a.
To find: the equations for the tangent and normal to the cissoids of Diocles,
a.
Answer to Problem 46E
Tangent line:
Normal line:
Explanation of Solution
Given information: The given cissoids of Diocles
Pictured below.
Calculation:
The given cissoids of Diocles
Differentiate implicitly using the product rule.
The slope of the normal line is the negative reciprocal of the tangent line slope. Therefore the slope of the normal line is -1/2.
b.
To explain : how to reproduce the graph on the grapher.
b.
Answer to Problem 46E
Explanation of Solution
Given information: The given cissoids of Diocles
Pictured below.
Calculation:
Solve for y . he graph does not pass the vertical −line test , judging whether it is in −fact a
function .When solve for y, will see that it is two functions and graphed together, they will give the graph shown
Chapter 4 Solutions
Calculus: Graphical, Numerical, Algebraic
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