1. [10 points} Itls IQUE and everyone believes that the kinetic energg.r of a particle is given by the formula 1 KCIIS) = Ema: where m. is the mass of the particle at rest and s is the speed of the particle. Albert Einstein just published his paper on Special Relativity. [n it he claims that the kinetic energi-r of a particle is actually.r given by the formula Page} = m? (; 1), where c is the speed of light1 m is the mass of the particle and 3 is the speed of the particle. {a} [4 points] Determine the tangent line approximation to the function 1 .m fix} = about the point x 2 Cr. {b} [4 points] Use your answer to part {a} to approximate 353(3). {c} [2 points] Compare your answer tn part {b} with Kc(s]. What do you observe? Hint: Think about the values for which the tangent line approximation is accurate