Questions asked by chris b.

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• Find curl F for the vector field at the point (9, -9, 7). F(x,y,z) = x^2zi - 2xzj + yzk ?
  
• W = xy2 + x2z + yz2, x = t2, y = 9t, z = 9 (a) Find dw/dt using the appropriate Chain Rule?
  
• Find the value of the line integral.F · dr (Hint: If F is conservative, the integration may be easier on an alternative path.) F(x,y) = ye^xyi + xe^xyj (a) r1(t) = ti − (t − 8)j, 0 ≤ t ≤ 8 ?
  
• Find the value of the line integral. F · dr C (Hint: If F is conservative, the integration may be easier on an alternative path.) F(x, y) = yi − xj?
  
• Find the value of the line integral. F · dr (Hint: If F is conservative, the integration may be easier on an alternative path.) (2x − 8y + 6) dx − (8x + y − 6) dy?
  
• Match the vector field with its graph. F(x,y) = yi? I tried drawing my own graph and got something other than the answer choices
  
• Find curl F for the vector field at the given point. F(x, y, z) = x2zi − 2xzj + yzk; (7, −9, 3)?
  
• Find a piecewise smooth parametrization of the path C. r(t) = ti + tj 0 ≤ t ≤ 1 _____????______ 1 ≤ t ≤ 2?
  
• Find a piecewise smooth parametrization of the path C?
  
• Find the value of the line integral F · dr C (Hint: If F is conservative, the integration may be easier on an alternative path.) (x2 + y2)dx + 2xy dy?