. Differential and integral calculus, an introductory course for colleges and engineering schools. .,/:„{ + J 15 s-3 4 yfcZ% is imaginary for all values (values ^ 4), when y is j _ j, 2/ is and the arc is J concave\ • In other words, the 1 1J2L. J branch of the curve is every- where The two branches are U,0)l convexconcaveunited at (4, 0) and the axis of x is tangentto each at that point. Because, further,neither branch can extend to the left of (—4, 0), this point is a Art. 57, end. (c) Although y can change sign at x = 1, y is imaginary for this and forneighboring values of x, and c

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. Differential and integral calculus, an introductory course for colleges and engineering schools. .,/:„{ + J 15 s-3 4 yfcZ% is imaginary for all values (values ^ 4), when y is j _ j, 2/ is and the arc is J concave\ • In other words, the 1 1J2L. J branch of the curve is every- where The two branches are U,0)l convexconcaveunited at (4, 0) and the axis of x is tangentto each at that point. Because, further,neither branch can extend to the left of (—4, 0), this point is a Art. 57, end. (c) Although y can change sign at x = 1, y is imaginary for this and forneighboring values of x, and consequently there are no maximum or mini-mum points. In the figure A is the isolated point and B is the cusp. 87. Exercises. Draw the following curves. Each of the firstfour curves has an isolated point. (The figures stand above theirequations.) y2= x2(x-3).y2= x2(x2-2), 3. y2 4. y* x2{2xx2(2x o 5. 9?/2. >

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Keywords: ., bookcentury1900, bookdecade1910, booksubjectcalculu, bookyear1912