Answer the following questions. Show all work. (7 pts) 1. Write an equation for the line tangent to xy = x + 3y-3 at the point (1, 2) . (6 pts) 2. If y= e" , find (7 pts) 3. A ball is being inflated so that its radius is increasing at a rate of 3.4 centimeters per second. How fast is the volume of the ball changing when the radius is 5 cm?Ashley StJnhn '| hour ago Week 2 A 5'?" man is not considered abnormally short. I converted 57" to inches which comes to 5? inches The mean is 7'0 inches I took the total inches, mean and standard deviation: 57-7043: -1 Since 1 is less than 3 it is an outlier. Date my = 72 + 3 4 - 3 Page RANKA Tofind the egh of tangent we have to find dy dy Vax = slope of tangent x4 = *+ 34 -3 - diffrentiating win't x 42 + 2 x4 dy = 2x+ 3 dy we have to find tangent eg" at ( 1, 2 ) So 2 = 1 , 4 = 2 2 + 2 x 1 x 2 dy 2x 1 + 3 dy 4 + 4 dy = 2 + 3 dy Odx dy - 2 eegn of tangent if (4- 4 1 = M ( x - # 1 ) 1- 2 = - 2 ( 2 - 1 ) 4 - 2= - in f + 2 C 4 = - 2 x + yDate | Page 2 "* 4 = exy find dy . d ( exy ) dx + dy ( 2 ( xy ) Jeff xdy + yx 1 ) dy J e tady + yearof dal solving for dy dy / 1 - ey x - yely -= yelf er = y 1 2 7 01- xy (1 1 1) M = 18 - V