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
.
For the system consisting of the lines:
and
71 = (-8,5,6) + t(4, −5,3)
72 = (0, −24,9) + u(−1, 6, −3)
a) State whether the two lines are parallel or not and justify your answer.
b) Find the point of intersection, if possible, and classify the system based on the
number of points of intersection and how the lines are related. Show a complete
solution process.
3. [-/2 Points]
DETAILS
MY NOTES
SESSCALCET2 7.4.013.
Find the exact length of the curve.
y = In(sec x), 0 ≤ x ≤ π/4
H.w
WI
M
Wz
A
Sindax
Sind dy max
Утах
at 0.75m from A
w=6KN/M L=2
W2=9 KN/m
P= 10 KN
B
Make the solution handwritten and not
artificial intelligence because I will
give a bad rating if you solve it with
artificial intelligence
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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