(a)
To find : equation of normal and tangent line to the cissoid of Diocles at indicated point.
(a)
Answer to Problem 46E
The normal and tangent line at
Explanation of Solution
Given information :
The equation of cissoid of Diocles is
Formula needed :
Power rule of derivative:
Product rule of derivative:
Tangent and normal line at point
Differentiate
Solve further,
Substitute
The tangent line at point
The normal line at point
(b)
To explain : procedure to draw a graph on grapher.
(b)
Explanation of Solution
Given information :
The equation of cissoid of Diocles is
Break the curve equation into
Take square root on both sides,
The equation of curve breaks into two functions
Insert function one by one and equation of tangent and normal.
Chapter 3 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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