Evaluate x0 x s1 x 4 dx by making a substitution and

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Unformatted text preview: C 0). 45. 47. 3x y 3x 2 1 2x 4 x 46. dx 3 y sin x cos x dx y sx 48. 1 2 2 y tan 1 2 75. Which of the following areas are equal? Why? y y y y=2x´ y=e sin x sin 2x „ y=eœx dx 0 sec s 0 1x 0 1 πx 2 d s 1x 76. A bacteria population starts with 400 bacteria and grows at a s s 49–70 49. y 51. y 53. 2 0 1 0 y 0 s |||| s s s s s s Evaluate the definite integral, if it exists. x x2 1 1 25 50. dx 2x 3 5 dx y 52. y 7 0 54. y rate of r t 450.268 e1.12567t bacteria per hour. How many bacteria will there be after three hours? 77. Breathing is cyclic and a full respiratory cycle from the begin- s4 s 3x dx x cos x 2 dx 0 sec 2 t 4 dt s 12 16 csc t cot t dt ning of inhalation to the end of exhalation takes about 5 s. The maximum rate of air flow into the lungs is about 0.5 L s. This 1 explains, in part, why the function f t 2 sin 2 t 5 has often been used to model the rate of air flow into the lungs. Use this model to find the volume of inhaled air in the lungs at time t....
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