Question

1- A spherical balloon is inflated so that its volume is increasing at the rate of 3.8 ft3/minft3/min. How rapidly is the diameter of the balloon increasing when the diameter is 1.5 feet? The diameter is increasing at ft/min.

2- A 16 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 3 ft/s, how fast will the foot be moving away from the wall when the top is 12 feet above the ground?

The foot will be moving at ft/s.

3-Use implicit differentiation to find an equation of the tangent line to the curve

sin(?+?)=4?−4? at the point (?,?).sin(x+y)=4x−4y at the point (π,π).

Tangent Line Equation:

4- At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 22 knots and ship B is sailing north at 15 knots. How fast (in knots) is the distance between the ships changing at 6 PM? find The distance is changing at knots.

5- 2?^2−4?+4= for 0 ≤ t ≤ 9 denote the position of an object moving along a line. Find

- The velocity at time ?t is
- The acceleration at time ?t is
- Find the initial position and the ending position
- Find the total distance traveled by the object

- Find where the velocity is positive Use interval notation.
- Find where the acceleration is positive Use interval notation.

If the answer includes more than one interval write the
intervals separated by the “union” symbol, U. If needed enter ∞∞ as
*INF* and −∞−∞ as *-INF*.

Answer #1

please don't answer unless you can do all parts, circle answer
and show work please
part 1)
A 13 foot ladder is leaning against a wall. If the top slips
down the wall at a rate of 3 ft/s, how fast will the foot be moving
away from the wall when the top is 9 feet above the ground? The
foot will be moving at ft/s.
part 2)
Oil spilled from a ruptured tanker spreads in a circle whose
area...

A spherical balloon is inflated so that its volume is increasing
at the rate of 3.4 ft^3/min.
How rapidly is the diameter of the balloon increasing when the
diameter is 1.7 feet?

At noon, ship A is 150 km west of ship B. Ship A is sailing east
at 35 km/h and ship B is sailing north at 30 km/h. How fast is the
distance between the ships changing at 4:00 PM?
Gravel is being dumped from a conveyor belt at a rate of 30
ft3/min, and its coarseness is such that it forms a pile
in the shape of a cone whose base diameter and height are always
equal. How fast...

A balloon is rising vertically above a level, straight road at a
constant rate of 1 ft/sec. Just when the balloon is 69ft above the
ground, a bicycle moving at a constant rate of 18ft ft/sec passes
under it. How fast is the distance (t) between the bicycle and
balloon increasing 3 seconds later?

please don't do this unless you can do all parts, circle answer
and show work please
part 1)
Assume x and y are functions of t. Evaluate
dy/dt given that
y^2−8x^3=225 dx/dt=5, x=−3, y=3
Answer: dy/dt=
part 2)
Assume x and y are functions of t. Evaluate dy/dt given that
5xy+ sqrt(2x+y)=48 dx/dt=-4; x=3 ,y=3.
Answer: dy/dt=
part 3)
Suppose that for a company manufacturing calculators, the cost,
and revenue equations are given by
C=70000+40x, R=400−x^2/30,,
where the production output in...

1. (5pts.) Compute the derivative dy/dx for y = 7√ 9π +
x ^5 /6 + 27e^x .
3. (5pts.) Write the equation of the tangent line to the
graph of y = 3 + 8 ln x at the point where x = 1.
4. (5pts.) Determine the slope of the tangent line to
the curve 2x^3 + y^3 + 2xy = 14 at the point (1, 2).
5. (5pts.) Compute the derivative dw/dz of the function
w =...

ch 6
1:
It is generally a good idea to gain an understanding of the
"size" of units. Consider the objects and calculate the kinetic
energy of each one.
A ladybug weighing 37.3 mg
flies by your head at 3.83 km/h
.
×10
J
A 7.15 kg
bowling ball slides (not rolls) down an alley at 17.5 km/h
.
J
A car weighing 1260 kg
moves at a speed of 49.5 km/h.
5:
The graph shows the ?-directed force
??...

Please answer the following Case
analysis questions
1-How is New Balance performing compared to its primary rivals?
How will the acquisition of Reebok by Adidas impact the structure
of the athletic shoe industry? Is this likely to be favorable or
unfavorable for New Balance?
2- What issues does New Balance management need to address?
3-What recommendations would you make to New Balance Management?
What does New Balance need to do to continue to be successful?
Should management continue to invest...

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