Continuity and Differentiability
Find dxdy,if y=12(1−cost),x=10(t−sint),−2π<t<2π
Verify Mean Value Theorem, if f(x)=x3−5x2−3x in the interval [a, b], where a=1andb=3. Find all c∈(1,3) for which fprime(c)=0.
If x and y are connected parametrically by the equations given, without eliminating the parameter, Find dxdy.
In a bank, principal increases continuously at the rate of r% per year. Find the value of r if Rs.100 double itself in 10 years (loge2=0.6931).