Suppose there are two goods, L and G. Lanier likes more of G and dislikes more of L. The Marginal Rate of Substitution (MRS) of Lanier’s indifference curves over L and G is:

If the production function is then there are constant returns to scale.

The demand function for mangos is given by:

  The production of a handmade clay pot needs two inputs, labor and clay, to produce its output: a pot. Producing a pot always requires the same amount of clay and the same amount of time. Which of the following production functions could appropriately describe the production process, where C represents pounds of clay and L represents hours of labor?  

You ARE required to show work for this problem. Consider a triangle ABC like the one below where C = 67°, a = 63 cm, and b = 5 cm. Find the length of side c and the measure of angle B. Round your answers to one decimal place. general triangle.jpg   c = [BLANK-1] cm B = [BLANK-2] degrees

You ARE required to show work for this problem. Find all solutions to the equation below in the interval [0,2π). eqn 2a.jpg  x = ? [BLANK-1]

You ARE required to show work for this problem. Find ALL (there are infinitely many) solutions (using a unit circle, not your calculator) for the equation below.  trig eqn.jpg   x=? [BLANK-1]

Note That you don’t have to type your answers in Question 13 & 14 as the blank link is not active. I will be checking your answer in the work submitted as work is required for both of those questions.

You are NOT required to show work for this problem.rational(1).PNG Select the correct graph of this function. You are not required to show work for this question. 

You ARE required to show work for this problem. If Θ is an angle in standard position whose terminal side includes the point (2, 3), find the exact value (there should be a square-root in at least one of your answers) of the following: tan Θ = [BLANK-1] sin Θ = [BLANK-2]