For exercises 37-44, write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form (if possible) and in standard form A x + B y = C with fractional coefficients. (See Example 3-4) Passes through 6 , − 4 and is perpendicular to the line defined by x − 5 y = 1.
For exercises 37-44, write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form (if possible) and in standard form A x + B y = C with fractional coefficients. (See Example 3-4) Passes through 6 , − 4 and is perpendicular to the line defined by x − 5 y = 1.
Solution Summary: The author calculates the equation of the line passing through (6,-4) and perpendicular to
For exercises 37-44, write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form (if possible) and in standard form
A
x
+
B
y
=
C
with fractional coefficients. (See Example 3-4)
Passes through
6
,
−
4
and is perpendicular to the line defined by
x
−
5
y
=
1.
4. Suppose that the population of a certain collection of rare Brazilian ants is given by
P(t)=(t+100) In(t+2),
Where t represents the time in days. Find and interpret the rates of change of the population on the third day
and on the tenth day.
Find all values of x for f (x)=(x²-4) 4 where the tangent line is horizontal.
5. Find the slope of the tangent line to the graph of f(x)=-√8x+1 at x=1. Write the equation of the tangent
line.
3. Find the derivative of each function. Label with appropriate derivative notation showing both dependent and
independent variables.
f(t)=4t(2t⭑+4)³
a. f(t)=4t (2t+4)³ (Answer must be factored.)
b.
y=
3
1
(2x³-4)
6
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