Home /
Expert Answers /
Calculus /
consider-the-curve-described-by-the-following-vector-function-r-t-70e-t-cost-i-70e-t-sint-j-pa320
(Solved): Consider the curve described by the following vector function. r(t)=(70e^(-t)cost)i+(70e^(-t)sint)j+ ...
Consider the curve described by the following vector function.
r(t)=(70e^(-t)cost)i+(70e^(-t)sint)j+(7-7e^(-t))k, for t>=0
a. What is the initial point of the path corresponding to r(0) ?
b. What is \lim_(t->\infty )r(t) ?
c. Eliminate the parameter t to show that the curve r(t) lies on the surface z=7-(r)/(10), where r^(2)=x^(2)+y^(2).
a. The initial point of the path corresponding to r(0) is
.
(Simplify your answer. Type integers or decimals.)