How do you get a initial and terminal point given #x=cos(pit)#, #y=sin (pit)#, #0<=t<=1#?
The start and end points are:
# (1,0) # and# (0.54,0.84) #
respectively
We have parametric equations:
Thus the start and end points are:
respectively, which represents a small arc of a circle in Q2
By signing up, you agree to our Terms of Service and Privacy Policy
To find the initial and terminal points given ( x = \cos(\pi  t) ) and ( y = \sin(\pi  t) ) for ( 0 \leq t \leq 1 ), you would evaluate the expressions for ( x ) and ( y ) at ( t = 0 ) and ( t = 1 ).

Initial Point (( t = 0 )): Substitute ( t = 0 ) into the expressions for ( x ) and ( y ): ( x(0) = \cos(\pi  0) = \cos(\pi) = 1 ) ( y(0) = \sin(\pi  0) = \sin(\pi) = 0 ) Therefore, the initial point is ( (1, 0) ).

Terminal Point (( t = 1 )): Substitute ( t = 1 ) into the expressions for ( x ) and ( y ): ( x(1) = \cos(\pi  1) ) ( y(1) = \sin(\pi  1) ) These expressions can be evaluated using trigonometric properties or a calculator to find the terminal point.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
 How do you find parametric equations for the line which passes through the point (1,−2,3) and is parallel to both of the planes 3x + y + 5z = 4 and z = 1 − 2x?
 How do you convert each parametric equation to rectangular form: #x = t^(3/2) + 1#, #y = sqrt{t}#?
 What is the arclength of #f(t) = (lnt/t,ln(t+2))# on #t in [1,e]#?
 How do you differentiate the following parametric equation: # x(t)=lntt, y(t)= tcos^2t #?
 What is the derivative of #f(t) = (tlnt, 3t^2+5t ) #?
 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7