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Consider the function f(x)=x^3-2x+4 on the interval [-2,2] with h=0.25. Use the forward, backward, and centered finite difference approximations for the first and second derivatives so as to graphically illustrate which approximation is most accurate. Graph all three first-dervative finite difference approximations along with the theoretical, and do the same for the second derivative as well.
Knowing that in the position shown the rod has angular velocity of 4 rad/s clockwise; determine the angular velocity of the rod after it has rotated through a 90°.
A spherical balloon inflated sos that the volume is increasing at the rate of cubic meter/min. At what rate is the diameter increasing when the diameter is 12 m?
Find the corresponding damping coefficient c. Identify the system parameters such as the natural frequency and damped frequency. Derive the mathematical expression of the displacement as a function of time with the given initial condition. Plot yo..
A household refrigerator with a coefficient of performance of 2.4 removes energy from the refrigerated space at a rate of 600 Btu/h. Evaluating electricity at , determine the cost of electricity n a month when the refrigerator operates for 360 hou..
a truck is traveling at v0 60mph when the driver applies the brakes to come to a stop. the deceleration of the truck
propane gas enters a continuous adiabatic heat exchanger at 40degc and 250 kpa and exits at 240degc superheated steam
the position of a crate sliding down a ramp is given by x 0.25t3 y1.5t2 z6-0.75t2.5 all in units of m where t is in
Assume they test null hypothesis H0: versus H1: Will the engineers decide to use the steel if H0 is rejected? Will the engineers decide to use the steel if H0 is not rejected?
for each state indicate if the fluid is compressed liquid saturated mixture or superheated vapor. show the state on a
Briefly explain the difference between fatigue striations and beachmarks in terms of both size and origin.
What is the difference between corrosion and stress corrosion cracking of pipelines? Which of them is more dangerous and why?
A block of metal has a 90 notch cut from its lower surface. The notched part rests on a circular cylinder of diameter 2.0 cm, as shown in Fig. 4.15. If the lower surface of the par is 1.3 cm above the base plane, how deep is the notch?
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