Write and evaluate the definite integral that represents the area of the surface generated by revolving the curve about the x-axis. y = 2√x 2T (C 4 2 -2 -4 i y y= 2√x 4 68 dx =

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

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Q: Evaluate ∫ C ( 2 + x^2 y ) d s , where C is the upper half of the unit circle.

A: We have to evaluate the line integral: ∫C2+x2yds where C is the upper half of the unit circle.

Q: XYZ is an isosceles triangle with base YZ. YZ=5cm; Height of triangle=10cm. A square is put into t

A: Solution of the problem as follows

Q: Determine the area of the surface obtained by rotating the curve. y=[(x4)/16] + [1/(2x2)] ;…

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Q: Find the function f(x) described by the given initial value problem. f"(x) = 3 sin x, f'æ) = 3, f(1)…

A: The objective is to find f(x), find the area of the region encloses by the parabola and the x-axis.

Q: Find the larger area formed by x² + 3y² + 7x = 3 and 2x² – 6y = 5.

A: Integration of function expression under certain limits give the value of area between function…

Q: Find the radius of gyration of a plate covering the region bounded by y=3x, x=2, and the x-axis with…

A: Given: y=3x3   x=2

Q: Write an equation that represents the area of the cross section obtained when a horizontal plane…

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Q: Calculate (4x² + Se) dy, where C is the triangle of vertices (0,0), (2,0) and (2,2). [(4x²+ Note:…

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Q: Use the substitution u = x² and the equation of a semicircle to evaluate 4XV4 - x* dx.

A: Given the integral  I =∫024x 4-x4dx To evaluate the integral :- Using the substitution,  u = x2  du…

Q: The shape of a dragonfly wing can be roughly modeled by the shape between the curves y = √x and…

A: see the graph of the functions

Q: Find the equation of the line through P = (13, 12) such that the triangle bounded by this line and…

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