A jet flies in a parabolic arc to simulate partial weightlessness. The curve shown in the figure represents the plane's height y (in 1000 ft ) versus the time t (in sec). a. For each ordered pair, substitute the t and y values into the model y = a t 2 + b t + c to form a linear equation with three unknowns a , b , and c .Together, these form a system of three linear equations with three unknowns. b. Use a graphing utility to solve for a , b , and c . c. Substitute the known values of a , b , and c into the model y = a t 2 + b t + c . d. Determine the vertex of the parabola. e. Determine the focal length of the parabola.
A jet flies in a parabolic arc to simulate partial weightlessness. The curve shown in the figure represents the plane's height y (in 1000 ft ) versus the time t (in sec). a. For each ordered pair, substitute the t and y values into the model y = a t 2 + b t + c to form a linear equation with three unknowns a , b , and c .Together, these form a system of three linear equations with three unknowns. b. Use a graphing utility to solve for a , b , and c . c. Substitute the known values of a , b , and c into the model y = a t 2 + b t + c . d. Determine the vertex of the parabola. e. Determine the focal length of the parabola.
Solution Summary: The author calculates a system of three linear equations with three unknowns by substituting the values of tandy for each ordered pair into the model.
A jet flies in a parabolic arc to simulate partial weightlessness. The curve shown in the figure represents the plane's height
y
(in
1000
ft
) versus the time
t
(in sec).
a. For each ordered pair, substitute the
t
and
y
values into the model
y
=
a
t
2
+
b
t
+
c
to form a linear equation with three unknowns
a
,
b
,
and
c
.Together, these form a system of three linear equations with three unknowns.
b. Use a graphing utility to solve for
a
,
b
,
and
c
.
c. Substitute the known values of
a
,
b
,
and
c
into the model
y
=
a
t
2
+
b
t
+
c
.
2. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.4.006.MI.
Use the Table of Integrals to evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
7y2
y²
11
dy
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3. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.4.009.
Use the Table of Integrals to evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
tan³(12/z) dz
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4. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.4.014.
Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.)
5 sinб12x dx
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A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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