A curve c is defined by the parametric equations
x= t^2 y= t^3-4t
a) The curve C has 2 tangent lines at the point (6,0). Find
their equations.
b) Find the points on C where the tangent line is vertical and
where it is horizontal.
Given v′(t)=2ti+j, find the arc length of the curve v(t) on the
interval [−2,3]. You may use technology to approximate your
solution to three decimal places.
given the curve x(t)=t^2+3 and y(t)=2t^3-3t^2 find the following:
a.) find the derivative of the curve at t=1
b.) dind the concavity of the curve
c.) graph the curve from t=0 to t=2
d.) find the area if the curve on the interval
0<=t<=2
Find an equation of the tangent to the curve x = 2 + ln t, y =
t2 + 4 at the point (2, 5) by two methods.
(a) without eliminating the parameter
(b) by first eliminating the parameter
Given r(t) = <2 cos(t), 2 sin(t), 2t>. • What is the arc
length of r(t) from t = 0 to t = 5. SET UP integral but DO NOT
evaluate • What is the curvature κ(t)?