Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric equations.x = 2 + sec t, y = 5 + 2 tan t; 0 < t < 

A. (x - 2)2 +  = 1; 1 ? x ? 3
B. (y - 2)2 -  = 1; -? < x < ?
C. (x - 2)2 -  = 1; x > 3
D. (x - 2)2 - (y - 5)2 = 4; -? < x < ?


Answer: C

Mathematics

You might also like to view...

Find the percent of change and state whether.  A client in a weight-loss program weighed 310 pounds when enrolling in the program and 273 pounds at the end of week four. Find the percent of change in the client’s weight.

A. 114% B. 88.1% C. 11.9% D. 36.89%

Mathematics

Graph the parabola. State the vertex of the parabola.y = (x + 1)2 - 4

A. vertex (4, 1)
 
B. vertex (-4, -1)

C. vertex (-1, -4)
 
D. vertex (1, -4)
 

Mathematics

List the intercepts of the graph.Tell whether the graph is symmetric with respect to the x-axis, y-axis, origin, or none of these. 

A. intercepts: (0, 3) and (0, -3) symmetric with respect to origin B. intercepts: (3, 0) and (-3, 0) symmetric with respect to x-axis, y-axis, and origin C. intercepts: (3, 0) and (-3, 0 symmetric with respect to y-axis D. intercepts: (0, 3) and (0, -3) symmetric with respect to x-axis, y-axis, and origin

Mathematics

Express as a single logarithm and, if possible, simplify.ln (x2 - 4) - ln (x + 2)

A. ln (x - 2) B. ln (x2 - 2) C. ln (x + 2) D. ln (x - 4)

Mathematics