Homework Help: calc

Posted by Mark on Tuesday, December 1, 2009 at 3:00am.

a) Suppose f(x) is defined on 0 ≤x≤1 by the following rule: f(x) is the first digit in the decimal expansion for x. For example, f(1/2) = 5 and f(0.719) = 7. Sketch the graph of y = f(x) on the unit interval with appropriate scales for x and for y. Use a graphical interpretation of the definite integral to compute ∫_0^1▒f(x)dx.
b) Suppose the function g(x) is defined as follows: g(x) is the second digit in the decimal expansion for x. For example, g(0.437) = 3. Compute ∫_0^1▒g(x)dx. Use graph.

calc - bobpursley, Tuesday, December 1, 2009 at 8:44am
I dont know what you need. We cant do the graph for you.

Answer this Question

Related Questions

calc - a) Suppose f(x) is defined on 0 ≤x≤1 by the following...
Math - Consider the region defined by the inequalities: 0≤x 0&#...
New Age Math - Consider the region defined by the inequalities: 0≤x 0&...
calculus - In spherical coordinates, the inequalities 0≤ρ&...
New Age Math - Suppose that y≤5x,3x≤y and 14x+15y≤...
calculus - Estimate the volume of the solid that lies below the surface z = xy ...
Math - Suppose that y≤3⁢x, 2⁢x≤y and 13&...
Calculus 3 - Compute the average value of following fuction over the region R? f...
Math - Minimize C=7x+3y+4z 0≤x 0≤y 0≤z 100&#...
Math - Minimize C=7x+3y+4z 0≤x 0≤y 0≤z 100&#...

For Further Reading

First Name:
School Subject:
Answer: