# Quiz: Common Maxima and Minima Problems in Calculus

Problems in this quiz involves common variable relationship of maximum and minimum values. All problems in this quiz can be solved without the use of differentiation provided you memorize the variable relationship for maximum and minimum values of each case.

Solution are provided at the end of the quiz for you to see how to solve the problem without differentiation.

**Important:** You can only take this quiz once.

# Quiz in Basic Mathematics

# Random Steps of a Drunk Man: Probability of Escaping the Cliff

**Problem**

From where he stands, one step toward the cliff would send the drunken man over the edge. He takes random steps, either toward or away from the cliff. At any step his probability of taking a step away is 2/3, of a step toward the cliff 1/3. What is his chance of escaping the cliff?

A. 2/27 | C. 4/27 |

B. 107/243 | D. 1/2 |

# Problem 917 | Combined Axial and Bending

**Problem 917**

For the structure in Problem 916, calculate the maximum compressive stress in bar *ABC* if its cross section is 200 mm square.

# Problem 916 | Combined Axial and Bending

# Problem 915 | Combined Axial and Bending

**Problem 915**

For the structure in Problem 914, compute the maximum tensile stress developed in bar *CB*.