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- 6. B) Write equivalent expressions for each of the following by using De Morgan’s Law. !(a || b) !(y > 2 && !found )1) The simplified version of the Boolean function, F(x,y,z)= x’y’z+x’yz+x’yz’+xy’z’+xyz+xyz’ , can be written as: 2) The simplified version of the Boolean function, F(x,y,z)= x’y’z+x’y’z+x’yz+x’yz’+xy’z’+xyz’ , can be written as:Find a formula that generates the following sequence a1,a2,a3, …. a) 4, 6, 8, 10, 12, ... b) 0, 3, 8, 15, 24, ….
- (Practice) Determine the value of the following floating-point expressions: a.3.0+4.06.0b.3.04.0/6.0+6.0c.2.03.0/12.08.0/4.0 d.10.0( 1.0+7.03.0)e.20.02.0/6.0+3.0f.20.02.0/( 6.0+3.0)g.( 20.02.0)/6.0+3.0h.( 20.02.0)/( 6.0+3.0)(Mechanics) The deflection at any point along the centerline of a cantilevered beam, such as the one used for a balcony (see Figure 5.15), when a load is distributed evenly along the beam is given by this formula: d=wx224EI(x2+6l24lx) d is the deflection at location x (ft). xisthedistancefromthesecuredend( ft).wistheweightplacedattheendofthebeam( lbs/ft).listhebeamlength( ft). Eisthemodulesofelasticity( lbs/f t 2 ).Iisthesecondmomentofinertia( f t 4 ). For the beam shown in Figure 5.15, the second moment of inertia is determined as follows: l=bh312 b is the beam’s base. h is the beam’s height. Using these formulas, write, compile, and run a C++ program that determines and displays a table of the deflection for a cantilevered pine beam at half-foot increments along its length, using the following data: w=200lbs/ftl=3ftE=187.2106lb/ft2b=.2fth=.3ft(Automotive) a. An automobile engine’s performance can be determined by monitoring its rotations per minute (rpm). Determine the conversion factors that can be used to convert rpm to frequency in hertz (Hz), given that 1rotation=1cycle,1minute=60seconds,and1Hz=1cycle/sec. b. Using the conversion factors you determined in Exercise 7a, convert 2000 rpm into hertz.