Determine the horizontal and vertical axis intercepts: r = 36 + 70sin θ. Please show your work need help!

See below for answers and explanations (along with a graph)

Step-by-step explanation:

Refer to the equations for a limaçon:

y=a+bcos∅ (horizontal line of symmetry) and y=a+bsin∅ (vertical line of symmetry) where a/b determines the type of limaçon.

This is an inner loop limaçon because 36/70<1, so its horizontal axis intercepts are 36 and -36 (marked in red) and its vertical axis intercepts are 0, 36+70=106 and 70-36=34 (marked in green)