. Differential and integral calculus, an introductory course for colleges and engineering schools. = 0, 3jr 4 using a table of natural sines to calculate p. A better way is to use polar-coordinate paper and the methods explained in analytic geometry. Problem. Determine at the points where the curve of example 2 cutsOX and OY. Ans. Two of the values of are 85° 17 and 81° 44. 99. Exercises. Draw the following curves, calculating 4> forimportant points: 1. p = a sin figure shows but one loop; draw the others. Find the coor-dinates of the points where thetangents are parallel to the axis
. Differential and integral calculus, an introductory course for colleges and engineering schools. = 0, 3jr 4 using a table of natural sines to calculate p. A better way is to use polar-coordinate paper and the methods explained in analytic geometry. Problem. Determine at the points where the curve of example 2 cutsOX and OY. Ans. Two of the values of are 85° 17 and 81° 44. 99. Exercises. Draw the following curves, calculating 4> forimportant points: 1. p = a sin figure shows but one loop; draw the others. Find the coor-dinates of the points where thetangents are parallel to the axisof the loop, and thus find thegreatest width of the loop. Ans. to last, .544 a. 2. p = a sin2 width of each loop at widest part. Ans. .77 a. 3. p = asin^ curve has two double Ans. .544 points. Find width of each small loop. 138 DIFFERENTIAL CALCULUS 99
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