Question

Z
varies directly as x^3 and inversely as y^3. If z=240 when x=3 and
y=6, find z when x=5 and y=4.

Answer #1

12. y varies directly as x. y = 12 when x = 5.
Find y when x =2
Y = _?__ (Simplify your answer).
13.
y varies directly as x and inversely as the square of z. y =48
when x =64 and z= 4. Find y when x= 2 and z =4.
Y = _?__ (Simplify your answer. Type an integer or a simplified
fraction).

(a) If y varies inversely with x3
and y = 310 when x = 2, find an equation to
represent this relationship.
y
=
(b) Find y when x = 3. (Round your answer to two
decimal places.)
y =
(c) Find x when y = 38.75.
x =

Variation
Direct Variation y = kx is equivalent to the statements
y varies directly as x
y is directly proportional to x
Worksheet
1. The number of patients Dr. Wong can see varies directly as
the time it takes her to see them. If she can see 11 patients in 3
hours, how long it take her to see 66 patients?
2. The speed of a vehicle varies inversely as the time it takes
to travel a fixed distance. If...

The electrical resistance of a wire varies directly with the
length of the wire and inversely with the square of the diameter of
the wire. If a wire 50 feet long and 3 millimeters in diameter has
a resistance of 0.255 ohm, find the length of a wire of the same
material whose resistance is 0.147 ohm and whose diameter is 2.5
millimeters.

The following table show the data on three variables X, Y and
Z
X
6
5
3
5
7
Y
1
2
3
4
3
Z
2
3
2
3
2
Given that X is a function of Y and Z, find the multiple
regression equation, hence find the
value of X when Y and Z are 5 and 4, respectively.

The following table show the data on three variables X, Y and
Z
X
6
5
3
5
7
Y
1
2
3
4
3
Z
2
3
2
3
2
Given that X is a function of Y and Z, find the multiple
regression equation, hence find the
value of X when Y and Z are 5 and 4, respectively.

Find all lambda such that the system of equations
-6⋅x+(-10)⋅y+6⋅z= lambda ⋅x, 5⋅x+9⋅y+1⋅z= lambda ⋅y, 0⋅x+0⋅y+5⋅z=
lambda ⋅z has a non-zero solution (x,y,z).

Find the point of intersection of the lines (x-2) / - 3 = (y-2)
/ 6 = z-3 y (x-3) / 2 = y + 5 = (z + 2) / 4. Write the answer as
(a, b, c).

Let y=300∗1.84^x+250x and z=y^2+y. Find dz/dx when x=6.

Find the point of intersection of the lines (x-2) / - 3 = (y-2) / 6
= z-3 y (x-3) / 2 = y + 5 = (z + 2) / 4. Write the answer as (a, b,
c). If they are not cut, write: NO

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