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
.
The correct answer is Ccould you show me how to do it by finding a0 and and akas well as setting up the piecewise function and integrating
T
1
7. 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.
So
π/2
2 2πxcosx dx
Find the volume of the solid obtained when the region under the curve
on the interval
is rotated about the
axis.
38,189
5. Draw a detailed graph to and set up, but do not evaluate, an integral for the volume of the
solid obtained by rotating the region bounded by the curve: y = cos²x_for_ |x|
≤
and the curve y
y =
about the line
x =
=플
2
80
F3
a
FEB
9
2
7
0
MacBook Air
3
2
stv
DG
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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