{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# HW 4 - Math E-21a Fall 2009 HW#4 problems Problems to turn...

This preview shows pages 1–2. Sign up to view the full content.

Math E-21a – Fall 2009 – HW #4 problems Problems to turn in on Thurs, Oct 1: Note: Bold indicates vector quantities. Section 10.2 : 38. Prove formula 3 of Theorem 3:  () () d f tt f f t t dt  uu u where () f t is s scalar-valued function and t u is a vector-valued function. 46. If a curve in R 3 has the property that the position vector ( ) t r is always perpendicular to the tangent vector t r , show that the curve lies on a sphere with center at the origin. Section 10.3 : 2. Find the length of the curve 2 ,s in cos,cos s in , 0 t t t t t  r . 4. Find the length of the curve 3 2 2 () 12 8 3 , 0 1 t t t ri j k . Section 10.4 : 8. Find the velocity, acceleration, and speed of a particle with the given position function. Sketch the path of the particle and draw the velocity and acceleration vectors for the specified value of t : 2cos s in , 0 t t t  jk 12. Find the velocity, acceleration, and speed of a particle with the given position function: 2 s cos tttt j k 34. Find the tangential and normal components of the acceleration vector for the curve described by 2 3 ttt t   j k . [Note : These components (scalar projections) will be functions of t .] Section 10.5 :

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 4

HW 4 - Math E-21a Fall 2009 HW#4 problems Problems to turn...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online