Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Community
Ask the community for help and clear up your study doubts
Discover the best universities in your country according to Docsity users
Free resources
Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors
Solutions to exam 1 for math 232, including matching equations to their corresponding graphs, finding cross-sections of functions, determining a linear function's value given specific x and y coordinates, discovering a formula for a function with spherical level surfaces, describing level surfaces, calculating vector quantities, finding the normal vector to a plane, determining the angle between two planes, and identifying the function that produces a given contour plot.
Typology: Exams
1 / 6
This page cannot be seen from the preview
Don't miss anything!
Math 232
June 30, 2005
Name
(โx^2 โy^2 ) , f (x, y) = x
3 โ sin (y) and
f (x, y) = x
2
2
(^0) y 2
4
10
2
x
20
0
4
30
40
50
(^0) y
1
3
2 2
x
1
(^0) -
3
0
10
20
-1^ - -3 (^) -
-0.
-1 0 x
-0.
(^0 ) y
-0.
1 2 2
-0.
3 3
0
-2^ -
1
0
2
4
y
0
2 (^1 2 )
3
3
(a) Find the cross-section of f for x = 1 and sketch the graph on the following axes.
1
2
3
4
5
-5 -4 -3 -2 -1 1 2 3 4 5
(b) Find the cross-section of f for y = โ1 and sketch the graph on the following axes.
1
2
3
4
5
-5 -4 -3 -2 -1 1 2 3 4 5
v = ใ 2 , โ 1 , 3 ใ and
w = ใ 0 , โ 1 , 1 ใ. Find each of the following quantities.
(a)
v +
w
(b) (
v ยท
w )
w
(c) 3
v โ 2
w
(d) (
v + 4
w ) ร
v
that plane.
at 10 km/hr. What is the vector that represents that actual movement of the boat? By what
angle does the current push the boat off of its due east course?
