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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.
The Marginal profit function.
Find the general solution for given trigonometric equation on the given interval.
Factoring is the problem of computing, on input a positive integer n, a factorization of n in terms of prime powers
Differentiable function on the interval.
Conversion of angle measures from degrees to radians - Fill in the missing blanks by using the conversions between radians and degrees to find your solutions
Finding the accumulated value of compound interest.
The form of augmented matrices.
Dividing the given fraction and then check by multiplying - Simplify into a single polynomial
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.
What speed is the lamp's spot moving as it passes the point where it is perpendicular to shore? How fast is the spot moving along the shore when the spot is 1 km from the point at which it is perpendicular?
Satisfies the Cauchy-Riemann equations
Matrice operations solve the problem.
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