Asked by Ray
I am given a vector function <2cos(t) + cos(2t), 2sin(t) + sin(2t), 0>
(in other words) : (2cos(t) + cos(2t))i + (2sin(t) + sin(2t)j + 0k
Compute the slope dy/dx and concavity d^2x/(dx^2) at t = pi/3.
I understand that finding the slope of a vector is possible by using dy/dx such that (dy/dt)/(dx/dt) and finding the concavity is by finding the derivative of (dy/dt) then divide (dy/dt)/(dx/dt) but what I'm confused here is when exactly do I plug t in? This part is really confusing to me and I would like some guidance on to actually solve for both the slope and concavity.
Any help is greatly appreciated!
(in other words) : (2cos(t) + cos(2t))i + (2sin(t) + sin(2t)j + 0k
Compute the slope dy/dx and concavity d^2x/(dx^2) at t = pi/3.
I understand that finding the slope of a vector is possible by using dy/dx such that (dy/dt)/(dx/dt) and finding the concavity is by finding the derivative of (dy/dt) then divide (dy/dt)/(dx/dt) but what I'm confused here is when exactly do I plug t in? This part is really confusing to me and I would like some guidance on to actually solve for both the slope and concavity.
Any help is greatly appreciated!
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