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please calculate me 1, 3, 4, 5, 2. 1. Evaluate the area under the graph of y = / - a: above the X-axis between

please calculate me 1, 3, 4, 5, 2.

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1. Evaluate the area under the graph of y = \\/ - a: above the X-axis between x227and33=81? 3. Find the volume of the solid obtained by revolving about the :1:- axis the region between y = 2:29 and 35'2- 4. How much work (in Joules) is done on a 1kg object to lift it from the center of the Earth to its surface? The gravity force in Newtons on a 1 kg object at distance r from the center of the Earth is given by: F(r) = 0.00151\". The radius of the Earth is R = 6, 371km. Solution. To calculate work we intergrate F(r) over the interval [0, R]: R 6371 W = / F(r)dr = j 0.0015rdr = .... 0 D 5. In the US the voltage in the electrical wiring of a typical home is given by V(t) = 170 sin(1207rt). Find the average voltage over the half cycle time interval [0, ]. 2. Evaluate f sin3 a: - cos2 mdaz

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