MATLAB......

HW3_3* According to Archimedes, if a solid that is lighter than a fluid is placed in the fluid, the solid will be immersed to such a depth that the weight of the solid is equal to the weight of the displaced fluid: The volume of the displaced water is (h2r-3), where h is the height of the water, measured from the bottom of the cork. Find the floating depth h for a cork ball of radius 4 whose density (Ps) is one quarter that of water (pw) using a) Newton-Raphson method and b) secant method. Determine the root to an accuracy of 3 sig figs. Do not use newtraph.p or secant.p. Write your own code to implement the algorithms and solve. The functions on Cody have the starting guesses as the input arguments, and the root as the output argument. HW3_3* According to Archimedes, if a solid that is lighter than a fluid is placed in the fluid, the solid will be immersed to such a depth that the weight of the solid is equal to the weight of the displaced fluid: The volume of the displaced water is (h2r-3), where h is the height of the water, measured from the bottom of the cork. Find the floating depth h for a cork ball of radius 4 whose density (Ps) is one quarter that of water (pw) using a) Newton-Raphson method and b) secant method. Determine the root to an accuracy of 3 sig figs. Do not use newtraph.p or secant.p. Write your own code to implement the algorithms and solve. The functions on Cody have the starting guesses as the input arguments, and the root as the output argument