Trace the curve x = a (θ - sin θ ), y = a (1 - cos θ ). State the properties you use for tracing it, also.
____ ______ ________ __________ _________ __________ ___.
- Solved Assignments
- Study Notes
- Guess Papers
- Question Papers
✓ Unlock up to 60% of the answer
✓ No payment required
Prove that 
Find the length of the curve y = In 
from x = 1 to x = 2
Trace the curve x(y2 + 4) = 8, stating all the points used for doing so.
The cost of fuel is running an engine is proportional to the square of the speed in km/h and is ` Rs 48 per hour when the speed is 16 km/h. Other costs amount to ` Rs300 per hour. Find the most economical speed.
Find the maxima and minima, if any, for the function f given by
f (x) = x4 - 14x2 + 24x + 6.
Also find the values of the function at those points.
- If x sin y = sin (p + y), p ∈ R, show that sin p dy/dx + sin 2 y = 0.
Find the volume of the solid obtained by revolving the curve
X = a cos3 θ , y = a sin 3 θ about the y-axis.