References 167IX: {Series |(} {2}IX: {Series!geometric|(} {4}IX: {Eulers constant} {4}IX: {Series!geometric|)} {4}IX: {Series!arithmetic|(} {4}IX: {Series!arithmetic|)} {5}IX: {Series!harmonic|(} {5}IX: {Eulers constant} {5}IX: {Series!harmonic|)} {5}IX: {Series|)} {5}Figure 4.75 Sample input for Exercise 4.53Eulers constant: 4, 5Series: 2-5arithmetic: 4-5geometric: 4harmonic: 5Figure 4.76 Sample output for Exercise 4.53c. Show (by induction) that f(N) = (N 2)/3 is a solution to the equation in part(b), with the initial conditions in part (a).d. Use the results of Exercise 4.6 to determine the average number of leaves in anN node binary search tree

Biology Lecture Notes Chapter 8 The Process that Feeds the Biosphere Photosynthesis is the process that converts solar energy into chemical energy. Both directly and indirectly, photosynthesis nourishes almost the entire living world. Tracking Atoms through Photosynthesis Photosynthesis is a complex series of reactions that can be summarized as the following equation. 6CO2 + 6H2O + light energy ->C6H12O6 +6O2 Reactants: 6 CO2, 6H2O Products: C6H12O6, O2 Photosynthesis consists of the light reaction(the photo part) and the calvin cycle(the synthesis part). The Light Reactions convert Solar Energy to the Chemical Energy of ATP and NADPH ● Chloroplasts are solar-powered chemical factories. ● Their thylakoids transform into light energy into the chemical energy of ATP and NADPH. The Light Cycle Where: The thylakoid(inside the chloroplast) What goes in: 6H2O, light energy, and NADPH. What comes out: 6O2 and ATP(only used to power the calvin cycle). REMEMBER: ENERGY IS NEVER CREATED OR DESTROYED! THE ENERGY STORED IN GLUCOSE USED TO BE THE ENERGY ON THE SUNLIGHT. A Comparison of Chemiosmosis in Chloroplasts and Mitochondria ● Chloroplasts and mitochondria generate ATP by chemiosmosis but use different sources of energy. The Calvin Cycle uses the Chemical Energy of ATP and NADPH to turn CO2 to Sugar It builds sugar from smaller molecules by using ATP