Nonlinear Equations Your nonlinearity confuses me

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Presentation transcript:

Nonlinear Equations Your nonlinearity confuses me http://nm.mathforcollege.com

This is what you have been saying about your TI-30Xa I don't care what people say The rush is worth the price I pay I get so high when you're with me But crash and crave you when you are away Give me back now my TI89 Before I start to drink and whine TI30Xa calculators you make me cry Incarnation of Jason will you ever die TI30Xa – you make me forget the high maintenance TI89. I never thought I will fall in love again! http://nm.mathforcollege.com

Example – General Engineering 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 http://nm.mathforcollege.com

For the trunnion-hub problem discussed on first day of class where we were seeking contraction of 0.015ʺ, did the trunnion shrink enough when dipped in dry-ice/alcohol mixture? Yes No http://nm.mathforcollege.com

Example – Mechanical Engineering 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? http://nm.mathforcollege.com

Finding The Temperature of the Fluid Ta = 80oF Tc = ???oF D = 12.363" ∆D = -0.015" http://nm.mathforcollege.com

Finding The Temperature of the Fluid Ta = 80oF Tc = ???oF D = 12.363" ∆D = -0.015" http://nm.mathforcollege.com

Nonlinear Equations (Background) http://nm.mathforcollege.com

How many roots can a nonlinear equation have? http://nm.mathforcollege.com

How many roots can a nonlinear equation have? http://nm.mathforcollege.com

How many roots can a nonlinear equation have? http://nm.mathforcollege.com

How many roots can a nonlinear equation have? http://nm.mathforcollege.com