Find the area of a triangle bounded by the y axis, the line f(x)=8−1/3x, and the line perpendicular to f(x) that passes through the origin. Area =

Q: Find the area bounded by the curve y = x exp(-x²), the x-axis and the vertical line passing through…

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

A: SOLUTION-

Q: Estimate the area of the curve y = 2x + x - 3 from x = 1 to x = 3 by using 5 rectangles and right…

A: We have the lower limit, a = 1, and the upper limit, b = 3.  We are using five rectangles, that is n…

Q: Determine the area below y = 3 + 2x - x² and above the x-axis

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Q: Find the area bounded by the parabola x = 8+2y-y², the y-axis, and the lines y = -1 and y = 3.

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Q: Find the area between the curve y=4x-x² and the x-axis

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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: Find the area bounded by the curve a^2y = x^3, the x-axis and the line x = 2a

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Q: The total area bounded by the graph of y = r- 1 and the x-axis is represented by 2.

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Q: the area bounded by the curves y=2-x2 and y=x2 is

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Q: Determine the area enclosed by the curve y=5x2+2, thex-axis and the ordinates x=0 and x=3. Find also…

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Q: Find the area between the curve y (2.x + 3)2 and the x-axis, from x = -2 to x = 3.

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Q: FIND THE AREA OF THE REGION IN THE FIRST QUADRANT THAT IS BOUNDED ABOVE BY y=sqrt(x) AND BELOW BY…

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Q: Find the area of the specified region. (Do not count area below the x-axis as negative.) the area…

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Q: Find the area between the curves. x= - 2, x = 2, y =7x, y=x² - 8 The area between the curves is

A: Given,           x = -2,  x = 2,  y = 7x  and  y = x2 - 8

Q: The area bounded by the curve y2=12x and the line x=3 is revolved about the line x=3. What is the…

A: The correct answer is option C. Given  y2=12x and equation of line x=3 The point at which the line…

Q: Find the area between two curves f(x) = x² + 3x and g(x) = 6x.

A: The region bounded between the curves fx=x2+3x and gx=6x

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: Find the area bounded by the graphs of the indicated equations over the given interval. y=x2 - 21; y…

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Q: Find the area between f(x)=x²-12 and the x-axis from x = 0 and x = 2. The area is square units. ...

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Q: Find the area bounded by the circle x² + y² = 25, the x-axis and the parabola x² - 2x = y.

A: Equation of Circle is x2+y2=25  Centre of Circle = (0,0) Radius of Circle = 5 unit Equation of…

Q: Find the area in square units, bounded by g(x)=-7x+1 and f(x)=x^2+7x+41 over the interval [-10,-4].…

A: to find the area we use the formula  ∫abg(x)-f(x)dx

Q: Find the area bounded by the curve y = 1x³ - 2x² + 3x and the line x3_ 16 16 square units 10 square…

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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 of the specified region. (Do not count area below the x-axis as negative.) the area…

A: The area is bounded by the curves:y=25-x2 ; x axis ; x=-5 and x=5

Q: Find the area lying between the parabola y=4x - x^2 and the line y = x.

A: The given curves are y=4x-x2 and y=x. To find the area between the curves we will firstly plot these…

Q: The total area bounded by the graph of y = 5 - x, the line a x = 0 and the x-axis

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Q: Find the area bounded by the given curves. y = x2 − 1 and y = 8 − 8x2        square units

A: Given :

Q: Find the area of the region bounded by the graph of the function f and the lines y = 0, x = -3, and…

A: Given:        f(x)=x2−2x

Q: Example: Find the area of the region in the first quadrant that is bounded above by Y1 =Vx and below…

A: The graph is shown below:

Q: Solve the area bounded by y³+10 = x², the lines y=-2 and y=2 *

A: Here is the solution of the given problem.  To evaluate the integration we use there WOLFRAM ALPHA.

Q: . Find the area bounded by y = (11 – x), the lines 3x=2, x=10, and the x-axis.

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Q: Find the area bounded by the graphs of the indicated equations over the given interval. y =x - 19; y…

A: First I have written a short note about area between two curves , just use them for the given curve…

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 enclosed by the line y = x -1 and the parabola y² = 2.x + 6.

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Q: The area bounded by the parabola x² = 2y, and the line x - y = -4 is 18 square units. %3D

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Q: Find the area of the region in the first quadrant bounded by the line y=5​x, the line x=5​, the…

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Q: Q3/ Find the area of the region in the first quadrant that is bounded above by y = with respect to…

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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 bounded by the curve y=-x³x² + 3x and the line y=x. 16 A 8 square units B 16 square…

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Q: Find the area bounded by the given curves. y = 4x3 + 5 and y = 4x + 5        square units

A: We first sketch the area using a graphing calculator  There are two areas. They are symmetric. So…

Q: Find the area bounded by the graphs of the indicated equations over the given interval. y=x2-16; y=…

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Q: Find the net area and the area of the region bounded by the function y=5-|x| and the x-axis between…

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Q: Find the area R- region in the first quadrant that lies below the curve y=x^2+4 and is bounded by…

A: The given problem is to find the area of region R bounded below by the given curve and the line.…

Q: Using vertical element, find the area bounded by the curve y2 = 8(x − 4), the line y = 4, y-axis,…

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Q: Find the area (sq. units) covered by the line y = -Gx+ 3) from x1 = -8 to x2 = 0.

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Q: Find the area between f(x)=x²-12 and the x-axis from x = 0 and x = 3. The area is square units.

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Q: The number a such that the line X = a bisects the area bounded by the curve y=– and the lines y=0, x…

A: Given data:   The equation for the first line is x=1. The equation for the second line is y=0. The…

Q: Find area bounded by the circle x² + y² = 25, the y-axis and the parabola y = 6x - x².

A: Circle: x2+y2=25 Parabola: y=6x-x2 To Find: Area bounded by the circle, the y axis and the parabola…