The population of a city was 65,000 in 1990. Using the exponential model y=y₀e^kt for population growth, estimate the population of this city in 2015 for k=0.0173953. (Assume that t is measured in years and t=0 corresponds to 1990.) Round your answer to the nearest whole number.

Find a parametrization for the curve「and determine the work done on a particle moving along γ in r3 through the force field f: r^3--r^3'where f(x,y,z) = (1,-x,z) and (a) im (γ) is the line segment from (0,0,0) to (1,2,1) (b) im (γ) is the polygonal curve with successive vertices (1,0,0), (0,1,1), and (2,2,2) (c) im (γ) is the unit circle in the plane z = 1 with center (0,0,1) beginning and ending at (1,0,1), and starting towards (0,1,1)