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

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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.

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)

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

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

A function is reprersented parametrically by the equations x=(1+t)/(t^(3));y=(3)/(2t^(2))+(2)/(t). Then the value of |(dy)/(dx)-x((dy)/(dx))

s=5t^(3)-3t^(5)

A DAS GUPTA-Maxima and Minima-EXERCISE
  1. Find the coordinates of the point on the curve y=x/(1+x^2) where the t...

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  2. The parametric equations of the curve are x=2t(t^2+3)-3t^2, y=2t(t^2+3...

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  3. A function is defined parametrically as follows :x=t^5-5t^3-20 t+7y=4t...

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  4. Let (h , k) be a fixed point, where h >0,k > 0. A straight line passin...

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  5. A 12-cm-long wire is bent to form a triangle with one of the angles as...

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  6. The largest area of a rectangle which has one side on the x-axis and t...

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  7. Three sides of a trapezium are each equal to k cm. Find the greatest p...

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  8. A statue 4 meters high sits on a column 5.6 meters high . How far f...

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  9. A wire of length l is cut into two parts. One part is bent into a circ...

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  10. A point P is given on the circumference of a circle of radius rdot Cho...

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  11. The circle x^2+y^2=1 cuts the x-axis at Pa n dQdot Another circle with...

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  12. Find the point (alpha,)beta on the ellipse 4x^2+3y^2=12 , in the first...

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  13. Find the maximum area of an isosceles triangle inscribed in the ellip...

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  14. Prove that the minimum length of the intercept made by the axes on the...

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  15. Show that semi-vertical angle of right circular cone of given surface...

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  16. Prove that a conical tent of given capacity will require the least ...

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  17. It is desired to construct a cylindrical vessel of capacity 500 cu m, ...

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  18. A manufacturer plans to construct a cylindrical can to hold one cu m o...

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  19. A square-based tank of capacity 250 cu m has to bedug out. The cost of...

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  20. A box without lid having maximum volume is made out of square metal sh...

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