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Differentiation A Slippery Slope - Jerks You Around - Accelerates Your Mind. Popping tags means. Popping bubble wrap Using firecrackers Changing tags of regular items in a store with tags from clearance items Taking illicit drugs. Oil Spill. Acceleration of a rocket. 2.01 BACKGROUND.
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DifferentiationA Slippery Slope - Jerks You Around - Accelerates Your Mind http://nm.mathforcollege.com
Popping tags means • Popping bubble wrap • Using firecrackers • Changing tags of regular items in a store with tags from clearance items • Taking illicit drugs http://nm.mathforcollege.com
Oil Spill http://nm.mathforcollege.com
Acceleration of a rocket http://nm.mathforcollege.com
2.01BACKGROUND http://nm.mathforcollege.com
The definition of the exact derivative of the function f (x) is 10 http://nm.mathforcollege.com
Given y=sin(2x), dy/dx at x=3 • 0.9600 • 0.9945 • 1.920 • 1.989 10 http://nm.mathforcollege.com
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02.02 CONTINUOUS FUNCTIONS http://nm.mathforcollege.com
Given f (x)=x2, using forwarded divided difference scheme and step size of 0.2, the value of f ′ (6)most nearly is • 11.8 • 12.0 • 12.2 • 36.0 10 http://nm.mathforcollege.com
The order of accuracy of the forwarded divided difference approximation • O(h) • O(h2) • O(h3) is http://nm.mathforcollege.com
The order of accuracy of the central divided difference approximation • O(h) • O(h2) • O(h3) is http://nm.mathforcollege.com
The highest order of polynomial for which the central divided difference gives the exact answer for its first derivative at any point is • 0 • 1 • 2 • 3 10 http://nm.mathforcollege.com
Using central divided difference, the true error in the calculation of a derivative of a function is 32.0 for a step size of 0.4. If the step size is reduced to 0.1, the true error will be approximately • 2.0 • 4.0 • 8.0 • 16.0 10 http://nm.mathforcollege.com
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02.03 DISCRETEFUNCTIONS http://nm.mathforcollege.com
The velocity vs. time is given below. The best estimate of acceleration at t =1.5s in m/s2 is • 83.33 • 128.33 • 173.33 • 183.33 http://nm.mathforcollege.com
The velocity vs. time is given below. The best estimate of acceleration at t =1.5s in m/s2 is • 83.33 • 128.33 • 173.33 • 183.33 http://nm.mathforcollege.com
Allowed to use only a second order polynomial to approximate velocity, the data points you would choose to find the velocity of the rocket at t=1.1s are • t=0, 0.5, 1.2 • t=0.5, 1.2, 1.5 • t=1.2, 1.5, 1.8 • t=0, 1.2, 1.8 http://nm.mathforcollege.com
The velocity vs time is given below. The values at t=1.2, 1.5 and 1.8 are interpolated to a 2nd order polynomial.v(t)=-150t2+578.33t-225 The best estimate of acceleration at t=1.5 in m/s2 is • 83.33 • 128.33 • 173.33 • 275.00 http://nm.mathforcollege.com
In a circuit with an inductor of inductance L, a resistor with resistance R, and a variable voltage source E(t), If L=0.98 henries and R=0.142 ohms, find E(1.00) with most accuracy and choosing amongst FDD, BDD or CDD. http://nm.mathforcollege.com
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