EGET 3171
Review for Exam 3
1. Determine the volume formed by rotating the area bounded by y = 2 cos x, x=0 and y=0 about the x axis. (p 2)
2. Find the equation for the curve for which dy/dx = (ln x)2/x, if the curve passes through the point (1, 6). ( y = (ln(x))3 /3 + 6) )
3. A part is to be cut from a piece of 0.25 inch thick sheet. The area of the part can be described as the area under the curve y=e0.2x between 1 in. and 3 in. The metal weighs 0.30 lb/in3. What will the part weigh when it is completed? (0.225 lb)
4. A particle moves at a velocity described by : v = (sin 4t)/(4+cos4t). Determine an equation for the position of the particle, if the initial position is 0. (s =1/4 ln(5/(4+cos4t)) )
5. A six foot long board is placed against a wall as shown. Determine the angle q which will maximize the area under the board. (q =45o)
6. Find the area bounded by: y = 0.5e2x, x = 0, and y = 5. (A=3.51)
