Use the first derivative and the second derivative test to determine where each function is increasing. decreasing, concave up. and concave down. y2x35x2+8x+l. XER r:) Select the correct choice below and, if necessary. ll in the answer box to complete your choice. '2.) A- The function is increasing on the intervalts} (Type your answer in interval notation. Use a comma to separate answers as needed. Type an integer or a simplified fraction.) {j} E. The function is not increasing on any interval. Find the limit. I_ lnx Im 2 incmo X Select the correct choice below and, if necessary: ll in the answer box within your choice. _ lnx -:'.::.~ A. "m 2' litmo X '11:? E. The limit does not exist and is neither on nor oo. Find the limit. 6 sin 3x lim X-0 5x2 Select the correct choice below and, if necessary, fill in the answer box within your choice. 6 sin 3x O A. lim (Simplify your answer.) X-0 5x2 O B. The limit does not exist and is neither co nor - co.Find the indicated limit. Note that l'Hopital's rule does not apply to every problem; and some problems will require more than one application of I'Hopital's rule. Use no or on when appropriate. 4x2 Iim ticmo (38x Select the correct choice below and, if necessary: ll in the answer box to complete your choice. _ 4x2 J___ Ilm E = '---i A' xroo '3 (Type an exact answer in simplified form.) (:1 E. The limitdoes not exist. Use the first derivative test and the second derivative test to determine where each function is increasing, decreasing, concave up, and concave down. y= 19x +6 , x2 W/ N I. . Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The function is increasing on (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Simplify your answer.) O B. The function is not increasing on any interval.Use the first derivative test and the second derivative test to determine where each function is increasing, decreasing concave up, and concave down. 6 y= 5x X70 Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The function is increasing on (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Simplify your answer.) O B. The function is not increasing on any interval.Use the first derivative test and the second derivative test to determine where each function is increasing, decreasing: concave up: and concave down. y=17xcr_x, x>0 Select the correct choice below and, if necessary; ll in the answer box within your choice. '3.-.' A- The function is increasing on (Type your answer in interval notation. Use integers ortractions for any numbers in the expression. Simplify your answer.) {j} E. The function is not increasing on any interval. Find the local maxima and minima for the function. Find the intervals on which it is increasing and the intervals on which it is decreasing. y = x" - 12x + 2, XER Find the local maxima and minima of the function. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. (Type an ordered pair. Type an exact answer for each coordinate, using radicals as needed. Use a comma to separate answers as needed.) O A. The local minimum/minima is/are and the local maximum/maxima is/are O B. The local minimum/minima is/are and there are no local maxima. O C. The local maximum/maxima is/are and there are no local minima. O D. There are no local minima or maxima.Find the local maxima and minima for the function. Find the intervals on which it is increasing and the intervals on which it is decreasing. 3 y= 3 X - 3x + 3x + 4, XER Find the local maxima and minima of the function. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. (Type an ordered pair. Type an exact answer for each coordinate, using radicals as needed. Use a comma to separate answers as needed.) O A. The local minimum/minima is/are and the local maximum/maxima is/are O B. The local minimum/minima is/are and there are no local maxima. O C. The local maximum/maxima is/are and there are no local minima. O D. There are no local minima or maxima.Determine all inflection points. f(x) =6e-7x2 X20 Identify the coordinates of any inflection points. O A. The coordinates of the inflection points are (Simplify your answer. Type an ordered pair. Type an exact answer using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B. There are no inflection points.Hill's equation for the oxygen saturation of blood states that the level of oxygen saturation (fraction of hemoglobin molecules that are bound to oxygen) in blood can be represented by the following function, where P is the oxygen concentration around the blood (P > 0) and n is a parameter that varies between different species. Answer parts (a) through (f) below. pn f(P) = p + 30h (a) Assume the n = 1. Show that f(P) is an increasing function of P and that f(P)-1 as P-co. Choose the correct answer below. O A. P 60 If n = 1, f(P) = P + 30 and f (P) = - The function f(P) is an increasing function since the slope of (P + 30)3 P the curve y = f(P) is always negative. As P-co, lim f(P) = lim P + 30 lim =1 P-+00 P-+0o P-+0o O B. P 60 If n = 1, f(P) = p+ 30 and f'(P) = The function f(P) is an increasing function since the slope of (P + 30)3 P the curve y = f(P) is always positive. As P-co, lim f(P) = lim lim P-+0o P-+00 P + 30 P -+ 00 O C. P 30 If n = 1, f(P) = P + 30 and f'(P) = The function f(P) is an increasing function since the slope of (P + 30)2 P the curve y = f(P) is always positive. As P-co, lim f(P) = lim P + 30 = lim 7 = 1 nFind the limit. X+ 3 lim X- -3 X- - 3x - 18 Select the correct choice below and, if necessary, fill in the answer box within your choice. x+ 3 O A. lim X--3 X- - 3x - 18 O B. The limit does not exist and is neither co nor - co