The sphere of radius R and thermal conductivity k is suddenly immersed in a hot fluid with a heat transfer coefficient ho (see Figure below). The temperature variation with time in the radial direction of the sphere can be formulated in terms of temperature rate of change which satisfies the following equation: 1 - cot = ho R k Radius R; conductivity k Fluid, ho hoR Use bisection method to find the first root of the equation for k 0.8. Start with the interval = 0.45 and = 1.65 and fill in the blank spaces in the table. Round up your answers to 4 decimals. Use the relative error defined as i+1 * 100% i+1 , iteration 0 1 2 3 0.4500 Iy IT a (%) 1.6500 1.0500