For Exercises 5-20, use the point-slope formula to write an equation of the line having the given conditions. Write the answer in slope-intercepts form (if possible). (See Example 1-2) Passes through − 4 7 , 3 10 and the slope is undefined .
For Exercises 5-20, use the point-slope formula to write an equation of the line having the given conditions. Write the answer in slope-intercepts form (if possible). (See Example 1-2) Passes through − 4 7 , 3 10 and the slope is undefined .
Solution Summary: The author explains how to calculate the equation of the line passing through (-47) and whose slope is undefined.
For Exercises 5-20, use the point-slope formula to write an equation of the line having the given conditions. Write the answer in slope-intercepts form (if possible). (See Example 1-2)
Passes through
−
4
7
,
3
10
and the slope is undefined
.
Formula Formula Point-slope equation: The point-slope equation of a line passing through the point (x 1 , y 1 ) with slope m , is given by the following formula: y - y 1 = m x - x 1 Example: The point-slope equation of a line passing through (2, -6) with slope 5 is given by: y - (-6) = 5(x - 2) y + 6 = 5(x - 2)
4. Use method of separation of variable to solve the following wave equation
მłu
J²u
subject to
u(0,t) =0, for t> 0,
u(л,t) = 0, for t> 0,
=
t> 0,
at²
ax²'
u(x, 0) = 0,
0.01 x,
ut(x, 0) =
Π
0.01 (π-x),
0
Solve the following heat equation by method of separation variables:
ди
=
at
subject to
u(0,t) =0, for
-16024
ძx2 •
t>0, 0 0,
ux (4,t) = 0, for
t> 0,
u(x, 0) =
(x-3,
\-1,
0 < x ≤2
2≤ x ≤ 4.
ex
5.
important aspects.
Graph f(x)=lnx. Be sure to make your graph big enough to easily read (use the space given.) Label all
6
33
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