Circle Problem: A parametric function has the equations x = 6 + 5 cos t y = 3 + 5 sin t
Chapter 4, Problem 7(choose chapter or problem)
Circle Problem: A parametric function has the equations x = 6 + 5 cos t y = 3 + 5 sin t a. Plot the graph of this function. Sketch the result. b. Find an equation for dy/dx in terms of t. c. Find a value of t that makes dy/dx equal zero. Find a value of t that makes dy/dx infinite. Show a point on the graph for which dy/dx is infinite. What is true about dx/dt and about dy/dt at a point where dy/dx isinfinite?d. Eliminate the parameter t. To do this,express the squares of cosine and sine interms of x and y, then apply thePythagorean property for sine and cosine.e. From the equation in part d, you should beable to tell that the graph is a circle. Howcan you determine the center and the radiusof the circle just by looking at the originalequations?
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