Home
Class 11
PHYSICS
Find maximum and minimum values of y: ...

Find maximum and minimum values of y:
(i) `y=2 sinx` , (ii) `y=4-cosx` , (iii) `y=3sinx+4 conx`

Text Solution

Verified by Experts

(i) `y_("max")=2(1)=2` and `y_("min")=2(-1)=-2` , (ii) `y_("max")=4-(-1)=4+1=5` and `y_("min")=4-(1)=3`
(iii) `y_("max")=sqrt(3^(2)+4^(2))=5` and `y_("min")=-sqrt(3^(2)-4^(2))=-5`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN |Exercise Part -II Example|61 Videos

  • MISCELLANEOUS

    ALLEN |Exercise Part -II Example Some worked out Examples|1 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN |Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN |Exercise EXERCISE-IV|7 Videos

Similar Questions

Explore conceptually related problems

The minimum value of 3cosx+4sinx+8 is

Find first derivative of y w.r.t. x. (i) y=e^(-x) , (ii) y=4 sin 3x , (iii) y=4e^(x^(2)-2x)

The maximum & minimum value of y=x+(1)/(x) in interval [(1)/(3),(4)/(3)]

The sum of the maximum and minimum values of the function f(x)=1/(1+(2cosx-4sinx)^2)i s

Find dervatives of the following functions: (i) y=2x^(3) , (ii) y=4/x , (iii) y=3e^(x) , (iv) y=6 ln x , (v) y=5 sin x

Find differentiation of y w.r.t x. (i) y=(sin x)/x , (ii) y=(4x^(3))/e^(x)

Write each of the following in the form of ax + by + c = 0 and find the values of a, b and c (i) 2x = 5 (ii) y - 2 = 0 (iii) y/7=3 (iv) x= (-14)/13

Find differentiation of y w.r.t x. (i) y=x^(2)-6x (ii) y=x^(5)+2e^(x) (iii) y=4 ln x +cos x

Write each of the following in the form of ax + by + c = 0 and find the values of a, b and c (i) x = -5 (ii) y = 2 (iii) 2x = 3 (iv) 5y = -3

Plot y=sinx and y=2sinx.