Week 11 0B2 Tutorial

Quiz
•
Mathematics
•
University
•
Hard
Nikesh Solanki
Used 17+ times
FREE Resource
6 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
An explanation of when solutions are increasing and decreasing.
A sketch of solutions of the ODE.
A sketch of the tangents of solutions of the ODE.
A sketch of F(x,y).
2.
MULTIPLE SELECT QUESTION
1 min • 1 pt
When F(x,y) is not defined at (x,y)=(a,b).
When F(a,b)=0.
3.
MULTIPLE SELECT QUESTION
1 min • 2 pts
What is the point in a direction field?
We can obtain rough sketch of any given solution without solving the ODE.
It helps us to see what solutions "look like" even if we do not know how to solve the ODE.
Can ascertain properties/qualities of the solutions (without solving the ODE).
It gives us a solution to the ODE.
4.
MULTIPLE SELECT QUESTION
1 min • 1 pt
A graph sketch of the solution y(x) such that y(a)=b that follows the direction field.
A solution of the ODE.
5.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
The inclination of solutions of the ODE.
Graph sketches of solutions of the ODE.
Functions y(x) satisfying the equation F(x,y)=c for some constant c.
The graph of the equation F(x,y)=c for some constant c.
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Why can isoclines be useful?
Can be used to extend the direction to problematic points discussed in question
We can use the isocline to derive a solution of the ODE.
Isoclines are solutions to the ODE.
We can use them to obtain a more accurate direction field.
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