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Consider the parametric equations

x = 5t cos 40°

y = 5t sin 40°

a. Make a graph with window 0 ( x( 5, -2 (y( 5, and 0 ( t( 1.

b. Describe the graph and the measure of the angle between the graph and the x-axis.

c. What is the relationship between this angle and the parametric equations?

d. What is the effect of the 5 in each equation? Change the 5 to a 1 in the first equation. What happens? What happens when you change 5 to 1 in both equations?

x = 5t cos 40°

y = 5t sin 40°

a. Make a graph with window 0 ( x( 5, -2 (y( 5, and 0 ( t( 1.

b. Describe the graph and the measure of the angle between the graph and the x-axis.

c. What is the relationship between this angle and the parametric equations?

d. What is the effect of the 5 in each equation? Change the 5 to a 1 in the first equation. What happens? What happens when you change 5 to 1 in both equations?

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