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Suppose that F1 ο G2 =F1ο G1 then F : S→ T, G1 : T → U, G2 :T →U,. Define a function F : R2 ? R2 by F(x, y) = (x +y, x - y). . Show that if F is onto, Suppose that G1ο F = G2 ο F. Show by counter example that if F isnot onto then show that if H is one-to-one, then G1 = G2. Butthis means one of two things, H is not one to one, and if andonly if t=g.
Doubling the length of a truss member increases its Euler Buckling capacity by a factor of 4
Show or formulate the shear and bending moment expressions for each board, and plot/draw the shear and bending moment diagrams of the boards.
A rectangle channel 20 feet wide carries a discharge Q= 200cfs. Compute the critical depth and critical velocity for the flow in the channel.
For a ternary system, three components are present; temperature is also a variable. What is the maximum number of phases that may be present for a ternary system, assuming that pressure is held constant
Light-Voice Controlling System. We are planning to design a new light-voice controlling system. The voices will basically coordinate the crossing of a road by blind people. Suppose the crossing will be operated by two coordinated systems
The cable is taut and prevents motion of point B in the x-z plane (i.e. acts as a pin for y-axis buckling), but offers no restraint to motion in the y-z plane (i.e. is unsupported for x-axis buckling).
the wind reaches a speed of 27.8 m/s in a storm. calculate the force acting on a 1m x 2m window facing the storm. the window is in a high-rise building. the air density p= 1.2 kg/m3.
determine the stresses in the steel and concrete under the service loads
a 50cm^3 sample of dry soil from an aquifer weighs 100g. when it is poured into a graduated cylinder, it displaces 35cm^3 of water. What is the porosity of the soil. What is the average density of the actual solids contained in the soil
The solids in a specimen have a specific gravity of 2.65. If the oven-dry mass of the specimen is 25kg, what is the volume of the solids in it
The US EPA has published the following data for the release to the Florida environment of sulfuric acid (H2SO4 ), the most widely used industrial chemical (in millions of pounds).
a channel which has a trapezoidal cross-section with a bottom width of 6 m and side slopes 1:2 discharges water at a rate of 5 m3/s. Determine the critical depth.
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