Question

2 cos x, OSX 21. Identify any Graph the function by determining the key features of the curve represented by y = x + local and absolute extreme points and inflection points. Identify the coordinates of any local maxima. Select the correct choice below and fill in the answer box within your choice as needed O A. Local maxima occur at (Type an ordered pair Use a comma to separate answers as needed. Lype an exact answer for each coordinate, using as needed.) OB. There are no local maxima. Identify the coordinates of any local minima Select the correct choice below and fill in the answer box within your choice as needed. O A. Local minima occur at (Type an ordered pair Use a comma to separate answers as needed. Type an exact answer for each coordinate, using as needed.) OB. There are no local minima Identify the coordinates of any absolute maxima. Select the correct choice below and fill in the answer box within your choice as needed. O A. An absolute maximum occurs at (Type an ordered pair Use a comma to separate answers as needed. Type an exact answer for each coordinate using a as needed.) OB. There is no absolute maximum. Identify the coordinates of any absolute minima Select the correct choice below and fill in the answer box within your choice as needed O A. An absolute minimum occurs at (Type an ordered pair Use a comma to separate answers as needed. Type an exact answer for each coordinate, using as needed.) OB. There is no absolute minimum. Identify the coordinates of the inflection points. Select the correct choice below and fill in the answer box within your choice as needed O A. The inflection point(s) occur at (Type an ordered pair. Use a comma to separate answers as needed. Type an exact answer for each coordinate, using * as needed.) O B. There are no inflection points

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Answer 1

21 sin 2 COS ? = 1.4142 = 7.6974 Y= a +57 cosn y'=1-17. samm 6"=-12 coor , Critical point al y = 0 =) sine = kam > 2 Y"(m2) = - 37 x -1 <0 (Maximna). y"( 3%)= -12 x64) - 130 (Minima). 1.7(0) = 12 y(2-) = 2*+12 yf%)= +1 = 1, 7854 Totay (34) - ST-1 =1.3562 A) Looal maxima aut =) (0.7854, 17854)-(,5+) A) Local mimina at =) (2.3562, 1,3562)=(2, 25-1) A) Absolute maxima at => (27, 2x+52). A) Absolute minima at -> (3, 3-1) OS 212 : y" = 0 3 * = 72, 37/2 A) Inflection point at (72,7) ; (376,377)