I need help with this FRQ. Would you please solve this question and show the way how you solved it?

A calculator is allowed on this question. 15 minutes 0 5 10 15 MU) Degrees 986 980 971 925 Fahrenheit A blacksmith is constructing a sword and is working with a new metal. The process requires the metal be heated to a temperature of 986 degrees Fahrenheit before allowing it to air-cool for 25 minutes. The temperature of the metal as it aircools. can be modeled by a twice-differentiable function M (t) Values of M(t).for0 g t g 25. are provided by the table above. a. Is there a value 11 between 0 and 25. where M'(t) = 5? Justify your answer. b. Using correct units, use the table to calculate a reasonable value for M'( 17) and interpret its meaning in context. c. Using a trapezoidal sum with four sub- 25 intervals, estimate M(t)dt. 5 d. After allowing the metal to air-cool for 25 minutes, the blacksmith must submerge the hot metal into cold water and allow it to cool for 5 minutes. For 26 S t g 30. the instantaneous rate ofchange of the metal's temperature can be modeled by: 0'6) = 2ooosin(a:)e-'lM If the temperature of the metal is 863 degrees at t = 26, nd the temperature of the metal at t = 27