Determine the average value of y=2x+3 in...

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

Verified by Experts

The correct Answer is:

2

From distance formula `(8-0)^(2)+(-4-a)^(2)=100 rArr (4+a)^(2)=36 rArr a=2`

Similar Questions

Explore conceptually related problems

The area enclosed between the curve y=sin^(2)x and y=cos^(2)x in the interval 0le x le pi is _____ sq. units.

Find values of x on the interval [0,pi] for which cos x le sin 2x .

Find minium value of (9x^(2)sin^(2)x+4)/(2sinx.x) in the interval 0 le x le pi .

Draw the graph of the function f(x) = x - |x - x^(2)|, -1 le x le 1 and discuss the continuity or discontinuity of f in the interval -1 le x le 1

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

Find the values of x in the interval [0,2pi] for which 4sin^(2)x - 8 sinx+3 le0

The solution set of (2"cos"x-1)(3+2"cos"x) = 0 in the interval 0 le x le 2 pi , is

Use real number line to find the range of values of x for which : -1 lt x le 6 and -2 le x le 3 .

Find the smallest and the largest values of tan^(-1) ((1 - x)/(1 + x)), 0 le x le 1

Solve 1 le |x-2| le 3