Question

Find the parametrization of the line through (3,9) with slope 11 for given ?(?)=2?.

Answer #1

1).Find the parametrization of the line through (2,8) with slope
13 for given ?(?)=4?.
(Use symbolic notation and fractions where needed.)
2). Use the formula for the slope of the tangent line to find
??/?? of ?(?)=(sin(6?), cos(7?)) at the point ?=?/2
(Use symbolic notation and fractions where needed.)
3).Find the equation of the tangent line to the cycloid
generated by a circle of radius ?=1 at ?=5?/6.
(Use symbolic notation and fractions where needed. )
4). Let ?(?)=(2?^2−3,4?^2−16?). Find...

Find a parametrization for the line perpendicular to (2, −1, 1),
parallel to the plane 2x + y − 6z = 1, and passing through the
point (1, 0, −3). (Use the parameter t. Enter your answers as a
comma-separated list of equations.)

Find the slope of the tangent line to the cuve sqrt(7x+y) +
sqrt(3xy) = 11 at the point (3,4).
The slope of the tangent line to the curve at the given point
is:

Question 14
A line has a slope of − 2 and passes through the point ( 3 ,
4 ) . Give the equation of the line in slope-intercept form.
a) y = − 2 x + 9
b) y = − 2 x + 11
c) y = − 2 x + 10
d) y = − 2 x + 12
e) y = − 2 x + 8
f) None of the above.
Question 13
The line with...

1. Find the slope of the line having the given equation.
3x+8y=24
2. Graph the line containing the given pair of points and find
the slope.
(55,44),
(negative 2−2,negative 5−5)
3. Graph the line containing the given pair of points and find
the slope.
(0,0),(5,3)
4.
A manufacturer has fixed costs (such as rent and insurance)
of
$30003000
per month. The cost of producing each unit of goods is
$55.
Give the linear equation for the cost of producing x...

Find a parametrization for the line perpendicular to
(4, −1, 1),
parallel to the plane
4x + y −
8z = 1,
and passing through the point
(1, 0, −7).
(Use the parameter t. Enter your answers as a
comma-separated list of equations.)

a) Find the arc length parametrization of the line x=-2+4t,
y=3t, z=2+t that has the same direction as the given line and has
reference point (-2,0,2).
Use an arc length S as a parameter. x= y= z= b) Use the
parametric equations obtained in part (a) to find the point on the
line that is 20 units from the reference point in the direction of
increasing parameter.
x=
y=
z=
b) Use the parametric equations obtained in part (a) to...

Find an equation of the line that passes through the given point
and has the indicated slope ( 6 ,5\4 ) m = 0
Sketch the line.

A) Write a? slope-intercept equation for a line that passes
through
(?3,1) and (3,?11).
B) Solve the following equation.
9x?3+5x=5x+5?7x

Tangent Line Quiz
Find the slope and the equations of the tangent lines to the
given curves at each of the given points.
1. ? = 2 cos ? ? = 3 sin ?
a. ? = ?/4
b. ? = ?/2
2. ? = cos 2? ? = sin 4?
a. ? = ? /4
b. ? = ?/2

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