a.
To Find: A curve through the point
a.
Answer to Problem 19E
A curve through the point
Explanation of Solution
Given information: A curve through the point
Formula used: if a smooth curve begins at
If y is a smooth function of x on
If x is a smooth function of y on
Calculation:
A curve through the point
if a smooth curve begins at
Here
b.
To Find: number of such curves are there.
b.
Answer to Problem 19E
There is only one function.
Explanation of Solution
Given information: A curve through the point
Formula used: if a smooth curve begins at
If y is a smooth function of x on
If x is a smooth function of y on
Calculation:
A curve through the point
Here
So, there is only one function.
Chapter 8 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
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