Questions with Complete Solutions - Hamro CSIT

Find the unit normal and binormal vectors for the circular helix:

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Find the Maclaurin series expansion of f ( x ) = sin ⁡ x for all x.

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Evaluate:

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Evaluate:

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Use cylindrical shells to find the volume of the solid obtained by rotating about the $x$ -axis the region under the curve $y = _/ x$ from 0 to 1.

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Find the area enclosed by the line and the parabola

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Find the solution of the initial value problem:

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A farmer has 1200 m of fencing and wants to fence off a rectangular field that borders a straight river. He does not need to fence along the river. What are the dimensions of the field that has the largest area?

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Where is the function f(x)=∣x∣ differentiable? Discuss.

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Sketch the graph of Find its domain and range.

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