course Mth 174
1.y= (1/4)x^4 + 5x + C2.y= (1/9)x^9 + ln(x)
3. W= 4t^(3/2)
4. r= -3cos(p)
general solutions include the integration constant
6. -12 = C
7. 15 = C
8. 50 = C
10. 10 = C
the solution to an equation consists of the function, including the value of the integration constant. For example the solution to #6 is y = 2 x^3 + 2 x^2 + c, and y(2) = 10 tells you that y = 2 * 2^3 + 2 * 2^2 + c = 10, so I believe that c = -14. The solution would be y = 2 x^3 + 2 x - 14.
11. a. a(t)= -9.8 m/sec^2
b. 106.6 m ; 4.08 sec
c. 8.75 sec