UFCalcSet35 - Exercises UF Calculus Set 35 1 Evaluate the...

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Exercises UF Calculus Set 35 1. Evaluate the integrals: (a) Z 1 - 1 p 5 - 4 y d y (b) Z 6 0 3 3 + 2 x d x (c) Z tan(3 θ - 2) d θ 2. A patient at a hospital ingests a dose of medicine which is then absorbed by the bloodstream at a rate of K (1 + 2 t ) - 2 mg/min, where t is the time elapsed in minutes and K is a constant. (a) Write a formula for the amount of medicine absorbed after T minutes. (b) Suppose the entire dose is absorbed over time; what is the K that corresponds to to a 150 mg dose? 3. Evaluate the integrals using substitution rule. (a) Z 1 - 1 2 t 2 (1 - t 3 ) 9 d t (b) Z 1 - 2 x 2 x 2 + 1 d x (c) Z 4 y (2 + 3 y 2 ) 3 d y (d) Z π/ 3 0 sin( x ) cos 3 ( x ) d x (e) Z sec 3 (2 x ) tan(2 x ) d x (f) Z p sin( t ) sin(2 t ) d t (g) Z e - t 2 + e - t d t (h) Z e 1 12 x [2 + 4 ln( x )] 2 d x (i) Z - 1 - 2 x 5 - x 2 d x 4. Evaluate the integrals using substitution rule. (a) Z 2 1 e - x x d x (b) Z π/ 2 0 sin( t ) 3 + cos 2 ( t ) d t (c) Z 4 0 x 1 + 2 x d x (d) Z 2 1 10 t 3 1 + t 2
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UFCalcSet35 - Exercises UF Calculus Set 35 1 Evaluate the...

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