1.Water is poured into a conical funnel at a rate of 1 cm3/s. The radius of the top of the funnel is 10 cm and the height of the funnel is 20 cm. Find the rate at which the water level is rising when it is 5 cm from the top of the funnel.

I know that I am suppose to use the volume of the cone

V=1pi r2h
3

2.A light is on the ground, 15 m from a wall. A woman, 1.6 m tall, walks away from the light and towards the wall at o.5 m/s. Calculate the rate of the change of the length of her shadow on the wall when the woman is 10 m from the wall.

I know that I should find the rate at which the tip of her shadow is moving.

3.A pulley is suspended 13.5 m above a small bucket of cement on the ground. A rope is put over the pulley. One end of the rope at a constant height (1.5 m) and walks away from beneath the pulley at 1.6 m/s. How fast is the bucket rising when he is 9 m away from the path of the rising cement bucket?

Related rates are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

Two carts A and B are connected by a rope 39 feet long that passes over pulley P. The point Q is on the floor directly beneath P and between the carts. Cart A is being pulled away from Q at a speed of 2 ft/sec. How fast is cart B moving toward Q at the instant cart A is 5 feet from Q?
Express solution using related rate n

Imagine you are a money manager hoping to accumulate portfolio yield. Since you anticipate that the current short-term interest rates will increase more than the current yield curve, explain whether you would you rather pay a determined long-term rate and have a floating short-term rate or vice-versa.

A waffle cone has a height of 6in with a radius at the top being 1 inch. A spherical scoop of ice cream is placed on top of the cone and melts into the cone. At a particular instant of time, the radius of the ice cream is 3/2 inch and is decreasing by 1/100 in/min. At this same time, the height of the melted ice cream in the

Please see the attached file for the fully formatted problems.
4. Go to a financial website (for exmaple, finance.google.com), pick your favorite stock. By denote the price at which the stock was exchanged at time where is measured in seconds from last Friday midday. What does mean? What does mean? Estimate the average rat

1) A particle is moving in R^3 so that at time t its position is r(t) = (6t, t^2,t^3).
a. Find the equation of the tangent line to the particle's trajectory at the point r(1).
b. The particle flies off on tangent at t0 = 2 and moves along the tangent line to its trajectory with the same velocity that it had at time 2. (Note:

18-8. Inflation and ExchangeRates. Suppose the current exchange rate for the Russian
ruble is ruble 29.15. The expected exchange rate in three years is ruble 31.02. What
is the difference in the annual inflation rates for the United States and Russia over
this period? Assume that the anticipated rate is constant for both cou

What are interest rate fundamentals? Explain term structure and risk premiums. How do these concepts come into play in the real world (mortgage rates, bond prices, etc.)?

See the attached file.
The function has one critical number. Find it.
A student decided to depart from Earth after his graduation to find work on Mars. Before building a shuttle, he conducted careful calculations. A model for the velocity of the shuttle, from liftoff at t = 0 s until the solid rocket boosters were jettisone

2. Calculate a table of interest rates based on the following information:
•The pure interest rate is 2.5%.
•Inflation expectations for year 1 = 2%, year 2 =4%, years 3-5 =5%.
•The default risk is .1% for year one and increases by .1% over each year.
•Liquidity premium is 0 for year 1 and increases by .15% each yea