Calculus Online: Lab 1 Solutions

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Question 1: History of Mathematics

We asked you to read a bit about Gauss' life and then select which of the following statements about his life was true:

• (a) The quotation about nature that Gauss adopted as a motto comes from the famous play The King and I, by Rogers and Hammerstein.
• (b) The unit of electric field (a gauss) was named after Gauss' father, who had done extensive work in electricity before the Carl was born.
• (c) The saying "Pauca sed matura" refers to the kinds of fruit that Gauss liked to eat for dessert.
• (d) When Gauss was a little boy, he added up the first 100 integers and got the number 5005, the only correct answer in his class.
• (e) None of the above.

The correct answer was e, none of the above. (The sum in part d) is not correct.)

Interactive Diagrams

We asked you to modify the line so that it passes through the point (-2.3,1.2) and has a slope of -1/2. In this form, the equation of the line would read

Questions with Multiple Parts

Part a: We wanted you to modify the triangle so that its area is 3. Remember that the area of a triangle is one half the product of its base times height.

Part b: We wanted you to modify the trapezoid so that its area is 5. Remember that the area of a trapezoid is the base times the average of the two heights.