Math Is Fun Forum

Find the period of the following functions
a)f(x) = sin 4x + cos 4x,
b)g(x) = |sin 4x| + |cos 4x|,
c)h(x) = sin 4x + cos 6x.

Thanks in Advance

One travels company flies three kinds of airplanes: the Airbus 100, the Airbus 200, and the Airbus 300. Each plane is outfitted with tourist, economy, and first-class seats. The number of each kind of seat in the three types of planes is shown below. The second chart lists the number of reservations for its July flight to France. How many of each kind of plane should the company fly to fill all the seats?

                          Airbus A        Airbus B            Airbus C
     Tourist                 50              75                  40
     Economy              30              45                  25
     First Class            32              50                  30

Category                 Number of reservations
Tourist Class                305
Economy Class             185
First Class                    206

Is there any number which satisfy a^3+b^3=c^3?

Where a,b,c are not equal to 0.

Thanks in advance.

An acrobat is shot out of a cannon and lands in a safety net that is 10 feet above the ground. Before being shot out of the cannon, she was 4 feet above the ground. She left the cannon with an initial upward velocity of 50 feet per second. Find the time t (in seconds) it takes for her to reach the net. Explain why only one of the two solutions is reasonable.

Thanks in advance

Give an example of a function on a closed interval which satisfies the conclusion of the Mean Value Theorem, but not the hypothesis.

Thanks in advance

Please help me with that.....

Give an example of a function on a closed interval which satisfies the conclusion of the Mean Value Theorem, but not the hypothesis.

Thanks in Advance

Hi all,

Can anyone help me with these problems?

Please!!!!!!!!!!!!!!!!!!

1. In a single throw of two dice, what is the probability that neither a doublet nor a 7 will appear?

2.Seven dice are rolled. Calling a 5 or 6 a success, find the probability of getting
(a) exactly 4 successes;
(b) at most 4 successes.

3. If a die is thrown repeatedly, what is the probability that a 6 is obtained before a 1 turns up?

4.A coin is tossed repeatedly. Find the probability that the fourth head appears on the eleventh toss.

5.Four statisticians arrange to meet at the Grand Hotel in Paris. It happens that there are 4 hotels with that name in the city. What is the probability that all the statisticians will choose different hotels?

6.A family has 6 children. Find the probability that there are fewer boys than girls. Assume that the probability of the birth of either sex is ½.

Thanks in advance