. Differential and integral calculus, an introductory course for colleges and engineering schools. 14. p = atanf 0. 15. p = asin30. 16. p = 2 a cos 0 cos 20. This curve has three loops anda triple point. See exercise 24,Art. 91. 17. The Spiral of Archimedes: p = a line revolve about a fixed point with constant angular velocity,while a point, P, traverses the linewith constant velocity along the traces the curve. Prove this. In plotting the curve let a = -, that a is, plot the curve p = -. The curve has two branches, one for + valuesof 6 and one for — values. Howmany double points
. Differential and integral calculus, an introductory course for colleges and engineering schools. 14. p = atanf 0. 15. p = asin30. 16. p = 2 a cos 0 cos 20. This curve has three loops anda triple point. See exercise 24,Art. 91. 17. The Spiral of Archimedes: p = a line revolve about a fixed point with constant angular velocity,while a point, P, traverses the linewith constant velocity along the traces the curve. Prove this. In plotting the curve let a = -, that a is, plot the curve p = -. The curve has two branches, one for + valuesof 6 and one for — values. Howmany double points has it? 18. The Hyperbolic Spiral: P = -• 6 In plotting, use the equation p = -. 19. The Logarithmic or Equiangular Spiral: p = aeu. Show that tan is constant, andthat therefore the curve cuts all itsradii vectores at the same the name
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