Home
Class 11
PHYSICS
Determine the average value of y=2x+3 in...

Determine the average value of y=2x+3 in the interval `0lexle1`.

A

`1`

B

`5`

C

`3`

D

`4`

Text Solution

Verified by Experts

The correct Answer is:
D
`y_(av)=(underset(0)overset(1)intydx)/(1-0)=underset(0)overset(1)int(2x+3)dx=[2(x^(2)/2)+3x]_(0)^(1)=1^(2)+3(1)-0^(2)-3(0)=1+3=4`
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

Determine the average value of y=2x+3 in the interval 0 le x le 1 .

Determine the average value of y=2x+3 in the interval 0 le x le 1 .

Find the maximum value of 2x^(3)-24x+107 in the interval [1, 3]. Find the maximum value of the same function in [-3,-1] .

If velocity of a particle is given by v=(2t+3)m//s . Then average velocity in interval 0letle1 s is :

If some function say x varies linearly with time and we want to find its average value in a given time interval we can directly find it by (x_(i)+x_(f))/(2) . Here, x_(i) is the initial value of x and x_(f) its final value y co-ordinates of a particle moving in x-y plane at some instant are : x=2t^(2) and y=3//2 t^(2) . The average velocity of particle in at time interval from t=1 s to t=2s is :-

Determine the maximum value of z = 11x + 7y subject to the constraints : 2x+y le 6, x le 2, x ge 0, y ge 0

A variable y increases from y_(1)=2 to y_(2)=8 linearly with another variable x in the interval x_(1)=0 to x_(2)=10 . Express y as function of x and draw its graph.

The number of values of x in the interval [0, 3pi] satisfying the equation 2sin^2x + 5sin x- 3 = 0 is

It is given that at x = 1, the function x^(4)-62x^(2)+ax+9 attains its maximum value, on the interval [0, 2]. Find the value of a.

The value of c in Rolle's theorem for the function f(x)= x^(3) in the interval x in [0, sqrt3]