A functiony =f(x) is represented parametrically as following
`x=phi(t)=t^(5)-20t+7`
`y=psi(t)=4t^(3)-3t^(2)-18t+3`
where t in [-2,2]
Find the intervals of monotonicity and also find the points of extreama.Also find the range of function.

If the function y=f(x) is represented as x=phi(t)=t^(5)-5t^(3)-20t+7y=psi(t)=4t^(3)-3t^(2)-18t+3(|t|<2) then find the maximum and minimum values of y=f(x)

A function is defined parametrically as follows: x=t^(5)-5t^(3)-20t+7y=4t^(3)-3t^(2)-18t+3},|t|<2 Finf the the maximum and the mimimum of the funtion and mention the values of t where they are attained.

Let the function y = f(x) be given by x= t^(5) -5t^(3) -20t +7 and y= 4t^(3) -3t^(2) -18t + 3 where t in ( -2,2) then f'(x) at t = 1 is

Let a function y=y(x) be defined parametrically by x=2t-|t|y=t^(2)+t|t| then y'(x),x>0

Consider the curve represented parametrically by the equation x=t^(3)-4t^(2)-3t and y=2t^(2)+3t-5 where t in R. If H denotes the number of point on the curve where the tangent is horizontal and V the number of point where the tangent is vertical then

The derivative of the function represented parametrically as x=2t=|t|,y=t^(3)+t^(2)|t| at t=0 is a.-1 b.1 c.0 d.does not exist

Find the value of t which satisfies (t-[|sin x|)!=3!5!7!where[.] denotes the greatest integer function.

A curve is represented parametrically by the equations x=f(t)=a^(In(b^t))and y=g(t)=b^(-In(a^(t)))a,bgt0 and a ne 1, b ne 1" Where "t in R. The value of (d^(2)y)/(dx^(2)) at the point where f(t)=g(t) is

Find the equation of the tangent and the normal at the point 't,on the curve x=a sin^(3)t,y=b cos^(3)t

A particle is moving such that s=t^(3)-6t^(2)+18t+9 , where s is in meters and t is in meters and t is in seconds. Find the minimum velocity attained by the particle.