If a = 1 − v^2 and both x and v are zero when t = 0, show that x = −1/2ln(1-v^2) and hence find v^2 as a function of x.

Find f(1) and f(2). f(x)=x+7

Q/ show that the real part of the function Z² is always positive, ZeC

Find bn if the function f(x)=x^2.

After Julia has driven for a quarter of an hour, she was 170 miles east from Denver. After driving for 3 hours, she was only 100 miles east from Denver. Assume that Julia drove at a constant speed during the trip. Let f be a function that gives Julia’s position east from Denver (measured in miles) after having driven for t hours. Determine a rule for the function f . Interpret the meaning of f^(-1)(16) and then find its value if it exists. Interpret the meaning of f^(―1)(-141) and then find its value if it exists. Determine a rule for f^(―1) . Construct a graph for f^(―1) .

the height ( in feet) attained by a rocket t sec into flight is given by the function h(t)=-1/3t^3+21t^2+43t+20. When is the rocket rising and when is it descending?