CALCULUS III

June 4, 2017, 9:47 p.m.

EXAM I:
Your first exam will be MONDAY JUNE 5.



June 5, 2017, 7:42 p.m.

Homework:
(12.2) 9-17 odd, 39, 41 (12.3) 1-17 odd, 25, 27 (12.4) 7-11 odd, 21-27 odd, 37-41 odd



June 5, 2017, 7:42 p.m.

TAKE HOME TEST:
Since nobody told WCC that photo copying doesn't require the internet, we decided to have a take home test (woo woo!). Also, since I managed to lose the test I am just going to type it out here as I rewrite it :(. There will be a total of 9 questions. Check back here because I haven't finished yet!!!! EDIT: finished!

Problem 1: Let denote a plane containing the line given by x=y=z. Also suppose that the point Q=(0,1,2) is on the plane . Find an equation for the plane .

Problem 2: Find the angle θ between the vectors v=<1,0,1> and w=<0,1,0>.

Problem 3: Find the area of the triangle T with vertices (1,0,0), (1,1,0), and (1,1,1).

Problem 4: Find the area of the parallelogram W spanned by the vectors v=<1,0,1> and w=<0,1,1>.

Problem 5: Find the distance between the point P=(1,2,3) and the point Q=(2,3,4).

Problem 6: Let r(t) = < cos(t), sin(t), 2t > be a vector valued function defined for all real numbers t.
Find the following:
1) r'(t)
2) r''(t)
3) r'(t) • r''(t)
4) r'(t) ⨯ r''(t)

Problem 7: Given that and Σ are two planes with normal lines n and m respectively, and that the two planes intersect at the point Q=(1,2,3), find the line of intersection of plane and Σ.

Problem 8: Solve
x2exdx

Problem 9:
a) If a particle follows the path given by r(t)=<1, 2t, 3t2>, find the velocity of the partical at time t=6.
b) Find the total distance travelled after t=6 seconds, assuming the particle started at time t=0.



June 14, 2017, 8:42 p.m.

Homework:
(13.1) 3, 5, 19-29 odd, 33-39 odd, 45-48 all, 49-55 odd



June 14, 2017, 8:46 p.m.

Homework last time:
(12.5) 1-35 odd



June 19, 2017, 7:59 p.m.

Homework:
(13.3) 125, (13.5) 11 - 35 odd, 37-40, 51



June 21, 2017, 6:03 p.m.

Test 2:
Test 2



June 26, 2017, 8:47 p.m.

Homework:
(13.7) 5, 7, 9-19 odd (13.8) 1-29 odd



June 28, 2017, 8:30 p.m.

Homework:
(14.2) 1-19 odd



July 10, 2017, 7:31 p.m.

Homework:

Monday July 3

(14.3) 1-33 odd

Wednesday July 5

(14.5) 1-27 odd




July 10, 2017, 8:03 p.m.

Homework:
(13.10) 1-8 (did 7 in class), 9-12, 13, 15, 17-25 odd, 42



July 17, 2017, 3:28 p.m.

EXAM:
Test 3

Exam is due next Monday

On the exam, problem 5 there is an error. The limits are incorrect. I t should be y=2y=0x=0x=y(sin(y2))dxdy



July 17, 2017, 8:11 p.m.

Homework:
(15.1) 15-41 odd page 1049 (14.7) 9-21 odd page 1025



July 26, 2017, 12:44 p.m.

Final Exam:
Here is the final exam. final No class Monday. Email final to me by Monday.