The number of salmon swimming upstream to spawn is approximated by the following function, where x represents the temperature of the water in degrees Celsius. Find the water temperature that produces the maximum number of salmon swimming upstream. " S(x) = -x³+4x²+ +405x +4971; (6 ≤x≤20)

Graph the function: if -102 -3

7. DETAILS POOLELINALG4 3.5.035. Give the rank and the nullity of the matrix. 20 -2 A = rank(A) = nullity(A) = Need Help? Read It 8. . DETAILS POOLELINALG4 3.5.042. If A is a 4 x 2 matrix, what are the possible values of nullity(A)? (Enter your answers as a comma-separated list.) nullity(A) = Need Help? Read It 9. DETAILS POOLELINALG4 3.5.041. If A is a 3 x 5 matrix, what are the possible values of nullity(A)? (Enter your answers as a comma-separated list.) nullity(A) = Need Help? Read It 10 DETAILS POOLELINALG4 3.5.044. Find all possible values of rank(A) as a varies. (Enter your answers as a comma-separated list.) a 2 -1 A = 3 3 -2 -2 -1 a rank(A) = Need Help? Read It

The number of pet dogs in the United States can be represented as  p(t) million where t is the number of years since 2003.† (a) Write a sentence of interpretation for  p(0) = 65.2. In the year  , there were           million pet dogs in the United States. (b) Write the function notation for the statement "There were 66.9 million pet dogs in the United States in 2009." p(      )=    ?