Application of derivative packet

First half  1-12 is due on 10-30-14 next Thursday

Second half 13-23 is due on 10-31-14 next Friday

Quiz Tues oct 28th and Wed oct 29th

Quiz Expectation Sheet Calculus BC (Tue-Weds Quiz)

Non-Calculator:

1.       Find the first derivative of a parametric equation evaluated at a value of t or a point (2 of these one will be trig):  Pg 668  #1-10 first derivative part ___________________

2.      Find the derivative of a polar equation and evaluate at a value of theta:  Pg 678 #43-44  ______________

3.      Find the limit of a vector valued function (2 of these):  Pg 776  #57-62  but harder ones using more indeterminate limits  _________________

4.      L’hopitals rule problem of the form 1 raised to the infinity:  Pg  530  #36, 39  and examples in your notes and wu  ______________

5.      Find the derivative or second derivative of a vector valued function:  Pg  783  #11-18, 19b, 20b­­­­­­­­­­­­­   __________________

Calculator

1.       Find points of horizontal and vertical tangency to a parametric graph: 

Pg 668  #19-25_________

2.      Find the equation of a tangent line to a parametric graph at a value of t or at a point:  Pg668  #13-16 part C  ____________

3.      Find points of horizontal or vertical tangency to a polar graph:  Pg 679  #49,51  ____________

4.      Find the domain of a vector valued function (2 of these):  Pg 774  #1-6  _______________

5.      Graph a vector valued I and j function:  Pg 775  #23,24  _________________

6.      Find the second derivative of a parametric equation:  Pg 668 #1-10  _________________

Vector Valued Derivatives:

Pg 783-784

# 11, 13, 14, 16, 18, 19(a,b, and d), 20(a,b, and d), 23, 24

Probably 20-25 min of work

Due Date:  10-22-14

Hwk vector valued functions

Pg 774-775


#1, 3, 5, 6, 10, 11, 17-20, 23, 24, 39, 57, 59, 60, 62

Probably 30 min of work



Due Date:  10-21-14

Polar Derivative Hwk

Pg 678-679

#43, 45-49, 51, 54, 58, 61

Due date: 10-16-14 (Thursday)

Probably 45-50 min of work

Hwk Parametric Derivatives

Pg  668-669 


#2, 4 (for this problem do it at indicated t as well as at (0,-2)), 6, 7, 8,10, 12, 15 (a,b,c), 16 (a,b,c), 18, 20, 21, 24, 25, 27


Probably around 50 min to 60 min of work

Due Date: Friday,  October 10th

Quiz expectations for 9/23 and 9/24

AP Calc (BC) Quiz Guidelines

No calculator part (Tue 9/23/14  )

1.  2 or 3 plotting of polar points  (PG 678  #1-4)  ______________

2.  L’Hopitals Rule

     A)  2 or 3 indeterminate form 0/0 or infinity/infinity (could involve trig) (PG 530   #11,16,18,19,23,26)  _____________

     B)  1 indeterminate form infinity minus infinity (PG 530  #41-44) _____

    

3.  1 convert parametric eq. to rectangular equation  (PG 659 #3-10 last part of directions)  __________

4.  1 convert parametric equation using trig identity into ellipse or hyperbola and provide sketch (PG 659 #15,16,19,21,23) ____________

5.  1 graph parametric equation by hand   (PG 659 #3-10 first part of directions) ______________

6.  1 graph polar equation by hand (making a r, theta) chart might only graph it from 0 to pie to save time (PG 679 #59, 63, 72) _____________

7.  2 multiple choice style problems identify the polar graph based on the equation (No Problem like this in the homework, we did a warm-up with three choices and a limacon with 5 on the board)  ___________

8. One given initial point and terminal point find the component form, graph, and magnitude of a vector  (PG 708  #5-11, but add magnitude) ____________

Calculator part (Weds  9/24/14)

1.  2 or 3 vector operation problems in component form or unit vector form  (PG 709  #19-22) _____________

2.  3 or 4 convert polar point to rectangular and rectangular to polar.  (PG 678 #7-18) ______________

3.  1 convert polar equation into rectangular  (PG 678 #29-36) ________________

4.  1 convert rectangular equation into polar  (PG 678 #21-28) ________________

5.  1 unit vector form operation problem  (Like last problem in notes before dot products) _______________

6.  1 graph parametric and 1 graph polar using calculator  (Given parametric or polar eq. sketch shape onto graph paper) ________________

7.  1 find the angle between two vectors (Pg 727  #11, 13)   ______________