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(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.)


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