Question

In: Math

RATES: 2.1 Q:1 A) A stone dropped into a still pond sends out a circular ripple...

RATES: 2.1 Q:1

A) A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 2.3 ft/s.

How rapidly is the area enclosed by the ripple increasing when the radius is 2 feet?

The area is increasing at

B) Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 8 mi^2/hr. How rapidly is radius of the spill increasing when the area is 5 mi^2?

The radius is increasing at

C) A 15 ft ladder leans against a wall. The bottom of the ladder slides away from the wall at a rate of 2ft/sec

How fast is ladder sliding down the wall when the base of the ladder is 66 ft away from the wall?

Solutions

Expert Solution


Related Solutions

1. A rock is thrown into a still pond and causes a circular ripple. if the...
1. A rock is thrown into a still pond and causes a circular ripple. if the radius of the ripple is increasing at a rate of 2 feet per second, how fast is the circumference when the radius is 19 feet? Change in circumference=? 2. Let f(t)=5t^2=5t a) Find f(t+h): b) Find f(t+h)-f(t): c) Find f(t+h)-f(t)/h : d) Find f'(t):
A 2 kg stone is dropped from a 50-m-tall building. Simultaneously, a second 1 kg stone...
A 2 kg stone is dropped from a 50-m-tall building. Simultaneously, a second 1 kg stone is thrown horizontally from the building at a speed of 15 m/s, as shown in the figure. Calculate the x position of the center of mass of the two-stone system the moment after they are set in motion. Calculate the y position of the center of mass of the two-stone system the moment after they are set in motion. Calculate the x position of...
Q. Compare and contrast Ripple-Carry Adder and Carry-Look ahead Adder 1) In a 4-bit ripple-carry adder...
Q. Compare and contrast Ripple-Carry Adder and Carry-Look ahead Adder 1) In a 4-bit ripple-carry adder as shown in Figure 5.2, assume that each full-adder is implemented using the design as shown in Figure 3.11 (a) and each single logic gate (e.g., AND, OR, XOR, etc.) has a propagation delay of 10 ns. What is the earliest time this 4-bit ripple-carry adder can be sure of having a valid summation output? Explain how you reached your answer and how you...
Q.1) Projectile motion:A stone is thrown vertically into the air off the edge of a bridge...
Q.1) Projectile motion:A stone is thrown vertically into the air off the edge of a bridge 150ft above a river. If the initial velocity of the rock is 64ft/sec (upward0 and the accleration is constant -32ft/sec2 (downward), find the following: a. the velocity v(t) after t seconds. b. The position s(t) of the stone above the river after t seconds. c. The velocity at which the stone strikes the water.
1. A school administrator sends out grade school students to sell boxes of candy to raise...
1. A school administrator sends out grade school students to sell boxes of candy to raise funds. Below is a selection of four students and the mean number of boxes they sold over a weekend. The administrator wants to calculate the average number of boxes sold across students, but wants to weight this by the number of nearby houses (because students with more houses nearby will sell more boxes). For these data, what is the weighted mean? Mean Candy sold...
1 a). In a recent New York City marathon, 25,221 men finished and 253 dropped out....
1 a). In a recent New York City marathon, 25,221 men finished and 253 dropped out. Also, 12,883 women finished and 163 dropped out (based on the data from the New York Times). Use a 0.01 significance level to test the claim that the rate of those who finish is the same for men and women. 1. State the null hypothesis Ho and alternative hypothesis Ha. 2. Find the test statistic. 3. Find the P-value. 4. Make a decision -...
Q 1 Explain the difference between spot exchange rates and forward exchange rates. Briefly explain how...
Q 1 Explain the difference between spot exchange rates and forward exchange rates. Briefly explain how the forward exchange market works.
1. Two researcher want to find out whether there is a difference among graduation rates (these...
1. Two researcher want to find out whether there is a difference among graduation rates (these are in percentages) of five colleges over a 10-year period. Using the Data set below, determine if there a difference between colleges? Do this manually and show all eight steps in computing. (HINT: There is one variable being examined (i.e. graduation rates) for more than two groups (i.e. college 1, 2, 3, 4, 5) that are tested only once). College 1 College 2 College...
1. Two researcher want to find out whether there is a difference among graduation rates (these...
1. Two researcher want to find out whether there is a difference among graduation rates (these are in percentages) of five colleges over a 10-year period. Using the Data set below, determine if there a difference between colleges? Do this manually and show all eight steps in computing. (HINT: There is one variable being examined (i.e. graduation rates) for more than two groups (i.e. college 1, 2, 3, 4, 5) that are tested only once). College 1 College 2 College...
Question 1. (Interest Rates and Bond Valuation) (1) Find out values of following bonds. YTM is...
Question 1. (Interest Rates and Bond Valuation) (1) Find out values of following bonds. YTM is 7%, and Time to maturity is 10 years Bond A: 3.5% of coupon paid semiannually, Face value = $1,000,000 Bond B: 0% of coupon, Face value = $5,000,000 Bond C: 10% of coupon paid annually, Face value = $3,500,000 (2) Suppose you will receive money of $ 20,000 worth of purchasing power for 5 years. The first payment will be given at the end...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT