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

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is