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Title: Pure Mathematics 1
Chapter 7: Application of derivatives
Session 1- Increasing and decreasing functions
Question:
Find the interval in which the function f (x) = 2x3 – 4x2 – 8x + 6 increasing and decreasing?
steam enters an adiabatic turbine at 5 mpa and 450 c and leaves at a pressure of 1.4 mpa.determine the work output of
an engine rejects 1260 mjh when running at a thermal efficiency of 22. the calorific value of the fuel used is 42 mjkg.
a mechanic is reinstalling a newly-sharpened blade on a lawn mower. a wedged-in block of wood at c prevents the blade
the coefficient of friction between the load and the flat-bed trailer shown is 0.4. knowing that the speed of the rig
How many engagement points on the flywheel would be necessary to make this machine safe? Show your work.
three horizontal forces are applied as shown to a vertical cast-iron arm. determine the resultant of the forces and the
calculate the room temperature forging force for a solid cylindrical workpiece made of 5052- o aluminimum that is 3.5in
A vertically mounted piston-cylinder device contains 1.5 kg of water and is being heated over a coal burning stove. During the process, 75 kJ of heat is transferred to the water and heat losses from the side walls amount to 9 kJ.
an egg can be approximated as a 5.5 cm diameter sphere with rho 1020 kgm3 cp 3.32 kjkgc. determine the heat transfer
the elevator e has a mass of 500kg and the counterweight at a has a mass of 150kg. if the motor supplies a constant
steam enters a diffuser at 20 psia and 240of with a velocity of 900 fts and exits as saturatednbspvapor at 240of and
A solar water heater operating at steady state heats water from 90 0 F to 120 0 F. The panel is 3600 Btu/hr. Determine 1) the mass flow rate of the water in lb/min and 2) the volume of 120 0 F water after 1 hour in gallons.
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