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(a) Show that ax21- 2bx1x2 + cx22 is positive-definite if and only if a > 0 and ac > b2.
(b) Find inequalities that must be satisfied by a and b to ensure that 2x21 + ax22 + 3x23 - 2x1x2 + 2bx2x3 is positive-definite.
A two shell pass and four tube pass heat exchanger is used to heat glycerine from 20 °C to 55 °C by hot water that enters a thin-walled 22 mm diameter tube at 85 °C and leaves at 42 °C. The total length of the tube in the heat exchanger is 40 m.
Also, compare with the efficiency of an Otto cycle operating with the same maximum pressure.
Consider an economy with I consumers and L goods, where, for all i, the endowment vector of consumer i is ei , and the utility function of each consumer i is of the form Iui(xi , ) xn), i=1 where xi is the consumption vector of the ith consumer. Assu..
Determine the centroidal moment of inertia for the following. The center circle is cut out. you have a rectangle standing up ward the height is 7 in and the width is 4 in there is a cut out hole in the center with 2 in for diameter.
Suppose it is impossible to use an extensometer on the gauge section of a test specimen. Instead a butt-end specimen (Figure 3.2c) is used and the strain is computed from the cross-head movement.
assume that a jet touches down 170 mph and its speed is reduced to zero in 240 ft. assuming a constant deceleration
1. operators assemble pumps at an hourly rate of 10.00.the standard time for the assembly is 20minutes. direct material
a proton and an electron form two corners of an equilateral triangle of side length 3.0 multiplied by 10-6 m. what is
how does the energy use for the typical family vehicle compare with that for the typical hot water heater? what are the
a race car c is being tracked via telemetry. the on-board acclerometer records and acceleration level of -.7get.5gen.
A generator is driven by a small, single-jet Pelton turbine designed to have a power specific speed Ωsp = 0.20. The effective head at nozzle inlet is 120 m and the nozzle velocity coefficient is 0.985.
If the resistance between the outside terminals of a linear potentiometer is 10 kΩ, what is its resistance between the wiper (movable) arm and an outside terminal if the resistance between the wiper arm and the other outside terminal is 3.5 kΩ
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