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All Textbook Solutions for Finite Mathematics and Applied Calculus (MindTap Course List)

12E13E14E15E16E17E18E19EIn Exercises 1-28, evaluate the given integral. [HINT: See Quick Examples 1-3.] exsin(ex)dx21E22E23E24E25E26E27E28E29E30E31E32E33E34E35E36E37E38E39E40E41E42E43E44E45E46E47E48E49E50E51E52E53E54E55E56E57E58E59EVarying Cost The cost of producing a box of holiday tree decorations is changing at a rate of 0.05+0.4cos[6(t11)] dollarsper months, t month after January 1. If it cost $5 to produce a box on June 1, find the cost C(t) attime t.61E62E63E64EBiology Sigatoka leaf spot is a plant disease that affects bananas. In an infected plant, the percentage of leaf area affected varies from a low of around 5% at the start of each year to a high of around 20% at the middle of each year.24 Use a sine function model of the percentage of leaf area affected by Sigatoka leaf spot t weeks since the start of a year to estimate, to the nearest 0.1%, the average percentage of leaf area affected in the first quarter (13 weeks) of a year.66E67ETides The depth of water at my favorite surfing spot varies from 5 to 15 feet, depending on the time. Last Sunday, high tide occurred at 5:00 am, and the next high tide occurred at 6:30 pm. Use the cosine function to model the depth of water as a function of time t in hours since mid- night on Sunday morning. What was the average depth of the water between 10:00 am and 2:00 pm?69E70E71EHow are the derivative and antiderivative of sinx related?73E74E75E76E1E2E3E4E5E6E7E8E9E10E11E12E13E14E15E16E17ELet p: Willis is a good teacher, q: Carla is a good teacher, r: Willis students hate math, and s: Carlas students hate math. Express the statements in Exercises 1724 in words. (p)(q)19ELet p: Willis is a good teacher, q: Carla is a good teacher, r: Willis students hate math, and s: Carlas students hate math. Express the statements in Exercises 1724 in words. ((p)(s))q21E22ELet p: Willis is a good teacher, q: Carla is a good teacher, r: Willis students hate math, and s: Carlas students hate math. Express the statements in Exercises 1724 in words. (qs)24E25E26E27EAssume that it is true that Polly sings well, it is false that Quentin writes well, and it is true that Rita is good at math. Determine the truth of each of the statements in Exercises 2532. Polly sings poorly or Quentin writes poorly.Assume that it is true that Polly sings well, it is false that Quentin writes well, and it is true that Rita is good at math. Determine the truth of each of the statements in Exercises 2532. Either Polly sings well and Quentin writes poorly, or Rita is good at math.30E31E32E33E34E35E36E37E38E39E40E41E42E43E44EFind the truth value of each of the statements in Exercises 3348. [HINT: See Quick Examples 1315.] The sun rises in the west only if it sets in the west.46E47E48E49E50E51E52E53E54E55E56E57E58E59E60E61E62E63E64EUse truth tables to verify the logical equivalences given in Exercises 6372. ppqp (Commutative law for disjunction)66EUse truth tables to verify the logical equivalences given in Exercises 6372. (pq)(p)(q)68E69E70E71E72E73E74E75E76E77E78E79E80E81E82E83E84E85E86E87E88E89EGive the contrapositive and converse of each of the statements in Exercises 89 and 90, phrasing your answers in words. If these birds are of a feather, then they flock together.91E92E93E94E95E96E97E98E99E100E101E102E103E104E105E106E107E108E109E110E111E112E113E114E115E