Need help with problem 63 pls

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Need help with problem 63 pls
FIGURE 2.33 Normal mean air temperatures at Fairbanks,
Alaska, plotted as data points, and the approximating sine
function. (Exercise 60)
J, y = f(u
is negative. Wh
g'(-5) and f'(g
T 69. The derivative c
-2 <x< 3.5.
61. Particle motion The position of a particle moving along a coordi-
V1 + 4t , with s in meters and t in seconds. Find
nate line iss =
the particle's velocity and acceleration at t = 6 sec.
for h =
1.0, C
cluding negat
62. Constant acceleration Suppose that the velocity of a falling body
is v = kVs m/sec (k a constant) at the instant the body has fallen
sm from its starting point. Show that the body's acceleration is
Explain this
70. The derivative
constant.
Then, on the
63. Falling meteorite The velocity of a heavy meteorite entering
Earth's atmosphere is inversely proportional to Vs when it is s
km from Earth's center. Show that the meteorite's acceleration is
inversely proportional to s2.
for h = 1.0.
What do you
64. Particle acceleration A particle moves along the x-axis with veloc-
ity dx/dt
f(x)f' (x).
T The curves in Ex
f(x). Show that the particle's acceleration is
sajous figures. In
quadrant where
equations of the
65. Temperature and the period of a pendulum For oscillations of small
amplitude (short swings), we may safely model the relationship
between the period T and the length L of a simple pendulum with
the equation
71.
y
L.
T = 2T
Transcribed Image Text:FIGURE 2.33 Normal mean air temperatures at Fairbanks, Alaska, plotted as data points, and the approximating sine function. (Exercise 60) J, y = f(u is negative. Wh g'(-5) and f'(g T 69. The derivative c -2 <x< 3.5. 61. Particle motion The position of a particle moving along a coordi- V1 + 4t , with s in meters and t in seconds. Find nate line iss = the particle's velocity and acceleration at t = 6 sec. for h = 1.0, C cluding negat 62. Constant acceleration Suppose that the velocity of a falling body is v = kVs m/sec (k a constant) at the instant the body has fallen sm from its starting point. Show that the body's acceleration is Explain this 70. The derivative constant. Then, on the 63. Falling meteorite The velocity of a heavy meteorite entering Earth's atmosphere is inversely proportional to Vs when it is s km from Earth's center. Show that the meteorite's acceleration is inversely proportional to s2. for h = 1.0. What do you 64. Particle acceleration A particle moves along the x-axis with veloc- ity dx/dt f(x)f' (x). T The curves in Ex f(x). Show that the particle's acceleration is sajous figures. In quadrant where equations of the 65. Temperature and the period of a pendulum For oscillations of small amplitude (short swings), we may safely model the relationship between the period T and the length L of a simple pendulum with the equation 71. y L. T = 2T
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