When using interval notation in WeBWorK, remember that: You use ‘INF’ for 88 and ‘-INF’…
When using interval notation in WeBWorK, remember that:
You use 'INF' for ∞∞ and '-INF' for −∞−∞.
And use 'U' for the union symbol.
Enter DNE if an answer does not exist. 𝑓(𝑥)=4sin𝑥+5cos𝑥,on(−𝜋,𝜋)f(x)=4sinx+5cosx,on(−π,π)
a) Determine the intervals on which 𝑓f is concave up and concave down.
𝑓 is concave up on:𝑓f is concave down on:
b) Based on your answer to part (a), determine the inflection points of 𝑓f. Each point should be entered as an ordered pair (that is, in the form (𝑥,𝑦)(x,y)).
(Separate multiple answers by commas.)
c) Find the critical numbers of 𝑓f and use the Second Derivative Test, when possible, to determine the relative extrema. List only the 𝑥x-coordinates.
Relative maxima at: (Separate multiple answers by commas.)
Relative minima at: (Separate multiple answers by commas.) Mar 30 2022 01:35 PM
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