Continuity & Differentiability
Question 1:
If x and y are connected parametrically by the equation, without eliminating the
Answer
Question 2: If x and y are connected parametrically by the equation, without eliminating the
parameter, find .
x = a cos θ, y = b cos θ
Answer
The given equations are x = a cos θ and y = b cos θ
Question 3: If x and y are connected parametrically by the equation, without eliminating the
parameter, find .
x = sin t, y = cos 2t
Answer
The given equations are x = sin t and y = cos 2t
Question 4:
If x and y are connected parametrically by the equation, without eliminating the
.
Answer
Question 5: If x and y are connected parametrically by the equation, without eliminating the
Answer
The given equations are
Question 6: If x and y are connected parametrically by the equation, without eliminating the
Answer
The given equations are
Question 7: If x and y are connected parametrically by the equation, without eliminating the
parameter, find .
Answer
The given equations are
Question 8: If x and y are connected parametrically by the equation, without eliminating the
parameter, find
Answer
The given equations are
Question 9: If x and y are connected parametrically by the equation, without eliminating the
parameter, find .
Answer
Question 10: If x and y are connected parametrically by the equation, without eliminating the
parameter, find .
Answer
Question 11:
If
Answer
Hence, proved.
1. What is continuity in calculus? 
2. How do you determine if a function is continuous or not? 
3. What is differentiability in calculus? 
4. How do you determine if a function is differentiable or not? 
5. Can a function be continuous but not differentiable? 
129 videos359 docs306 tests

129 videos359 docs306 tests
