a) b) c) Use the chain rule to find y = uv, z=u+V. ow when u = 1, v = 1, if w = x²e2y + y² Inz and X=U-V, au The base ra

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A B C Use The Chain Rule To Find Y Uv Z U V Ow When U 1 V 1 If W X E2y Y Inz And X U V Au The Base Ra 1 (52.24 KiB) Viewed 24 times

a) b) c) Use the chain rule to find y = uv, z=u+V. ow when u = 1, v = 1, if w = x²e2y + y² Inz and X=U-V, au The base radius and height of a right circular cone are measured as 15cm and 40cm, respectively. If there is an error of 0.2cm in each measurement, estimate the maximum 1 percentage error in the volume of the cone. The temperature at a point (x, y, z) on a surface is given by T(x, y, z)= xy² - 2xyz². (1) Find the rate of change of the temperature at the point P(1,-1,0) in the direction towards the point Q(0,-3,2). (iii) In which direction does the temperature T increase most rapidly at the point P(1,-1,0)? Find the maximum rate of change of the temperature T at the point P(1,-1,0).