Use newtons method to approximate the zeros of the function. continue iterations until 2 successive approximations differ by less than 0.001. Then find the zeros using a graphing utility and compare the results. f(x)=x3-3x-1 show every step

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

During Ricardo noticed an ink stain with a diameter of about 3 cm on the front of his teacher’s shirt. He then noticed that there was a pen in the pocket and that the ink blot was continuing to spread across the front of the teacher’s shirt. He estimated that the diameter of the ink blot seemed to be growing by about 0.5 cm every 2 minutes. a) Write an equation for the RADIUS, r, of the ink stain, as a function of time, t. Assume that t = 0 represents the time that Ricardo first noticed the ink stain. b) Write an equation showing the AREA, A, of the ink stain as a function of the time t. (Hint: It might help to first write A as a function of r. ) c) Draw a graph of the function A(t) for 10 minutes. d) At what time is the area of the ink stain about 25 square centimeter? Show how you answer this question. (i.e. ”I found it using desmos” is not sufficient)

Use algebraic techniques to rewrite each function as a sum or difference; then find the derivative