Calculus for Kinetic Modeling                                                  IA Worksheet 1 Computer Classwork
Name_______________________                                           Integrals, Area & Reversing D-Rules

IA Exercise 1.1 (To check your work use the Maple Interactive Text: IAWorksheet1-2.mws.)

STEP 1. Translate the integral notation into a derivative equation.
 
 
 
 

STEP 2. Guess h(x) by "reversing" the PowCR, and check.
 
 
 
 

STEP 3. If necessary, adjust your guess h(x) with a constant, and check.
 
 
 
 

STEP 4. Write the final answer using the integral notation.
 
 
 
 

IA Exercise 1.2 (To check your work use the Maple Interactive Text: IAWorksheet1-2.mws.)

STEP 1. Translate the integral notation into a derivative equation.
 
 
 
 

STEP 2. Guess h(x) by "reversing" the PowCR, and check.
 
 
 
 

STEP 3. If necessary, adjust your guess h(x) with a constant, and check.
 
 
 
 

STEP 4. Write the final answer using the integral notation.
 
 
 
 
 

IA Exercise 1.3 (To check your work use the Maple Interactive Text: IAWorksheet1-2.mws.)

STEP 1. Translate the integral notation into a derivative equation.
 
 
 
 

STEP 2. Guess h(x) by "reversing" the PowCR, and check.
 
 
 
 

STEP 3. If necessary, adjust your guess h(x) with a constant, and check.
 
 
 
 

STEP 4. Write the final answer using the integral notation.
 
 
 
 
 

IA Exercise 1.4 (To check your work use the Maple Interactive Text: IAWorksheet1-2.mws.)

STEP 1. Translate the integral notation into a derivative equation.
 
 
 
 

STEP 2. Guess h(x) by "reversing" the PowCR, and check.
 
 
 
 

STEP 3. If necessary, adjust your guess h(x) with a constant, and check.
 
 
 
 

STEP 4. Write the final answer using the integral notation.
 
 
 
 
 

IA Exercise 1.5 (To check your work use the Maple Interactive Text: IAWorksheet1-2.mws.)

STEP 1. Translate the integral notation into a derivative equation.
 
 
 
 

STEP 2. Guess h(x) by "reversing" thePowCR, and check.
 
 
 
 

STEP 3. If necessary, adjust your guess h(x) with a constant, and check.
 
 
 
 

STEP 4. Write the final answer using the integral notation.
 
 
 
 
 

IA Exercise 1.6 (To check your work use the Maple Interactive Text: IAWorksheet1-2.mws.)

STEP 1. Translate the integral notation into a derivative equation.
 
 
 
 

STEP 2. Guess h(x) by "reversing" thePowCR, and check.
 
 
 
 

STEP 3. If necessary, adjust your guess h(x) with a constant, and check.
 
 
 
 

STEP 4. Write the final answer using the integral notation.
 
 
 
 

IA Exercise 1.7 (To check your work use the Maple Interactive Text: IAWorksheet1-2.mws.)

STEP 1. Translate the integral notation into a derivative equation.
 
 
 
 

STEP 2. Guess h(x) by "reversing" theExpCR, and check.
 
 
 
 

STEP 3. If necessary, adjust your guess h(x) with a constant, and check.
 
 
 
 

STEP 4. Write the final answer using the integral notation.
 
 
 
 

IA Exercise 1.8 (To check your work use the Maple Interactive Text: IAWorksheet1-2.mws.)

STEP 1. Translate the integral notation into a derivative equation.
 
 
 
 

STEP 2. Guess h(x) by "reversing" theExpCR, and check.
 
 
 
 

STEP 3. If necessary, adjust your guess h(x) with a constant, and check.
 
 
 
 

STEP 4. Write the final answer using the integral notation.
 
 
 
 

IA Exercise 1.9 (To check your work use the Maple Interactive Text: IAWorksheet1-2.mws.)

STEP 1. Translate the integral notation into a derivative equation.
 
 
 
 

STEP 2. Guess h(x) by "reversing" theExpCR, and check.
 
 
 
 

STEP 3. If necessary, adjust your guess h(x) with a constant, and check.
 
 
 
 

STEP 4. Write the final answer using the integral notation.
 
 
 
 
 

IA Exercise 1.10 (To check your work use the Maple Interactive Text: IAWorksheet1-2.mws.)

STEP 1. Translate the integral notation into a derivative equation.
 
 
 
 

STEP 2. Guess h(x) by "reversing" theExpCR, and check.
 
 
 
 

STEP 3. If necessary, adjust your guess h(x) with a constant, and check.
 
 
 
 

STEP 4. Write the final answer using the integral notation.
 
 
 
 
 

IA Exercise 1.11 (To check your work use the Maple Interactive Text: IAWorksheet1-2.mws.)

STEP 1. Translate the integral notation into a derivative equation.
 
 
 
 

STEP 2. Guess h(x) by "reversing" theLnCR, and check.
 
 
 
 

STEP 3. If necessary, adjust your guess h(x) with a constant, and check.
 
 
 
 

STEP 4. Write the final answer using the integral notation.
 
 
 
 

IA Exercise 1.12 (To check your work use the Maple Interactive Text: IAWorksheet1-2.mws.)

STEP 1. Translate the integral notation into a derivative equation.
 
 
 
 

STEP 2. Guess h(x) by "reversing" theLnCR, and check.
 
 
 
 

STEP 3. If necessary, adjust your guess h(x) with a constant, and check.
 
 
 
 

STEP 4. Write the final answer using the integral notation.
 
 
 
 

IA Exercise 1.13 (To check your work use the Maple Interactive Text: IAWorksheet1-2.mws.)

STEP 1. Translate the integral notation into a derivative equation.
 
 
 
 

STEP 2. Guess h(x) by "reversing" theLnCR, and check.
 
 
 
 

STEP 3. If necessary, adjust your guess h(x) with a constant, and check.
 
 
 
 

STEP 4. Write the final answer using the integral notation.
 
 
 
 
 

IA Exercise 1.14 (To check your work use the Maple Interactive Text: IAWorksheet1-2.mws.)

STEP 1. Translate the integral notation into a derivative equation.
 
 
 
 

STEP 2. Guess h(x) by "reversing" theLnCR, and check.
 
 
 
 

STEP 3. If necessary, adjust your guess h(x) with a constant, and check.
 
 
 
 

STEP 4. Write the final answer using the integral notation.