(a) Differentiate each of the components to get r'(t). The rule is
.. d/dt (a*e^(bt)) = a*b*e^(bt)
The answer you have shown is the correct one.
(b) See the figure. The red curve is the position r(t) for 0 ≤ t ≤ 2. The dashed orange line is the tangent line, whose equation is
.. L(t) = r(0) +r'(0)*t = (2 +2t)i +(3 -3t)j
I think the answer is 20.25 because when solving for the area of a triangle you do 1/2 base times height and so the equation would be
1/2(9)(4.5)
you would start by doing 9(4.5) which equals 40.5
then you would divide by 1/2 which equals 20.25
hope this helps:)
Answer:
B) Aluminum and steel are good conductors of electricity.
Step-by-step explanation:
I don’t see anything is there supposed to be a picture or?