Need help with problems 34-44. Answers only is fine if you want. I'll give helpful rating.

34 Select the correct answer. The average speed v, in meters per second, ofa cyclist in a race is given by the function 4:2 f vi = ( i 9 where tis the time in seconds. The power P, in watts, that the cyclist exerts during the race is given by the function RV) = 0.51/2 + v. Find g at 1: 2 seconds. 0 A. 4.26 watts/second O B. 3.11 watts/second O C. 2.80 watts/second O D. 2 watts/second 35 Select the correct answer. Find f' (x) if f( x ) = v1+~x. O A. 1 2( V1 + VX ) ( vx ) O B. 1 4 ( V1+1/x ) ( VX ) OC. V/x 4 ( V1 + /x ] ( vx ) OD. 1 4x( V1+ V x36 Select the correct answer. Find f'(x) if f(x) = cos vx . O A. X sin VX 2 O B. sin VX 2VX O c. 2sin vx OD. - sin /x 24X37 Select the correct answer. Find the points at which the equation x2 - xy+y2 = 9 has horizontal tangent lines. 0 B. (15. amend (437. 443) O C. (3. 2) and (-3. -2) O D. (0:3) and (0.3) 38 Select the correct answer. Find dx for the equation xy = -12. dy O A. OB. 12x y O C. OD. 12x39 Select the correct answer. Find the points at which the equation y + 3x- = 6 has vertical tangent lines. O A. (0, 2). (0. - V2) OB. ( 6. 0). (- V/6 . 0) O c. (0. V6). (0. - V6) OD. ( 2. 0). (- V2. 0)40 Select the correct answer. Ox Find for the equation (y - 1)x = y+ 1. dy OA. 2( - 1 +y) (- 1+ x2 O B. 2x( - 1 +y ) 7- 1+x2 ) O C. 2 x + y 7- 1 + x 2 ) OD. 2xy F-1+ x 2 )41 Select the correct answer. The price (in dollars) of a stock tracked from noon to 3 on a given day is shown by the function f(t) = 0.1(t - 2) + 6, where tis in hours. Find the rate at which the stock price was changing at one o'clock? O A. $0.10 per hour O B. $0.30 per hour O C. $-0.30 per hour O D. $-1.00 per hour42 Select the correct answer. The concentration (moles per liter) of carbon dioxide produced in a chemical reaction is given by the function CIE)= [3 4t+ 2, where tis in hours. Find the rate at which the concentration of carbon dioxide produced is changing after 4 hours. 0 A. 25 moles/liter per hour 0 B. 40 moles/liter per hour 0 C. 42 moles/liter per hour 0 D. 44 moles/liter per hour 43 Select the correct answer. A DVD manufacturing company can determine the cost (in million dollars) of producing x number of DVDs in a day by using the function c(x) = 3x3 + 4x. Find the marginal cost function. O A. 4+ 9x2 million dollars/day O B. 4x + 9x2 million dollars/day O C. 4 + 9x million dollars/day O D. 4x + 3x3 million dollars/day44 Select the correct answer. The velocity (in meters per second) with which a roller coaster moves can be given by the function f(t) = (t- 3) + t. Find the acceleration function a(t). O A. a(t) = 3( t - 3) 2 + tm/52 O B. a(t) = (t - 2) 3 + 1 m/s2 O c . a (t ) = ( t - 2 ) 2 + 3 m / 5 2 O D. a (t ) = 3(t - 3 ) 2 + 1 m/ 5 2