Indicate if the following statement is TRUE or FALSE. Briefly justify your response with an explanation or a counterexample. = 2. X for X EQ and f(x) = x for x #Q. It follows that f is differentiable at 0. Suppose f(x) =

Find the values of c and d that make the function 6x if x 2 continuous. с — d =

Jerry is driving across the country at a constant speed. Jerry enters Intersate 90 and and starts a clock as he passes mile marker 73. After 4.3 hours, Jerry passes miles marker 417. Represent the time elapsed in hours using the independent variable t. Represent the mile marker passed at time t with the dependent varlable z. At what speed is Jerry driving? 80 miles per hour Write a formula to compute the mile marker z as a function of t. What mile marker is Jerry passing when 7.9 hours have elapsed? 705

A mass of 0.5 kg stretches a spring 0.09 m. The mass is in a medium that exerts a viscous resistance of 34 m N when the mass has a velocity of 4 .. The viscous resistance is proportional to the speed of the object. S Suppose the object is displaced an additional 0.04 m and released. m Find an function to express the object's displacement from the spring's natural position, in m after t seconds. Let positive displacements indicate a stretched spring, and use 9.8 as the acceleration due to s² gravity. u(t)=