Square Root
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Professor Diamond continues her discussion of the nervous system beginning with processes - extensions of the soma. She describes axons, dendrites and the types of synapses: axodendritic, axoaxomic, axosomatic, and dendrodentritic. She then describes how neurotransmitters travel from the presynaptic terminal of an axon to the postsynaptic terminal of a dendrite in an axodendritic synapse. Professor Diamond continues with neuron...more
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Continuing the discussion of Lewis structures and chemical forces from the previous lecture, Professor McBride introduces the double-well potential of the ozone molecule and its structural equilibrium. The inability for inverse-square force laws to account for stable arrangements of charged particles is prescribed by Earnshaw's Theorem, which may be visualized by means of lines of force. J.J. Thomson circumvented Earnshaw's prohibition on...more
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Professor McBride expands on the recently introduced concept of the wave function by illustrating the relationship of the magnitude of the curvature of the wave function to the kinetic energy of the system, as well as the relationship of the square of the wave function to the electron probability density. The requirement that the wave function not diverge in areas of negative kinetic energy leads to only certain energies being allowed, a...more
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Professor Sylvia Ceyer covers crystal field theory in both the tetrahedral case and the square planar case. The discussion then moves to the spectrochemical series and strong/weak field ligands. A conversation on magnetism, both paramagnetic and diamagnetic, in transition metals concludes the lecture.
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A wire of length 100 centimeters is cut into two pieces; one is bent to form a square, and the other is bent to form an equilateral triangle. Where should the cut be made if (a) the sum of the two areas is to be a minimum; (b) a maximum? (Allow the possibility of no cut.).
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Professor Diamond continues her discussion of the nervous system with a diagram of a cross section of a developing spinal cord in which she highlights the ependyma, the mantle layer, the neuronal soma, and the marginal layer. She compares the developing cord to an adult cord and discusses the ventricles, the posterior and anterior horn, and the lateral horn in the thoracic cord. After relating these to the sympathetic division of the...more
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Deriving the quadratic formula by completing the square.
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Find the volume of the largest open box that can be made from a piece of cardboard 24 inches square by cutting equal squares from the corners and turning up the sides.
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Using Exponent Rules to Simplify Radicals or Square Roots.
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Dihybrid crosses. Independent assortment. Incomplete dominance. Codominance and multiple alleles.
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In this lecture, Professor Diamond continues her description of the histology of muscles and then launches her discussion of the digestive system. She discusses the histology of skeletal muscles and walks through the process of muscle contraction. Professor Diamond then transitions to the digestive system. She begins with an overview of the functions of the digestive system, including preparing food for digestion, digesting food,...more
