Need Help. It's urgent

• 

  chutieuthichbeer

  
  khoảng 11 tháng trước

• 5. Given the function F(x,y,z,t)=xcos(t)+ysin(t)+z(t^2+t-2). Find the points, if any,
  on the curve r(t)=<cos(t), sin(t), t> where this function assumes extreme values.
  
  
  
  
  7. The temperature at a point P(x,y,z) is given by T=200e^(-x^2-3y^2-9z^2), where T is measured in celsius and x, y, z are in meters.
  
  a) Find the rate of change in the temperature at the point P(2,-1,2) in the direction toward the point Q(3,-3,3)
  b) In what direction does the temperature increase fastest at P?
  c) Find the maximum rate of increase at P.
  d) In what direction(s) does the temperature has no change at P?
  
  
  I have to hand it in tomorrow, so please help me out if you know the answers. (show the answers in the details since I was asked to solve it in details)

• 

  8hột_zịt_lộn

  
  khoảng 11 tháng trước

• sau 16 năm rời xa trường lớp , giờ nhìn cái này chóng mặt quá
  
  hông giúp được chú tiểu . đi ra , chúc chú tiểu mau mau được khai sáng

• 

  mltr

  
  khoảng 11 tháng trước

• The temperature at a point P(x,y,z) is given by T=200e^(-x^2-3y^2-9z^2), where T is measured in celsius and x, y, z are in meters.
  
  a) Find the rate of change in the temperature at the point P(2,-1,2) in the direction toward the point Q(3,-3,3)
  rate of change = (T(Q)-T(P))/distance from P to Q
  
  b) In what direction does the temperature increase fastest at P?
  Partial derivative dT/dx, dT/dy, dT/dz ... @P
  
  c) Find the maximum rate of increase at P.
  examine limits at P
  
  d) In what direction(s) does the temperature has no change at P?
  no change = rate of change = 0