Wednesday 12/7/11: Study section 4.2, i.e., read & reread the section until you have understood the main concepts, theorems, vocabulary, and symbolic representations. Then rework the sample (worked out) examples in the section. Finally, do exercises on p. 261 #'s 1 thru 9.

Tuesday 12/6/11:Evaluate

(1) Integral (x/(sqrt(x+3)) dx.

(2) Integral (x^2 sqrt(x+4)) dx.

(3) Integral (x^2 sqrt(1-8x)) dx.

(4) Integral (-1 to 2)(x^2/(sqrtx+2)) dx.

(5) Integral (0 to 1) (sqrt (x)/(sqrt(1+sqrt (x))) dx.

Monday 12/5/11: Evaluate

(6) Integral(4 to 7) (Abs(x-5)) dx.

(7) Integral(2 to 1)((x+3)^2(x+1)) dx.

(8) Integral(pi/2 to pi)(pi sinx -2x+5/x^2+2 pi) dx.

(9) Integral(1 to 0)((x-2)/(x^2-4x-1) dx.

(10) Integral(1 to 4)(1/(sqrt(x)(1+sqrt(x))) dx

Thursday 12/1/11: Evaluate

(1) Integral(0 to pi) (sinx e^cosx) dx.

(2) Integral(0 to 1)((e^tany)/(cos^2(y))) dy.

(3) Integral(0 to 1)(1/e^(x/2)) dx.

(4) Integral(0 to 1)(tanx/cos^3(x)) dx.

(5) Integral(1 to sqrt(3))(6/x^2) dx.

Wednesday 11/30/11: Evaluate

(1) Integral(1 to 4) ((1+sqrt(u))^(1/2)/sqrt(u)) du.

Wednesday 11/16/11: Find the integral (1) Integral ((x^2-1)/x^(3/2))dx. (2) Integral (3x^2 -1)^2)dx (3) Integral(cuberoot(x)(1+2x^4))dx (4) Integral(cosx+2sinx)dx (5) Integral ((csc^2(x))/(cot^2(x)+1) )dx

Tuesday 11/14/11: Find the integral (1) Integral ((x^2-1)/x^(3/2))dx. (2) Integral (3x^2 -1)^2)dx (3) Integral(cuberoot(x)(1+2x^4))dx (4) Integral(cosx+2sinx)dx (5) Integral ((csc^2(x))/(cot^2(x)+1) )dx

Monday 11/14/11: Page 249 #'s 21, 23, 27, 31, 33.

Wednesday 11/9/11: Page 233 #'s 1, 3, 5. Plus

(a) Find a linear function that approximates f(x)=e^(-2x) around x=0. Use it to approximate sqrt(0.9).

(b) Find a linear function that approximates f(x)= sqrt(1-x) around x=0. Use it to approximate sqrt(0.9).

Wednesday 10/5/11: Page 155 #'s 107 thru 111 all. To be turned in on loose paper. Your solution must include an appropriate figure, the unknow with the retrictions, an equation, deriavtive of the equation, any computations, and final answer with the appropriate units. This assignment is worth 25 pts. The assignment is due Thursday 10/6/11 during class. Late work without an official excuse will not be accepted. Please staple your work together. Neatness counts!

Tuesday 10/4/11: Page 150 #'s 29, 32, 33.

Monday 10/3/11:Solve the following: Solve the following:

(1) A circular oil slick of uniform thickness is caused by a spill of 1 m^3 of oil. The thickness of the oil slick is decreasing at the rate of 0.1 cm/h. At what rate is the radius of the slick increasing when the radius is 8 m?

(2) Sand is being poured from a dump truck at the rate of 10 ft^3/sec.. The sand forms a conical pile whose height is always twice its radius. At what rate is the radius of the pile increasing when its height is 5 ft?

(3) A kite in the air at an altitude of 400 feet is being blown horizontally at the rate of 10 ft/sec away from the person holding the kite string at ground level. At what rate is the string payed out when 500 ft of string is already out?

Thursday 9/28/11: Solve the following: Solve the following:

(1) A circular oil slick of uniform thickness is caused by a spill of 1 m^3 of oil. The thickness of the oil slick is decreasing at the rate of 0.1 cm/h. At what rate is the radius of the slick increasing when the radius is 8 m?

(2) Sand is being poured from a dump truck at the rate of 10 ft^3/sec.. The sand forms a conical pile whose height is always twice its radius. At what rate is the radius of the pile increasing when its height is 5 ft?

(3) A kite in the air at an altitude of 400 feet is being blown horizontally at the rate of 10 ft/sec away from the person holding the kite string at ground level. At what rate is the string payed out when 500 ft of string is already out?

Monday 9/20/11: Study section 2.5 (p. 137), i.e., read & reread the section until you have undertood the main concepts, theorems, vocabulary, and symbolic representations in the section. Then rework the sample (worked out) examples in the section.

Tuesday 8/16/11: Study section 1.3, i.e., read & reread the section until you have understood the main concepts, theorems, vocabulary, and symbolic representations. Then rework the sample (worked out) examples in the section. Finally, do exercises on p. 63 #'s 1, 7, 25, 33, & 41. Do not use a graphing calc.

Monday 8/15/11: (1) Use the values x= 2.9, 2.99, 2.999, 3.01, 3.1 to complete a limit table for (lim x--> 3) ([1/(x+1)]-(1/4))/(x-3). Then find the limit.

Find the limit

(2) (lim x---> 3)1/(x-3)

(3) (lim x-->5) ABS(x-5)/(x-5)

(4) (lim x-->1)(x^2 +2 if & 1 if x=1)

(5) (lim x--> 2) (-1)

Thursday 8/11/11: Study section P.2 & P.3, i.e., read & reread the section until you have understood the main concepts, theorems, vocabulary, and symbolic representations. Then rework the sample (worked out) examples in the section. Finally, do exercises on p. 29 #'s 15, 17, 27, 55, & 72. Do not use a graphing calc.

Wednesday 8/10/11: Study section P.1, i.e., read & reread the section until you have understood the main concepts, theorems, vocabulary, and symbolic representations. Then rework the sample (worked out) examples in the section. Finally, do exercises on p. 8 #'s 19, 23, 32, 34, & 67. Do not use a graphing calc.

Tuesday 4/19/11: Do not Complete slope field work sheet; instead on p. 330 do #'s 41 & 42, on p. 393 do #'s 51 & 52; and on p. 378 do #'s 87, 88, 89, 90, 97-100

Monday 4/18/11: Find an equation for y in terms of x

(1) dy/dx=1/(y+x^y) & y(0)=2.

(2) dy/dx = e^x/y^2 & y(0)=1.

(3) dy/dx = sin x/cos y & y(0)=(3pi)/2.

(4) Sketch the slope field for dy/dx= - x/y.

(5) Sketch the slope field for dy/dx= - xy.

Wednesday 4/13/11: Click here to open homework exercises.

Thursday 4/7/11: In the booklet, do the #'s 11-20 on test 4.

Wednesday 4/6/11: In the booklet, do the 1st 10 problems on the next test.

Tuesday 4/5/11: Finish Test 3 in booklet.

Monday 4/4/11: In the Booklet, do #'s 11-35 in test 3

Thursday 3/31/11: Do 3 Hand out problems. Study for tomorrow's test.

Wednesday 3/30/11: In the Booklet, do #'s 1-10 in test 3

Tuesday 3/29/11: In the Booklet, do pages. 27-31 (except the exercises done in class).

Monday 3/28/11: In the Booklet, do pages. 22-25

Tuesday: In the Packet do 1, 2; 3 questions in constructed response to be turned in.

Monday 3/21/11: Do #'s 33 - 39 in packet.

Thursday 3/17/11: Review for test.

Wednesday 3/16/11: Do #'s 29 thru 33 in packet.

Tuesday 3/15/11: Do #'s 16 thru 21 in packet.

Monday 3/14/11: Do #'s 8 thru 15 in packet.

Thursday 3/10/11: Study for tomorrow's test.

Wednesday 3/9/11: Do Part B in packet (p. 524-525) on seperate sheet of paper to be turned in at the beginning of tomorrow's class. No work ==> no credit.

Thursday 3/3/11: Prepare for tomorrow's test.

Wednesday 3/2/11: In the packet page- 521-522, do #'s 37 thru 45. Plus, If you wish to earn extra credit, do page 523 #'s 1, 2, 3.

Tuesday 3/1/11: In the packet page- 517-518, do #'s 24 thru 28. Plus, do #'s 29-36 all on pages 519-520.

Monday 2/28/11: Complete pages 3 & 4 of new packet. 3 constructed response questions w calculator.

Thursday 2/23/11: Study for test.

Tuesday 2/22/11: Complete old packet and do 1st 2 pages of new packet.

Monday 2/21/11: Do pages 84-86 in packet. Test Friday-3 constructed response questions w/o calc.

Thursday 2/17/11: Do #'s 20-23 in packet. Test Friday-3 constructed response questions w. calc.

Wednesday 2/16/11: Do #'s 7-16 in packet. Test Friday-3 constructed response questions w. calc.

Thursday 1/27/11: Do # 3 (to be turned in) in packet.

Wednesday 1/26/11: Do # 1 & 2 (to be turned in) in packet.

Monday 1/24/11: Do # 3 & 4 (to be turned in) in packet.

Wednesday 1/19/11: Prepare for test.

Tuesday 1/18/11: Complete questions 3 & 4 in AP packet to bet turned in.

Thursday 1/13/11: Complete packet.

Wednesday 1/12/11: Do #'s 76-84 in packet.

Tuesday 1/11/11: Complete question # 5 & 6 in the constructed response packet to be turned in Wed. 1/12/11.

Monday 1/10/11: Turn in question #3 from packet.

Test Friday.

Thursday 12/9/10: On page 494, do #'s 12, 14,18, 20, 22.

Wednesday 12/8/10: Study section 7.2, i.e., read & reread the section until you have understood the main concepts, theorems, vocabulary, and symbolic representations. Then rework the sample (worked out) examples in the section. Finally, do exercises on p. 494 #'s 11 thru 19 odd.

Tuesday 12/7/10: Study section 7.1, i.e., read & reread the section until you have understood the main concepts, theorems, vocabulary, and symbolic representations. Then rework the sample (worked out) examples in the section. Finally, do exercises on p. 486 #'s 1 thru 5 all.

Monday 12/6/10: Study for test.

Thursday 12/2/10: Study pages 426-427 in section 6.3. On pages 430-431, do exercise # 58, 59, 60, 61; 62. Test on Tuesday 12/7/10.

Tuesday 11/30/10: In section 6.3 page 437 do exercises # 14, 16, 17, 21, 22

Monday 11/29/10: Study section 6.3, i.e., read & reread the section until you are sure that you understand the main concepts, any theorems, vocabulary, and symbolic representations. Then rework the sample (worked out) examples in the section. Finally, do exercises on p. 437 #'s 3, 4, 7, 11, 12.

Thursday 11/18/10: In section 6.2 page 428 do exercises # 25, 27, 29, 31, 33.

Wednesday 11/17/10: In section 6.2 page 428 do exercises # 12, 14, 16, 17, 18.

Tuesday 11/16/10: In section 6.2 page 428 do exercises # 9, 10, 11, 13, 15.

Monday 11/15/10: Study section 6.2, i.e., read & reread the section so that you will understand the main concepts, any theorems, vocabulary, and symbolic representations. Then work the sample worked out examples in the section. Finally, do exercises on p. 428 #'s 1, 2, 3, 4, 23.

Thursday 11/12/10: Prepare for tomorrow's test on chapter 4.

Wednesday 11/10/10: Do exercises on p. 418 #'s 24, 27, 35, 43, 47.

Tuesday 11/9/10: Do exercises on p. 418 #'s 6,18, 23, 28, 41.

Monday 11/8/10: Study section 6.1, i.e., read & reread the section so that you will understand the main concepts, any theorems, vocabulary, and symbolic representations. Then work the sample worked out examples in the section. Finally, do exercises on p. 418 #'s 5, 8, 15, 19, 21.

Thursday 11/4/10: PP. 284-287, do exercises # 52, 64, 77, 85, 89.

Wednesday 11/3/10: Study section 4.4, i.e., read & reread the section so that you will understand the main concepts, any theorems, vocabulary, and symbolic representations. Then work the sample worked out examples in the section. Finally, do exercises on p. 284 #'s 37, 43, 45, 51, 61.

Monday 11/1/10: Study section 4.3, i.e., read & reread the section so that you will understand the main concepts, any theorems, vocabulary, and symbolic representations. Then work the sample worked out examples in the section. Finally, do exercises on p. 272 #'s 1, 15, 45 a-d, 46 a-d; 67.

Thursday 10/27/10: Do exercises on page 263 #'s 48, 50, 52, 54, 56.

Wednesday 10/27/10: Do exercises on page 262 #'s 24, 25, 28, 29, 30.

Tuesday 10/26/10: Do exercises on page 261 #'s 8, 20, 38, 34, 44.

Monday 10/25/10: Study section 4.2, i.e., read & reread the section so that you will understand the main concepts, any theorems, vocabulary, and symbolic representations. Then work the sample worked out examples in the section. Finally, do exercises on p. 461#'s 3, 9, 17, 21, 23.

Monday 10/18/10: Do exercises on page 284 #'s 8, 18, 22, 24, 26.

Thursday 10/14/10: Study section 4.5 pages 288-293, i.e., read & reread, understand the main concepts, theory, symbolic representations, and work the sample examples in the section. Do exercises on page 297 #'s 10, 22, 30, 52, 62.

Wednesday 10/13/10: On page 249, do exercises #'s 7, 47, 51, 53, 61.

Tuesday 10/12/10: On page 249, do exercises 35, 37, 39, 41, 42.

Monday 10/11/10: Study section 4.1, i.e., read & reread, understand the main concepts, theory, symbolic representations, and work the sample examples in the section. Do exercises on 249 #'s 1,3, 5, 7, 9.

Tuesday 10/5/10

Approximate the following using Newton's Method.

(1) sqrt(5)

(2) Cubert(15)

(3) zeroes of f(x)=(1/2)x^4-3x-3

(4) zeroes of e^(-x^2)=x^2-x

(5) zeroes of x^3+3x^2+2x=10 in the [1,2]

Monday 10/4/10:

Study section 3.8 (p222). Do exercises p. 226 #'s 1, 5, 9, 12, 15.

Thursday 9/30/10: Do exercises on page 150 #'s 25, 27, 30, 31, 33

Wednesday 9/29/10:

STUDY section 2.6 p144-148. Do exercises on page 149 #'s 13, 15, 18, 19, 20

Study section 3.7 in the book. Do exercises on page 216. #'s 15, 17, 23, 29, 33.

Thursday 9/23/2010.

Finish wrksht

Wednesday 9/22/10.Use implicit differentiation to determine the derivative:

(1) sinx+cosy=sinxcosy

(2) y^5+x^2y^3=1+ye^(x^2)

(3)sqrt(x+y)+sqrt(xy)=6

(4)Find the equation of the tangent line to

x^(2/3) +y^(2/3) =4 at the point (-3sqrt(3),1)

(5) Show that the following curves are orthogonal (i.e. normal, perpendicular)

2x^2+y^2=3 & x=y^2.

Tuesday 9/21/10: Determine the derivative implicitly

(1) siny=x

(2) x=sec(1/y)

(3) 4sinxcosy=1

(4) Find d^2y/dx^2 if x^2y^2-2x=3

(5) Find the points at which the graph of the function 25x^2 + y^2-8x+4y+4=0 has vertical or horizontal asymptote.

Monday: 9/20/10: Redo test problems #3,4;5

Tuesday 9/15/10: Find the intervals of increase/decrease, local max/min, intervals of concavity up/down, & pts of inflection. Then use the information to graph the function.