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Show that 2sinx+tanx≥3x, where 0≤x< π/2 ...

Show that `2sinx+tanx≥3x`, where `0≤x< π/2` ​

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. A window of perimeter P (including the base of the arch) is in the ...

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  2. A point P is given on the circumference of a circle of radius r. Chord...

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  3. Show that 2sinx+tanx≥3x, where 0≤x< π/2 ​

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  4. Find the maxima and minima of the function y=x(x-1)^2,0lt=xlt=2.

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  5. Investigate for the maxima and minima of the function f(x)=int1^x[2(t...

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  6. The smallest positive root of the equation tanx-x=0 lies in (a)(0,pi/2...

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  7. Let P(x)=a0+a1x^2+a2x^4+...+an x^(2n) be a polynomial in a real variab...

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  8. A cylindrical container is to be made from certain solid material whic...

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  9. Statement 1: If f(0)=0,f^(prime)(x)=ln(x+sqrt(1+x^2)), then f(x) is po...

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  10. Match the items of column I with column II and select the correct opti...

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  11. Find the points at which the function f given by f(x)=(x-5)^4 has loca...

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  12. Find the greatest value of f(x)=1/(2a x-x^2-5a^2)in[-3,5] depending up...

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  13. The set of all values of a for which the function f(x)=(sqrt(a+4)/(1...

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  14. Let f(x)=(x^3-6x^2+12 x-8)e^xdot Statement 1: f(x) is neither maximum...

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  15. Statement 1: The function f(x)=x^4-8x^3+22 x^2-24 x+21 is decreasing f...

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  16. If f is a real function such that f(x) > 0,f^(prime)(x) is continuous ...

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  17. Let f(x)=x^3-3x^2+6AAx in \mathbb{R} and g(x)={m a x :f(t ; x+1lt=tlt=...

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  18. From a fixed point A on the circumference of a circle of radius r , th...

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  19. The lower corner of a leaf in a book is folded over so as to reach the...

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  20. h(x)=3f((x^2)/3)+f(3-x^2)AAx in (-3, 4) where f''(x)> 0 AA x in (-3,4)...

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