Concern of the angle of approach was raised, so a simple multiplier was added to the front of the x-component. also a rotation of the axes allows for a more accurate representation of the satellite's path. r= , where 0 = angle of rotation set 8 = tt/4, find the curvature k when a = 12, a = 1, and a = 2. is there an easier way to find the curvature than using the large parametric function? does the value of change the curvature at all?

Sasha has just gotten a new job in a nearby city. after comparison shopping, she found that renting a nice two-bedroom apartment would cost around $800 per month. her utilities would cost about $150 per month. sasha has enough money saved for a down payment, and she found that she can buy a three-bedroom house or condo with a mortgage payment of $1,000 per month, including taxes and homeowner's insurance. her utilities would cost about $200 per month. what is the advantage of buying the house over renting the apartment?