



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
Material Type: Exam; Class: CALCULUS III; Subject: MATHEMATICS; University: Iowa State University; Term: Unknown 1989;
Typology: Exams
1 / 5
This page cannot be seen from the preview
Don't miss anything!
Allen – Math 265 B2 Practice Exam #1 Name:
that w~ = a~u + b~v.
(a) Compute the angle (in degrees) between ~u and ~v.
(b) Find the volume of the parallelepiped determined by ~u, ~v, and w~.
to ~v. Find m~ and ~n.
2
2
2 − 24 x + 56y − 40 z − 197 = 0.
i +
1 − t
j.
(a) Find the Cartesian equation for the path of the particle.
(b) Assuming that P starts moving at time t = 0, how far will it have traveled at t = 1/2 seconds?
◦ above the horizontal,
and it shoots a projectile at the speed of 25 feet per second.
(a) Find the initial velocity vector, ~v(0) of the projectile.
(b) Using part(a), the fact that ~a(t) = − 32
j, and assuming ~r(0) = 176
j, find the velocity, ~v(t), and the
position, ~r(t), of the projectile for any time t.
(c) What is the maximum height of the projectile?
(d) At what time does the projectile hit the ground?
(e) With what speed does the projectile come smashing into the basin below the cliff?
j +
t
k.
(a) Find
(b) Find
(c) Find the curvature, κ at t = 1.
(d) Find the binormal