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Calculus

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Q: An oil company bores a hole 80m deep. Estimate the cost of boring if the cost is £30 for drilling th...

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Q: Determine the curvature of the curve y=arctanx at x=0 and at infinity.

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Q: Evaluate the iterated integral by converting to polar coordinates. (2x – 8/ x2 + y2 dy dx 2x - x2

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Q: Find the equations of the tangent and normal lines to the graph of the natural logarithm function at...

A: Slope of the tangent line is the derivative of the given function at the given point. Now differenti...

Q: Investigate the one-sided limits graphically: (a) lim x→2# x – 2 (b) lim x→0± x2 (c) lim In x x→0+

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Q: Sketch the graph of the equation y = −3

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Q: Find the asymptotes of the functionf(x)=x+√x2−1.

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Q: write a formula for ƒ . g . h ƒ(x) = x + 1, g(x) = 3x, h(x) = 4 - x

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Q: Find the Taylor series of the cubic function x3 about x=3.

A: The taylor series of a function f(x) center at x=a is Given, the cubic function center x =3,