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Find the Taylor's formula for estimation of cosine function.
Use Tayor'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 nearest distance between two tunnels using cosine rule. In a mine, two tunnels are dug starting at the same point.
Root test for convergence of geometric series and evaluate the interval of convergence of a power series.
Find the distance.
Find the distance of the ship from the lighthouse.
The marginal cost function
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.
Evaluate the average value and RMS value of the given function - Find the average value of the function i = 15(1-e (-1/2)t ) from t = 0 to t= 4.
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.
Four congruent quarters circle are drawn inside square of side length four centimeters f ind the shaded area
Estimate all the stationary points
Application of calculus
The slope of the tangent line.
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