please see attachment***

 

 

1. Two trains leave the railroad station at 12:15pm. The first train travels along a straight track at 83 mph. The second train travels at 68 mph along another straight track that makes an angle of 123.5° with the first track. At what time are the trains 525 miles apart? Round your answer to the nearest minute. 

 

 

2. Suppose that u 12 , uu= and v 12 , vv= are vectors such that |u+v|2=|u|2+|v|2. Prove that u and v are orthogonal. 

 

 

3. Analytically find the exact cube roots of the following complex number. No decimals. Use radians and be clear. 

 

  ( ) 421i −−

 

 

 

4. Convert 2 8 16 0 yx −−= to polar form. Write r in terms of θ and simplify as much as possible. 

 

 

5. Sketch the curve represented by the parametric equations (indicate the direction of the curve). Then, without using inverse trig functions, eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve. 

 

  

cos 2sin2 xt yt 

• 1503077418-Math 142 HW 4 Spring 2017.pdf

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Status NEW Posted 18 Aug 2017 05:08 PM My Price 10.00

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