Semeser 1 Review - Multivariable Calculus

Find a vector function the represents the intersection of x² + y² = 16 & x + z = 5.

The radius of the osculating circle is K.

Saller Trivia: Ms. Saller doesn't coach anymore, but she used to coach...

Saller Trivia: Ms. Saller's favorite movie is:

Find the length (Calc OK)

Find the angle between a = <1, 1, -2> and b = <3, -2, 1>. Round to the nearest degree.

Find the limit.

Use right hand rule to find: k x i

Saller Trivia: Ms. Saller's favorite book ever is...

Round K to 3 decimals.

Saller Trivia: Ms. Saller is looking forward to ______________ over winter break.

Find the area of a triangle formed by A(1,0,0), B(2,0,-1) and C(1,4,3). Round to 3 decimals.

A(1,0,1), B(2,3,0),C(-1,1,4), & D(0,3,2). Find the volume of the parallelepiped with adj edges AB,AC,AD.

Find the mag. of the torque when a 50-N force is applied to a 40 cm wrench at an angle of 30 deg.

A particle starts at origin with v(0)=<1,-1,3> and a(t)=<6t,12t²,-6t>. Find r(t).