For Exercises 15-22, suppose that an object is attached to a horizontal spring subject to the given conditions. Find a model for the displacement d as a function of the time t . (See Example 1) Initial Displacement d at t = 0 Amplitude Period or Frequency 0 cm intially moving to the right 15 cm 0.125 sec
For Exercises 15-22, suppose that an object is attached to a horizontal spring subject to the given conditions. Find a model for the displacement d as a function of the time t . (See Example 1) Initial Displacement d at t = 0 Amplitude Period or Frequency 0 cm intially moving to the right 15 cm 0.125 sec
Solution Summary: The author calculates the model for the displacement d as a function of the time ( t) for an object that is attached to the horizontal spring.
For Exercises 15-22, suppose that an object is attached to a horizontal spring subject to the given conditions. Find a model for the displacement
d
as a function of the time
t
. (See Example 1)
Initial Displacement
d
at
t
=
0
Amplitude
Period or Frequency
0
cm intially moving to the right
15
cm
0.125
sec
Fill in the blanks to write the calculus problem that would result in the following integral (do not evaluate the interval). Draw a graph representing the problem. π/2 So/² 2xcosx dx Find the volume of the solid obtained when the region under the curve 38,189 on the interval is rotated about the axis.
Let f(x) = -5x-1, g(x) = x² + 5, h(x) = ·
x+4
3
Find (hog of)(1).
(hogof)(1)=
(Simplify your answer. Type an integer or a decimal.)
For the given function, find (a) the equation of the secant line through the points where x has the given values and (b) the equation of the tangent line when x has the first value.
y= f(x) = x²+x; x=-1,x=2
a. Which of the following formulas can be used to find the slope of the secant line?
○ A.
2-(-1)
f(2) f(-1)
2+(-1)
C.
1(2)+(-1)
The equation of the secant line is
1(2)+(-1)
О в.
2+(-1)
f(2)-(-1)
D.
2-(-1)
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
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