Calculate the area of the segment cut from the curve y = x(3 – x) by the line y = x.

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 bounded by the parabola y = x 2  ,the tangent line to this parabola at…

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Q: Find the area of the segment cut off from the curve y = sin x, 0 ≤ x ≤ ¹ by the line y = 1/√2. 3r 4…

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Q: The area of the region bounded by the two curves y = x²and y 25 is Square Units

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Q: Find the area of the surface formed by revolving the graph of f (x) = x2 on the interval [0,√2]…

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Q: Find the area of the surface gener- ated when the given curve is revolved about the given axis. 1 y…

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Q: Find the area of the region bounded by the parabola y=5x^2, the tangent line to the parabola is at…

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Q: The area of the surface obtained by rotating the curve y = 1sxse about the line x = 42 is

A: Given that y= 1/x  + x3 /12 and find the surface area. Here i attached solution of this question.

Q: The area in the third quadrant bounded by the curve x = y^2 + 2y is

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Q: Find the area between the curve y=x^3 and its tangent through (1,1)

A: The slope of the tangent is given by y' at (x,y)=(1,1) y'=3x2At x=1y'=3 Equation of tangent line is…

Q: The area of the region bounded by the two curves y = x and y = 64 is Square Units

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Q: What is the area of the triangle bounded by the x and y axes and the tangent to the curve xy^2=4 at…

A: xy2=4 Differentiating with respect to x, we get…

Q: The area of the region bounded by the two curves y = x“ and y = 4 is

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Q: Find area between the curves y=17/(9+x^2) and y=13/(1+x^2)

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Q: Find the area between the curve  y = x2 + 3  and the line  y = 2x − 2  (shown below) from x = 0 to…

A: We first sketch the area using a graphing calculator

Q: Find the area of the surface gener- ated when the given curve is revolved about the given axis. y =…

A: Given Data The equation of a curve is y=8x. The interval is 9≤x≤20.   The expression for the area of…

Q: Find the area of the segment cut off from the curve y = sin x, 0≤x≤ n by the line y = 1/√2. H4 34 y…

A: Let's find area of segment.

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 of the infinite region in the first quadrant between the curve y = eX and the x-axis.

A: Given curve, y=e-xand x-axis Formula for the area of the region under a curve is given by A=∫aby dx

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

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Q: Find the area of the region bounded by the parabola y = x², the tangent line to this parabola at (1,…

A: Given data: The equation of the parabola is y=x2. The given point is (a, b)=(1, 1). The slope of the…

Q: Find the area of the surface gener- ated when the given curve is revolved about the given axis. x2…

A: Given curve is y=x242≤x≤4   Axis of rotation is y axis

Q: find the area between the curves y=sqrt(x) , y = 1x/2 , x = 25

A: Given:

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

A: The region bounded by the given curves in first quadrant. The curves can be used to find the limits…

Q: Find the area between the curve y = sin x and the line segment joining the points (0, 0) and (5π/6,…

A: Consider: y=sin x and line joining the points 0,0 and 5π6,12. Find the area between them.   First…

Q: Find the area between the curves y = x²(x – 3) and y² + 8y – 16x + 48 = 0 -

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Q: Find the total area of the region between the curves y = sinx and y = cosx for 2

A: We have to find area of the region between the curves y=sinx and y=cosx for 0≤x≤3π2

Q: Find the area of the surface oblalned by rotating tne curve y = V4x x = 0 to x = 3 about the x-axis.…

A: Below is the solution:-

Q: Find the area between the curve inclosed by the curve x = 2y^2 and the curve x = 4 + y^2

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Q: Find the area of the region bounded by the parabola y=x2 , the tangent line to this parabola at…

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Q: The area in the third quadrant bounded by the curve x = y^2+ 2y is

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Q: the

A: Given curve y^=x and y=√x  Line x-4=0   Find area ?

Q: Find the area of the region bounded by the parabola y = 2x2, the tangent line to the parabola at (3,…

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Q: Calculate the surface area if the curve y = 3sqrt(x) is rotated about the x-axis.

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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 in the second quadrant bounded by the curve y = x' +4x² – x – 4 and the x – axis.

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Q: Find the area of the surface obtained by rotating the curve y = 2x 223 from x = 0 to x 2 about the…

A: HERE THE LIMITS OF INTEGRATION IS 0 to 2.

Q: Find the area enclosed by the curve ax =y(2a– y).

A: This question is based on application of integration.

Q: Find the area of the surface gener- ated when the given curve is revolved about the given axis. y =…

A: Given: y=4x+6,  0,5

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: The area enclosed between the x-axis and the curve y=x2 between x=1 and x=2 is:

A:

Q: : Determine the area enclosed between the curves y = x² + 1 and y = 7 - x

A: Area between two curves y=f(x) and y=g(x) between x=a and x=b is A=∫abf(x)-g(x)dx

Q: Find a horizontal line y = k that divides the area between y = x² and y = 9 into two equal parts.

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Q: Find the area between the two curves y = 3 y = x² – 1 1+ x2'

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Q: Determine the radius of gyration of the area into the first quadrant bounded by the line y=0, x=3…

A: Solution:-

Q: find the area baunded by the curves linest ytAx-8 =0 and y=x

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Q: Find the area between the curve y = cos (2x) and the line joining the points (,0) and (등, 글).

A: Integrals and derivatives are considered as the inverses of each other. For example if we have a…

Q: The area of the region bounded by the two curves y = x² and y = 9 is Square Units

A: Draw the both curve than find their intersection points and integrate in that interval.