Nonlinear Equations Your nonlinearity confuses me. “The problem of not knowing what we missed is that we believe we haven't missed anything” – Stephen Chew on Multitasking. http://numericalmethods.eng.usf.edu Numerical Methods for the STEM undergraduate.
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“The problem of not knowing what we missed is that we believe we haven't missed anything” – Stephen Chew on Multitasking
http://numericalmethods.eng.usf.eduNumerical Methods for the STEM undergraduate
You are working for ‘DOWN THE TOILET COMPANY’ that makes floats for ABC commodes. The floating ball has a specific gravity of 0.6 and has a radius of 5.5 cm. You are asked to find the depth to which the ball is submerged when floating in water.
Figure Diagram of the floating ball
For the trunnion-hub problem discussed on first day of class where we were seeking contraction of 0.015”, did the trunnion shrink enough when dipped in dry-ice/alcohol mixture?
Since the answer was a resounding NO, a logical question to ask would be:
If the temperature of
-108oF is not enough for the contraction, what is?
For a certain cubic equation, at least one of the roots is known to be a complex root. The total number of complex roots the cubic equation has is
The velocity of a body is given by v (t)=5e-t+4, where t is in seconds and v is in m/s. The velocity of the body is 6 m/s at t =
The root of equation f (x)=0 is found by using Newton-Raphson method. The initial estimate of the root is xo=3, f (3)=5. The angle the tangent to the function f (x) makes at x=3 is 57o. The next estimate of the root, x1 most nearly is
The velocity of a body is given by v (t)=5e-t+4, where t is in seconds and v is in m/s. We want to find the time when the velocity of the body is 6 m/s. The equation form needed for bisection and Newton-Raphson methods is
To find the root of an equation f (x)=0, a student started using the bisection method with a valid bracket of [20,40]. The smallest range for the absolute true error at the end of the 2nd iteration is
For an equation like x2=0, a root exists at x=0. The bisection method cannot be adopted to solve this equation in spite of the root existing at x=0 because the function f(x)=x 2
Studying with Peers
You know it's hard out here for a pimp,
When he tryin to get this money for the rent,
For the Cadillacs and gas money spent
The Compass of Pleasure:
How Our Brains Make Fatty Foods, Orgasm, Exercise, Marijuana, Generosity, Vodka, Learning, and Gambling Feel So Good