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If x=log t, y=t^2-1, then what is y2 at ...

If x=log t, `y=t^2-1`, then what is `y_2` at t=1 ?

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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Write the value of (dy)/dx at (1,0) where x^2y+y^2+x=0.

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  2. Write the minimum value of y2 where y=sin^2x cos^2x

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  3. If x=log t, y=t^2-1, then what is y2 at t=1 ?

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  4. What is the slope of the tangent to the curve y=3x^2+2x-1 at x=2?

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  5. If y=1/(x(x+1))then what is y3?

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  6. If f(x)=e^(ax) sin ax and f"(0) = 2, then what is a ?

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  7. A balloon is pumped at the tate of 10 cubic cm/min . What it the rate ...

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  8. For what values of a the function e^(ax)is increasing ?

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  9. What is the interval in which log5xis increasing ?

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  10. What is the interval in which f(x)=x^3-3x^2+3x-10 is strictly increasi...

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  11. Give example of a function which is increasing in (-oo,2) and (3,oo) a...

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  12. Write the least value of a for which the function f defined by f(x)=x^...

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  13. For what value of K, Kf is increasing if f is increasing ?

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  14. At what point of x^2=2y the point (0,3) is nearest to the curve?

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  15. If theta+phi=pi/3, then for what value of a sin theta. Sin phi is maxi...

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  16. Write the absolute maximum and absolute minimum of the function f(x)=x...

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  17. Which condition of Rolle's theorem is violated by the functionf(x) = s...

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  18. Which condition of Rolle's theorem is violated by the functionf(x) =| ...

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  19. Is there any tangent to the curve y=|2x-1| at (1/2,0)?

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  20. Write the subinterval of (0,pi) in which sin (x+pi/4) is increasing.

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