Question 1 : match the term with the correct definition

ellipse a) diagonal cross-section through the widest part of a sphere
circle b) shape created when a semi-circle is rotated about the y−axis
sphere c) diagonal cross-section of a cylinder
great circle d) cross-section parallel to the base of a cone
triangle e) perpendicular cross-section of a cone

question 2: which two-dimensional shape can be rotated about the y-axis to create a cone?

question 3: the cross-section of a square pyramid taken perpendicular to the base that passes through the top vertex produces which two-dimensional shape?

Which sum or difference identity would you use to verify that cos (180° - q) = -cos q? a.) sin (a -b) = sin a cos b – cos a sin b b.) cos (a -b) = cos a cos b – sin a sin b c.) cos (a -b) = cos a cosb + sin a sin b d.) sin (a + b) = sin a cos b + cos a sin b

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.

What is the inverse of f(x) = 6x -24