CALCULUS:GRAPHICAL,NUMERICAL,..-PACKAGE
5th Edition
ISBN: 9780133320381
Author: Finney
Publisher: SAVVAS L
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The velocity of a particle moving back and
forth on a number line is
ds
U =
3 sin(3t)
dt
for all
t
. Assuming the position of the particle when
t=0
is zero, what is the particle's position at
time
t= T
Your answer should be an integer.
In estimating
cos (3x)dx using Trapezoidal and Simpson's rule with n = 4, we can estimate the error
- 1
involved in the approximation using the Error Bound formulas.
For Trapezoidal rule, the error will be less than
For Simpson's rule, the error will be less than
Give your answers accurate to at least 2 decimal places
2. Locate the first positive root of f(x) = sinx + cos(1 +x²)- 1 where x is in radians. Use four iterations of
the secant method with initial guesses of (a) x_1 = 1.0 andx, = 3.0; (b) x_1 = 1.5 and x, = 2.5; (c)
x_1 = 1.5 and x, = 2.25 to locate the root.
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