DM Exercise 1.1 (To check your work use the Maple Interactive Text: DM-CCW1.mws.)

Suppose you have 120 mg of a drug and you want a profile with total dissolution in 2 hours. For your first model use: n = 1.

(a) Find the derivative of drug_d(t) (which D-Rules do you need here?), and a formula for t_peak by setting this derivative equal to zero and solving for t.
 
 
 
 
 
 
 
 

(b) Using (a) above, solve for the values of k and c, and write out the final form of drug_d(t). Check your answers with those on the plot below.
 
 

DM Exercise 1.2 (To check your work use the Maple Interactive Text: DM-CCW1.mws.)

Suppose you have 120 mg of a drug and you want a profile with total dissolution in 2 hours. For your second model use: n = 2.

(a) Find the derivative of drug_d(t) (which D-Rules do you need here?), and a formula for t_peak by setting this derivative equal to zero and solving for t.
 
 
 
 
 
 
 
 

(b) Using (a) above, solve for the values of k and c, and write out the final form of drug_d(t). Check your answers with those on the plot below.
 
 

DM Exercise 1.3 (To check your work use the Maple Interactive Text: DM-CCW1.mws.)

Suppose you have 120 mg of a drug and you want a profile with total dissolution in 2 hours. For your third model use: n = 3.

(a) Find the derivative of drug_d(t) (which D-Rules do you need here?), and a formula for t_peak by setting this derivative equal to zero and solving for t.
 
 
 
 
 
 
 
 

(b) Using (a) above, solve for the values of k and c, and write out the final form of drug_d(t). Check your answers with those on the plot below.
 
 

DM Exercise 2.1 (To check your work use the Maple Interactive Text: DM-CCW1.mws.)

Suppose you have 250 mg of a drug and you want a profile with total dissolution in 10 hours. For your first model use: n = 1.

(a) Find the derivative of drug_d(t) (which D-Rules do you need here?), and a formula for t_peak by setting this derivative equal to zero and solving for t.
 
 
 
 
 
 
 
 

(b) Using (a) above, solve for the values of k and c, and write out the final form of drug_d(t). Check your answers with those on the plot below.
 
 

DM Exercise 2.2 (To check your work use the Maple Interactive Text: DM-CCW1.mws.)

Suppose you have 250 mg of a drug and you want a profile with total dissolution in 10 hours. For your second model use: n = 2.

(a) Find the derivative of drug_d(t) (which D-Rules do you need here?), and a formula for t_peak by setting this derivative equal to zero and solving for t.
 
 
 
 
 
 
 
 

(b) Using (a) above, solve for the values of k and c, and write out the final form of drug_d(t). Check your answers with those on the plot below.
 
 

DM Exercise 2.3 (To check your work use the Maple Interactive Text: DM-CCW1.mws.)

Suppose you have 250 mg of a drug and you want a profile with total dissolution in 10 hours. For your third model use: n = 3.

(a) Find the derivative of drug_d(t) (which D-Rules do you need here?), and a formula for t_peak by setting this derivative equal to zero and solving for t.
 
 
 
 
 
 
 
 

(b) Using (a) above, solve for the values of k and c, and write out the final form of drug_d(t). Check your answers with those on the plot below.