Solution:
y = ∫2x dx = x^2 + C
∇f = (∂f/∂x)i + (∂f/∂y)j + (∂f/∂z)k = 2xi + 2yj + 2zk Solution: y = ∫2x dx = x^2 +
where C is the curve:
∫[C] (x^2 + y^2) ds = ∫[0,1] (t^2 + t^4) √(1 + 4t^2) dt Solution: y = ∫2x dx = x^2 +
∫(2x^2 + 3x - 1) dx = (2/3)x^3 + (3/2)x^2 - x + C Solution: y = ∫2x dx = x^2 +
from t = 0 to t = 1.