Consider the parametric equationsx=cost -sint/√2y = cos t + sin t0 < t < 2pia. Eliminate the parameter to find a Cartesian equation for the parametric curve. Hint: Multiply by , then square both equations and add them together. b. Sketch the parametric curve, indicating with arrows the direction in which the curve is traced.

(a)

(b)In the attached diagram

Step-by-step explanation:

Step 1: Multiply both equations by t

Step 2:We square both equations

Step 3: Adding the two equations

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

idk

step-by-step explanation: