Math210

Given that y = 2 + 8cos () calculated Note: you may use technology to do basic computations, create tables or graphs, and/or check your results, Technology may not be used to do Calculus operations 2. Let t represent the number of seconds since the surface area of a balloon started to change and A (t) represent the surface area of the balloon, measured in square meters. Explain the meaning of A'(10) = 4 in the context of this problem situation. 3. (3) Use the table of data shown below to approximate the value of f'(2.5) 2 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3 fix 23 21 19.9 19 18.2 17.4 16.6 15.5 14.1 12 10 (b) Use your answer to part (a] to find the linearization of f(x) at the point x = 2.5 and then use this linearization to approximate f (2.51) 4. Find the following limit (remember to document your solution process): lim ex - 1 x -0 x+sin(xx) Note: you may use technology to do basic computations, create tables or graphs, andfor check your results. Technology may not be used to do Calculus operations