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Compactness.
Suppose K is compact set. Prove that K is of content zero if and only if is of measure zero. Give a counter example if the compactness assumption is dropped.
Area of region using definite integrals
Find the area under the curve y= x^2 and find the area under the curve y = x^3 over the interval [0,1]
Integration by parts method - How much longer would the worm be at t = 2, if it always grew at the maximum rate? Use Integration by parts.
To make a conjecture about the tangent lines and the graph with the proof of the conjecture - Find the distance between the functions is greatest, and prove your conjecture.
Application of calculus
Prove using mathematical induction.
Find the price of the material
Differentiable function on the interval.
Simplify the logarithmic expressions by using logarithmic properties - Simplify the provided logarithmic expressions
You have to perform a reliability analysis of the downtime data.
Calculate the free end deflection caused by the load using general expression for the internal Elastic Strain Energy.
Determine the circumference of a circle circumscribed about a square, an equilateral triangle, a regular hexagon, a right triangle
Find whether the given function is linear function or not - For each of the relationships below, explain whether you think it is best described by a linear function or a non-linear function.
Finding the possible length using the law of cosine.
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