Consider the curve described by the vector parametric equation r(t) = < 0,2cost, sint>
1. sketch the curve c described by r(t) for 0 ≤ t ≤ 2π.
2. find r(π/2) and r'(π/2). indicate both on your sketch.
3. give a vector parametric equation for the tangent line to the curve c at t = π/2.
i have several questions like these but i couldn't get started. trying to work ahead.

the number 100 represents the number of trials in the experiment.

49/100 represents the experimental probability of the coin landing heads up.

step-by-step explanation:

b. is true. hope this . happy

11) obtuse

13)right

15) acute

one way is to plot 2 points and connect them which is what the answer choices seem to be doing

it seems to be using the y intercept and the slope

y=mx+b, m=slope, b=y-intercept (where the line hits the y axis)

slope=rise/run

y-intercept is where the line croses the y axis which is the y value where x=0

you seem to have given the wrong slope (you didn't put a number in front of te x, it should be 2/3 or 3/2 looking at the answer options)

y=? x-1

m=? because of your fault

b=-1

so it has a slope of ? and y intercept of -1, meaning it pases through (0,-1)

so draw point (0,-1) (so answer is one of the first 2 option)

if slope is 2/3, then go up 2 and right 3 then draw line through those 2 points

if slope is 3/2, then go up 3 and right 2 then draw line through those 2 points