Given y = 2 2 x a. What angle does the line y = 2 2 x make with the positive x -axis ? b. Suppose that the x - and y -axes are rotated through an angle of 45 ° to form the x' - and y ' -axes . Write the equation y = 2 2 x in terms of x ' and y ' . c. Suppose that the x - and y -axes are rotated through an angle of 90 ° to form the x ' - and y ' -axes . Write the equation y = 2 2 x in terms of x ' and y ' .
Given y = 2 2 x a. What angle does the line y = 2 2 x make with the positive x -axis ? b. Suppose that the x - and y -axes are rotated through an angle of 45 ° to form the x' - and y ' -axes . Write the equation y = 2 2 x in terms of x ' and y ' . c. Suppose that the x - and y -axes are rotated through an angle of 90 ° to form the x ' - and y ' -axes . Write the equation y = 2 2 x in terms of x ' and y ' .
Solution Summary: The author compares the equation with the standard equation of line, y=sqrt22.
a. What angle does the line
y
=
2
2
x
make with the positive
x
-axis
?
b. Suppose that the
x
-
and
y
-axes
are rotated through an angle of
45
°
to form the x'- and
y
'
-axes
. Write the equation
y
=
2
2
x
in terms of
x
'
and
y
'
.
c. Suppose that the
x
-
and
y
-axes
are rotated through an angle of
90
°
to form the
x
'
-
and
y
'
-axes
. Write the equation
y
=
2
2
x
in terms of
x
'
and
y
'
.
Thomas' Calculus: Early Transcendentals (14th Edition)
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