Key to Math 336 Old Test 1


1. Direct substitution

2. x^{-3} & x^{2/5}

3. 7 or 7 +1/(e^{-5x}+C)^{1/3}

4. x^5 y^3 +e^x +sin y =C

5. No. The uniqueness part of the BEUT does not apply,
       since partial (3y^{2/3}) /(partial y) =... is not
       continuous near x=0 & y=0.

6. z(x) =(x^3 +C x)^{1/5}

7. 820 (kgs)