Math 137 Sample problems for Test I 1. The vector a starts from the point (1, 1, 1) and end at (2, 2, 2). The vector b starts from the point (1, 2, 3) and end at (2, 3, 4). Find a. Are vectors a and b dierent? 2. Given a = (1, 1, 2) and b = (2, 3, 4), nd
Math 137 Sample problems for Test I 1. The vector a starts from the point (1, 1, 1) and end at (2, 2, 2). The vector b starts from the point (1, 2, 3) and end at (2, 3, 4). Find a. Are vectors a and b dierent? 2. Given a = (1, 1, 2) and b = (2, 3, 4), nd
Math 137 Sample Test II 1. Consider the function w=f a) Show that xwx + ywy = 2w 2. Compute wxx + wyy where w = f ( x2 + y 2 ). 3A A bird is ying in R3 . The temperature at the point (x, y, z ) is T (x, y, z ) = x y + z 2 . Now the bird is at the point (1
Name: Math 137 Sample Test III
Score:
1. (10pts) Find the volume under the surface x + y + z = 10 and over the region D bounded by y = 0 and y = x3 , 0 x 1. 2. (20pts) Compute the integral
1 1 x 2
dx
1 0
dyx9 ln(y 5 + 1).
3.(20pts) Compute the integral (x
Name: Math 137 Sample Test III
Score:
1. (10pts) Find the volume under the surface x + y + z = 10 and over the region D bounded by y = 0 and y = x3 , 0 x 1. 2. (20pts) Compute the integral
1 1 x 2
dx
1 0
dyx9 ln(y 5 + 1).
3.(20pts) Compute the integral (x
Math 137 Homework Assignments Problems are automatically assigned after the section is nished. Homework will be collected on every Tue. Stared problems are the minimum of what one should do. 11.1. 3*, 7*, 11*, 15. 11.2. 1, 3*, 7*, 11*, 17*, 22, 11.3. 1, 3
Math 137 Homework Assignments Problems are automatically assigned after the section is nished. Homework will be collected on every Tue. Stared problems are the minimum of what one should do. 11.1. 3*, 7*, 11*, 15. 11.2. 1, 3*, 7*, 11*, 17*, 22, 11.3. 1, 3
Math 137 Homework Assignments Problems are automatically assigned after the section is nished. Homework will be collected on every Tue. Stared problems are the minimum of what one should do. 11.1. 3*, 7*, 11*, 15. 11.2. 1, 3*, 7*, 11*, 17*, 22, 11.3. 1, 3
Math 137 Homework Assignments Problems are automatically assigned after the section is nished. Homework will be collected on every Tue. Stared problems are the minimum of what one should do. 11.1. 3*, 7*, 11*, 15. 11.2. 1, 3*, 7*, 11*, 17*, 22, 11.3. 1, 3
Math 137 Homework Assignments Problems are automatically assigned after the section is nished. Homework will be collected on every Tue. Stared problems are the minimum of what one should do. 11.1. 3*, 7*, 11*, 15. 11.2. 1, 3*, 7*, 11*, 17*, 22, 11.3. 1, 3
Math 137 Homework Assignments Problems are automatically assigned after the section is nished. Homework will be collected on every Tue. Stared problems are the minimum of what one should do. 11.1. 3*, 7*, 11*, 15. 11.2. 1, 3*, 7*, 11*, 17*, 22, 11.3. 1, 3
Math 137 Homework Assignments Problems are automatically assigned after the section is nished. Homework will be collected on every Tue. Stared problems are the minimum of what one should do. 11.1. 3*, 7*, 11*, 15. 11.2. 1, 3*, 7*, 11*, 17*, 22, 11.3. 1, 3
Math 137 Homework Assignments Problems are automatically assigned after the section is nished. Homework will be collected on every Tue. Stared problems are the minimum of what one should do. 11.1. 3*, 7*, 11*, 15. 11.2. 1, 3*, 7*, 11*, 17*, 22, 11.3. 1, 3
Math 137 Homework Assignments Problems are automatically assigned after the section is nished. Homework will be collected on every Tue. Stared problems are the minimum of what one should do. 11.1. 3*, 7*, 11*, 15. 11.2. 1, 3*, 7*, 11*, 17*, 22, 11.3. 1, 3
Math 137 Homework Assignments Problems are automatically assigned after the section is nished. Homework will be collected on every Tue. Stared problems are the minimum of what one should do. 11.1. 3*, 7*, 11*, 15. 11.2. 1, 3*, 7*, 11*, 17*, 22, 11.3. 1, 3
Math 137 Homework Assignments Problems are automatically assigned after the section is nished. Homework will be collected on every Tue. Stared problems are the minimum of what one should do. 11.1. 3*, 7*, 11*, 15. 11.2. 1, 3*, 7*, 11*, 17*, 22, 11.3. 1, 3
Math 137 Homework Assignments Problems are automatically assigned after the section is nished. Homework will be collected on every Tue. Stared problems are the minimum of what one should do. 11.1. 3*, 7*, 11*, 15. 11.2. 1, 3*, 7*, 11*, 17*, 22, 11.3. 1, 3
Math 137 Homework Assignments Problems are automatically assigned after the section is nished. Homework will be collected on every Tue. Stared problems are the minimum of what one should do. 11.1. 3*, 7*, 11*, 15. 11.2.
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