A car starts from a point at 2:00 pm. and travels north at 40 mph. Another car starts from the same point at 3:00 pm. and travels west at 50 mph. After the second car has traveled 1 h, at what rate is the distance between the two cars changing? A spherical ball is measured to have a radius of 6 cm with a possible measurement error of :0.1rm cm. Use the differentials to estimate the percentage error in computing the volume of the ball. A company determines a cost function of C = 6X2 - 180X + 2000, where C is the cost (in dollars) of producing X number of items. How many items should the company manufacture to minimize the cost? Question 4 10 Points The position of an object is given by the equation S(t) = 2x + X -6. Find the time t at which the instantaneous velocity of the object equals the average velocity in the interval [0,3]. A t = 1.5; s B t = 3; s C t = 2; s D t = 0; sFind the locations of local minimum and maximum of)"9 - 4x8 using the second derivative test. 32 (9 Local minimum at x=0 , local maximum at x= 9 32 9 Local minimum at x= ,no local maximum 32 Local minimum at x= , local maximum at 1:0 CD) Local minimum at x=0 ,no local maximum