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Calculus - Sequences and series, tests of convergence.
Use the root test to show that a geometric series converges only if its ration has absolute value less than 1, or its initial term is 0.
Use Taylor's formula for f(x) = cos x.
= - (x- x/2) + 1/3! (x - x/2)3 - 1/5! (x- x/2)5 + ..............
To estimate cos 800 with an error less than 0.0001.
Evaluate the Area of under one arch of a cycloid using its integration
Finding the maximum speed using first derivative test - Find the speed will maximize the flow rate on the road?
Convergence and Divergence: find an infinite series of the given absolute function by using the fact give also estimate natural log of values by substitution
Evaluate the area of the rectangle - Write a polynomial that represents the area.
Find the derivative using logarithmic differentiation
Find the derivative of the given function by using chain rule of differentiation.
Differentiable function on the interval.
Solve the average cost function.
problem on percetanges
What route will take the least amount of time?
Finding the difference of the side lengths of a triangle - Find the smallest possible value of BC - AB?
Estimate rate of changes.
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