(a) The contour diagram of the linear function z = ax + by + C is given below. Note all level curves are spaced at 2, and the four level curves with values z=-10, 0, 10, and z=20 are labelled on the graph. Find the linear function. z=-10 z= 0 4-y z=10 z= 20 -4 Χ (b) The temperature at a location (x, y, z) is given by T = T(x, y, z). Suppose at the point (0, 2, 3), T(0,2,3) = 1 Tx (0,2,3) = 7 Ty(0, 2, 3) = -3 T₂ (0,2,3) = 5 Find the linearization of the function at (0, 2, 3). (c) Use the linear approximation from part (b) to estimate the change in temperature near (0, 2, 3), if x is decreased by 0.02, y is increased by 0.05, and z is decreased by 0.04. Enter your answer in the blank below. Round your answer to two decimal places.