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y'=y+1 , y(0)=1 ; y(x)= 2e^(x) -1 An Initial value problem and its exact solutions y(x) are given . Apply euler's method twice to aproximate to this solution on the interval [0,(1/2)] , first we step size h=0.25 then we step size h=0.1 . Compare the three-decimal-place values of the two approximations at x=(1/2) with the value y(1/2) of the actual solution . then do the same for PART B: y'=-2xy , y(0)=2 ; y(x)=2e^(-x^2)
A 4 X 12 (S4S) hem-fir timber beam carries a superimposed uniformly distributed load of 325 lb/ft on a simple span of 12ft. Determine the maximum bending stress and the maximum shear stress
Design a simply supported one-way reinforced concrete floor slab to span 10 ft and carry a service live load of 175 psf and a service dead load of 25 psf. Use fc' = 3000 psi and fy = 60,000 psi.
A moves downward a distance of 3.6 ft, and mass B moves a distance x. What is the value of x 2. Find the speed of mass B for a given speed of mass A The system is released from rest and mass A moves downward at a constant speed of 8.0 ft/s.
A belt is wrapped around a pulley for 180 degrees. The loose-side belt tension is 100 lb and the coefficient of static friction is 0.30. Calculate the maximum belt tension if motion is impending.
Find the magnitude and depth of the point of application of the force on the circular gate shown (circular gate at an angle of 60 deg.) if h(distance from top of gate to top of water)=5ft. and D(length of the gate)=4 ft.
Does anyone have suggestions for a topic for an engineering ethics presentation? It could be related to any type of engineering (computer, civil, mechanical, electrical, industrial, etc).
A hi-vol clean filter weighs 18.00 g. After a 24 hour sampling period the filter is removed and weighs 18.65 g. The initial flow rate through the filter was 2.5 m3/min.
Knowing that these forces are equivalent to a force-couple system at C consisting of the force C= (- 8 N)i+ (4 N)k and the couple Mc =(360 N ⋅ m)i, determine the forces applied at A and B when Az = 2 N.
A 100 lb force vector F is aligned from A to B. Point A is located at the coordinates (2, 2, 2) and point B at (4,5,6). Calculate the moment of F about the y axis.
Using the Gumbel probability function, estimate the probability that a maximum 24 hour depth in any year will exceed 160 mm. What is the probability that the maximum 24 hour depth will exceed 125 mm
What difference does the tightening of bolt in the friction grip joint make to the load at first slip and the failure load.
A lake has a steady-state pollution concentration of 50 mg/L and is being fed by a stream with flow rate 50m3/day. The volume of the lake is 1.00 x 10^7 m3, and the decay rate for the pollutant is 0.15/day.
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