

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Q: Find the area enclosed by the curves x = -2, x = 3, y = 3x2 - 70, and y = 12x + 26.

A: Consider the area enclosed by the curves x = -2, x = 3, y = 3x2 - 70, and y = 12x + 26.

Q: Find the number b such that the line y = b divides the region bounded by the graphs of y = 9x2 and y…

A: To find the number y=b that divides the region bounded by the graphs of y=9x² and y=16 into two…

Q: Find the area of the region lying between the æ- In(9x) – 1 axis and the curve y = to the right x2…

A: Solving by area formula

Q: Find the area of the region bounded by the  graph y=2x2-3x+2 the x axis and the vertical lines x=0…

A:

Q: Find the area of the region between the curve y = 2x/(1 + x2) and the interval -2&lt;= x &lt;=2 of…

A: Find the area bounded by curves

Q: Find the area between the curve y = sec (4x) and the line joining the points (-,2) and (. 2).

A: Consider the given information: To find the area between the curve and the line joining the points.

Q: Find the area between the curves x2 and 6x – 5

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Q: Find the area of the region bounded by y=2x2-3x+2 the x-axis and the vertical lines x=0 and  x=2

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Q: Calculate the area described by the equation y= -6x² +24x + 10, bounded by the lines x = 0 and x =…

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Q: Find the area of the region bounded by y=2x2 -3x+2 the x axis and the vertical lines x=0 and x=2

A: Given that a equation y(x) and we find area bounded by x=0 ,  x= 2  . Here i attached solution of…

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: Find area of the region under the curve y=8−3x^2 and above the x-axis

A: First we find where y=8−3x2 cuts x axis. We set y=0 and solve for x

Q: Find the area of the region in the first quadrant bounded by the line y=3​x, the line x=4​, the…

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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: Find the area of a triangle bounded by the y axis, the line f(x) = 9 -x, and the line perpendicular…

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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.