The temperature at a point is given by the function T (x, )2, Z). We have measured the temperature in four points: T(2, 3, 5) = 14 T(7, 3, 5) = 13 T(2, 2, 5) = % T(2, 3, 0) 2 % We can use these measured values to find an approximation to the slope of the temperature in the three coordinate directions in the point (2, 3, -5). Find these slope numbers, or in other words: find the approximation of the gradient to T in the point (2, -3, 5). a) What is the slope of the temperature if we move away from the point (2, 3, 5) along the direction of 1 4 the vector 1 Dvs what is the direction derivative in this direction. Slope numbers: b) The function w = T (x, y, 2) has a linear approximation at the point (2, 3, 5). Write lthe approximation as an equation of the form w = f (x,y,z) below. Answer: c) Use the linear approach from the previous question to find the approximate value of w = T (7. 8.5}