. Differential and integral calculus. = 300, 0 = 1500. 6 = 2700. r = — a, a minimum value, when # = —30°, 0 = —1500, 0=-27O°. As 6 increases from o° to 300, r increases from o to a\ as 6increases from 300 to 6o°, r decreases from a too; hence, thecurve has a loop in the first angle. As 6 increases from 6o° to 90°, r decreases from o to — a; asd increases from 900 to 1200, r increases from — a to o ; hence, 224 Differential Calculus the curve has a similar loop to the first, situated partially in thethird angle and partially in the fourth angle. As 0 increases from 1200 to 1500, r increases fro
. Differential and integral calculus. = 300, 0 = 1500. 6 = 2700. r = — a, a minimum value, when # = —30°, 0 = —1500, 0=-27O°. As 6 increases from o° to 300, r increases from o to a\ as 6increases from 300 to 6o°, r decreases from a too; hence, thecurve has a loop in the first angle. As 6 increases from 6o° to 90°, r decreases from o to — a; asd increases from 900 to 1200, r increases from — a to o ; hence, 224 Differential Calculus the curve has a similar loop to the first, situated partially in thethird angle and partially in the fourth angle. As 0 increases from 1200 to 1500, r increases from o to a; as0 increases from 1500 to 1800, r diminishes from # to o; hence,there is a loop in the second angle. As 0 increases from 1800 to 3600, the corresponding values ofr are the same in magnitude and direction as those alreadyindicated. dr Here, ^ = 3cos3 dr Since ^ — 3 a cos 3^ = 0 when $ = 300, 0 — 1500, 6 = 2700 follows that r is a maximum for these values of 0,already ascertained from the equation. a fact. Fig. 46. 2. r = a sin 2 0.
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectcalculu, bookyear1918
