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A thin rod extends from x = 0 to x = 17.0 cm. It has a cross-sectional area A = 8.00 cm, and its density
A thin rod extends from x = 0 to x = 17.0 cm. It has a cross-sectional area A = 8.00 cm, and its density increases uniformly in the positive x-direction from 3.50 g/cm at one endpoint to 20.0 g/cm at the other. (a) The density as a function of distance for the rod is given by p = B + Cx, where B and C are constants. What are the values of B (in g/cm ) and C (in g/cm*)? B = 9/cm C = g/cm 4 (b) Finding the total mass of the rod requires integrating the density function over the entire length of the rod. The integral is written as follows. M= Jalmater Adv = PAdx = (B + (x)(8.00 cm ? ) dx What is the total mass of the rod (in kg)? kg
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