The average typing speeds S (in words per minute) of a typing student after t weeks of lessons are shown in the table. + 5 10 15 20 25 30 S 30 65 82 92 99 100 A model for the data is given by the following. 110/2 S = 59 + 12' 1>0What is the limit? (If you need to use co or -co, enter INFINITY or -INFINITY, respectively.) 4.655 X words per minuteUse the information to find and compare Ay and dy. (Round your answers to three decimal places.) y = 0.7x* x = 1 Ax = dx = 0.1 Ay = dy =Find the differential dy of the given function. (Use "dx" for dx.) y = x arcsin(4x) 4x dy = + arcsin ( 4x ) dx V1 - 16x2 X