Find the exact area, in fractional form, under the curve y = 4x³ over the interval [0, 5].

Q: suppose A is a positive real number, determine the area of the traingle enclosed by the lines x=0,…

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Q: Calculate the finite area between the curve y = 3x (-x + 1) and the curve y = -3x. These two curves…

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Q: Find the area of the region between the curves y=x²-1 and y=-6x²- +6 from x= -1 to x = 1. The area…

A: Area between two curves y=f(x) and y=g(x) from a to b is A=∫abfx-gxdx where fx≥gx ona,b We are given…

Q: f(x) = 4x² + 5x + 5; [-3, 3]

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Q: Find the area included between x + y* = 4x and y = = x above x-axis.

A: Consider fx and gx be two functions between a,b and fx≥gx .Then area between graph of these two…

Q: Let f(x) = 8 + 2x2. (a) Estimate the area under the graph of f, the x-axis, and the lines x = −1 and…

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Q: Find the area under the curve y=f(x) = 4x-4x² on the interval [0, 1]. Enter your answer as a…

A: Given query is to find the area under the curve.

Q: Find the area under the curve 2x+3y-6%3D0 from x+63D0 to x-19%3D0

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Q: (8) Suppose m > 0. Find the coordinates of the points (in terms of m) where y = mx in- tersects y =…

A: Here we have to find the area.

Q: Find the area bounded by y = (11 – x)7, the lines 3x=2, x=10, and the x-axis

A: We have to find the area bounded by the curves.

Q: Find the area between the curve y=(x-2)(x+3)(4-x) and the x-axis from x = -1 to x = 3.

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Q: Find the area bounded by the curve f(x) = -x² + 10 and the x-axis. Give your answer correct to two…

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Q: Find the area between the curves. y = x5 - 2 ln (x + 5), y = x3 - 2 ln (x + 5)

A: Given: y=x5-2lnx+5y=x3-2lnx+5