5657. Walking on a surface Consider the following surfaces and parameterized curves C in the xy-plane. a. In each case, find z1t2 on C. b. Imagine that you are walking on the surface directly above C consistent with the positive orientation of C. Find the values of t for which you are walking uphill. z = x2 - 2y2 + 4; C: x = 2 cos t, y = 2 sin t, for 0 t 2p
Shakespeare’s King Lear 1 Style Rhetoric as an elaborate disguise/ruse Language of division Prose with a touch of rhyme Kent’s rhyme (1259) to emphasize the words and slow the reader down Language of Nothing Note: nothing and noting were pronounced the same way during this time Anachronism (something not matching the current time period) Mentioning King Arthur Doubling of plot: (treachery vs. loyalty) Sons of Gloucester: Edmund and Edgar Daughters of King Lear: Goneril, Regan, and Cordelia 2. Language of Division Dividing love between husband and father Regan and Goneril have husbands, but not Cordelia (1257) PreChristian Britain vs. Shakespeare’s time Traditional gods vs. God Christian resonance in language a. France: admires humble, poor, and virtuous people holy richness despite poverty b. BUT potential pagan nature/moral issue (because the moral and virtuous Cordelia dies) Renaissance Lit. vs. Early Modern Lit. (1265) Renaissance (Gloucester) Early Modern (Edmund) a. Skeptical, dismissive of traditional predictors of character (such as astrology and bastardization versus legitimacy) 3 King Lear Social familial perception: Men have authority Father = king = God (God is the father, father of the kingdom, kingdom of the castle dad) Wants the benefits of being a king without the power and burden Divides the kingdom a. Social background: King James (of unity) for uniting kingdoms b. Literary background: Shakespeare’s language of division suggests a more tragic plot 4. Cordelia Criticism of sisters’ actions: their “glib of oily art” Love does not necessarily mean telling someone what they want to hear (she cares for her father the most of all)