1) Find the derivative of f(x)= 2x³+ 2x +12. Then evaluate the

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1) Find the derivative of f(x)= 2x° + 2x+12. Then evaluate the
derivative at x=1andx= 4.
2) The distance a particle moves along a path is defined by
s(t)=6t–2 +4, where t is given in seconds and the distance of
the particle is given in millimeters. Find the expression for the
instantaneous velocity v(f) of the particle.
3) The height h in meters of a person jumping off a trampoline can be
defined by h(t)=0.3+3t –²on the interval 0, 3], where time t is.
given in seconds. Find the maximum and minimum heights of the
jump.
Transcribed Image Text:1) Find the derivative of f(x)= 2x° + 2x+12. Then evaluate the derivative at x=1andx= 4. 2) The distance a particle moves along a path is defined by s(t)=6t–2 +4, where t is given in seconds and the distance of the particle is given in millimeters. Find the expression for the instantaneous velocity v(f) of the particle. 3) The height h in meters of a person jumping off a trampoline can be defined by h(t)=0.3+3t –²on the interval 0, 3], where time t is. given in seconds. Find the maximum and minimum heights of the jump.
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