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.

## Answer This Question

## Related Questions

- calc - a) Suppose f(x) is defined on 0 ≤x≤1 by the following rule: f...
- Calculus MATH - Problem statement a) Suppose f(x) is defined on 0 ? x ? 1 by the...
- PRE - CALCULUS - Eliminate the parameter t. Find a rectangular equation for the ...
- algebra 1 help please - 4) a student score is 83 and 91 on her first two quizzes...
- Differentials (calc) - Solve the Poisson equation ∇^2u = sin(πx) for ...
- Algebra 2 - Solve. 4a-2≤a+1≤3a+4 4a-2-1≤a+1-1≤3a+4-1 4a-...
- statistic - Given that z is a standard normal random variable, compute the ...
- Calc - Evaluate the following integral using three different orders of ...
- New Age Math - Consider the region defined by the inequalities: 0≤x 0&#...
- Algebra 2 - The graph shows a probability distribution. Which probabilities are ...

More Related Questions