Temperature (in degrees Celsius) at the point (x, y, z) at time t is given by the formula T (x, y, z, t) = x^2 + 2y^2 + x*cos (t). Instruments travel around space under the parametric curve r (t) = (3t, t2,2t) where distances are given in meters and time unit is seconds.
(A) What is the change in temperature in ◦C / s which detects at time t?
I'm not sure how I can solve this, you should find dT/dt right?

Question

Temperature (in degrees Celsius) at the point (x, y, z) at time t is given by the formula T (x, y, z, t) = x^2 + 2y^2 + x*cos (t). Instruments travel around space under the parametric curve r (t) = (3t, t2,2t) where distances are given in meters and time unit is seconds. 
(A) What is the change in temperature in ◦C / s which detects at time t? 
 I'm not sure how I can solve this, you should find dT/dt right?

irishboy123 · Answer

yes


plug in x,y,z = (3t, t2,2t) and do dT/dt :p