308-01-07

# - d α ax exp a 1 α = constant e α ax cos a 1 α = constant 6 Compare the column heights of water carbon tetrachloride and mercury corresponding

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NCSU MAE308 2. Solve the following system of equations for x and y, where a, b, c, d, e, f and g are constants: ax+by=c, ex+fy=g. = + = + g fy ex c by ax = + = + ag afy aex ce bey aex ag ce y ) af be ( - = - af be ag ce y - - = = + = + bg bfy bex cf bfy afx bg cf x ) be af ( - = - be af bg cf x - - = Check: c af be ag ce b be af bg cf a = - - + - - c af be ) ag ce ( b be af ) bg cf ( a = - - + - - ) be af ( c ) ag ce ( b ) bg cf ( a - = - - - bce acf abg bce abg acf - = - - - 3. Determine the value of x if ax 2 +bx+c=0, where a, b and c are constants. a 2 ac 4 b b x 2 - ± - = 4. Differentiate each of the proceeding functions with respect to x, where a is a constant. a. a b. x 2 c. x -1 d. exp(ax) e. sin(ax) a. 0 b. 2x c. -x -2 d. a exp(ax) e. a cos(ax) 5. Integrate each of the proceeding functions with respect to x, where a is a constant. a. a b. x 2 c. x -1 d. exp(ax) e. sin(ax) -1-

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NCSU MAE308 a. ax+α, α = constant b. α x 3 1 3 + , α = constant c. ln(x)+α, α = constant
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Unformatted text preview: d. α ) ax exp( a 1 + , α = constant e. α ) ax cos( a 1 +-, α = constant 6. Compare the column heights of water, carbon tetrachloride, and mercury corresponding to a pressure of 50 kPa. The gage pressure is p = ρgh, so ρ 4 . 5098 ) s / m 807 . 9 ( ρ Pa 50000 g ρ p h 2 = = = m 10 . 5 m / kg 999 4 . 5098 h 3 water = = , m 21 . 3 1590 4 . 5098 h ide tetrachlor carbon = = , m 375 . 13600 4 . 5098 h Hg = = 7. How high a column of SAE 30 oil would be required to give the same pressure as 700 mm Hg? ) m 7 . ( g ρ gh ρ p mercury oil = = m 4 . 10 ) 7 . ( 912 13600 m) 7 . ( ρ ρ h oil mercury = = =-2-...
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## This note was uploaded on 08/01/2008 for the course MAE 308 taught by Professor Danby during the Fall '08 term at N.C. State.

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- d α ax exp a 1 α = constant e α ax cos a 1 α = constant 6 Compare the column heights of water carbon tetrachloride and mercury corresponding

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