Open Question: Calculus with related rates?

Open Question: Calculus with related rates?

related rates problems. I do not remember how to do them so if you could please explain how you got an answer that would be much appreciated

problem 1:
The radius of a circle is increasing at a nonzero rate, and at a certain instant, the rate of increase in the are of the circle is numerically equal to the rate of increase in its circumference. at this instant, the radius of the circle is?

problem 2:
The diameter and height of a paper cup in the shape of a cone are both 4 inches. water is leaking out at a rate of 1/2 cubic inch per second. Find the rate at which the water level is dropping when the diameter of the surface is 2 inches.

problem 3:
A railroad track and a road cross at right angles. An observer stands on the road 70 meters south of the crossing and watches an eastbound train traveling at 60meters per second. At how many meters per second is the train moving away from the observer 4 seconds after it passes the intersection?

problem 4:
A family standing on the ground is watching a jet approach. The jet is approaching at a rate of 12 miles per minute at an altitude of 8 miles.
a) At what rate is the straight-line distance between the family and the jet changing when the jet is 16 miles from the family?

b) At what rate (in radians per minute) is the angle of altitude changing when the straight-line distance from the jet to the family is 36 miles?

please help me with these problems. my AP exam is coming up in a few weeks and I don't remember how to do this stuff.


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Open Question: Easy problems related to Newton's Laws, Help please!!!!?

Open Question: Easy problems related to Newton's Laws, Help please!!!!?

Suppose you are standing in the aisle of a bus that travels along a straight road at 100 km/ hr. If you hold a pencil still above your head. Then relative to the bus, the velocity of the pencil is 0 km/ hr, and relative to the road, the pencil has a horizontal velocity of:
a) less than 100 km/ hr
b) 100 km/ hr
c) more than 100 km/ hr

Suppose you release the pencil. While it is dropping, and relative to the road, the pencil still has a horizontal velocity of:
a) less than 100 km/ hr
b) 100 km/ hr
c) more than 100 km/ hr

This means that the pencil will strike the floor at a place directly:
a) behind you
b) at your feel below your hand
c) in front of you

Relative to you, the way the pencil drops
a) is the same as if the bus were at rest
b) depends on the velocity of the bus


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Open Question: How is non shattering glass used in physics? or related to physics?
Open Question: Question related to Counting:?

Open Question: Question related to Counting:?

1) two different letters, so you first have 26 choices then (26 - 1) = 25 choices. then for the numbers you follow a similar pattern, 10 choices, then 9, then 8. multiply all these together to get

468000 possibilities

2) 26 x 25 x 9 x 9 x 8 = 421200 possibilities

to the guy above me, he said DIFFERENT letters and numbers so you cannot say 26 x 26 x 10 x 10 x 10, you have to say 26 x (26 - 1) (as you took away one choice with the initial letter) x 10 x (10 - 1) (since you took away one choice with the initial number) x (10 - 2) (as you took away another choice with the previous number). as for the second part it is 26 x 25 x 9 (10 digits - 1 because of 0) x 9 (9 digits minus the one you just used + 1 because you can now use 0) x 8


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Open Question: Related to Permutations and Combinations:?

Open Question: Related to Permutations and Combinations:?

Home >All Categories > Science & Mathematics >Mathematics >Open QuestionBilli Haq Billi Haq Member since:April 10, 2011Total points:75 (Level 1)a.) Find the number of ways in which five persons can sit in a row.
b.) How many ways are there if two of the persons insist on sitting next to each other?
c.) Solve part (a) assuming they sit around a circular table.
d.) Solve part (b) assuming they sit around a circular table.Answer Question

Be the first to answer this question.


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Open Question: How are codons and anticodons related?
Open Question: Science question: related to evolution?

Open Question: Science question: related to evolution?

Homo-Habilis

inhabited parts of sub-Saharan Africa about 2 million to 1.5 million years ago. Homo-habilis is generally accepted as the earliest member of the genus Homo. He is following Australopithecus and preceding Homo-erectus. He was given the name Homo habilis, meaning 'handy man', because he made tools. We think that he was the first creature to make tools for specific purposes. Like if he needed a sharp edge to cut meat, he would strike two pieces of flint against each other, and the pieces that broke away would usually have a sharp edge, instant Knife.

he seems to have been restricted to the African tropics for the first several hundred thousand years of his existence, but eventually, By about 500,000 years ago, he began to gradually migrate into Asia and parts of Europe. Homo erectus or 'upright man', was the first creature to stand fully upright. He was probably also the first to use fire. We think that Homo erectus built campfires and may have made simple ovens with hot stones.

Homo-erectus

appears to have ranged widely over the Earth. Erectus fossils were first found at Trinil on the island of Java; other finds were near Peking in China, at Ternifine in Algeria, and at Olduvai Gorge and Koobi Fora in eastern Africa. In northwestern Africa at Salé, Sidi 'Abd ar-Rahman, and Rabat, all in Morocco. Specimens from Europe were discovered at Bilzingsleben and Mauer (both in Germany), and Petralona (Greece).

There are other fossils, that seem to represent subspecies of Homo-sapiens (the next in line) dating from the late Middle or early Late Pleistocene, and these are found in Africa at Kabwe (Broken Hill), Elandsfontein - the Cave of Hearths, Lake Ndutu, Omo, and Bodo, and in Europe at Swanscombe, Steinheim, Biache, Ehringsdorf, La Chaise, and Vértesszollos. It is among these that the line of distinction between Homo-erectus and Homo-sapiens becomes dim, for it seems that these are the creatures that represent the gradual progression from Homo-erectus to Homo-sapien.

It is not known exactly when Homo-erectus became extinct, but a site called Terra Amata, located on the French Riviera, and which lies on an ancient beach. Seems to have been occupied by Homo-erectus, it contains the earliest "least disputed" evidence of controlled fire, dated at around 300,000 years B.C.

Homo-sapiens

Homo sapiens are distinguished from other animals and from earlier humanoid species by characteristics and habits such as bipedal stance and gait, brain capacity averaging about 82 cubic inches, high forehead, small teeth and jaw, defined chin, construction and use of tools, and the ability to make use of symbols such as used in language and writing. Some of these features were possessed by the immediate ancestor, Homo erectus; but in the aggregate they are characteristic only of Homo sapiens.

Homo sapiens, “man the wise,” is the only currently existing species of the genus Homo. It is difficult, if not impossible, to follow the evolutionary steps that led to modern man in the fossil record. Charles Darwin himself defined the problem. “In a series of forms graduating insensibly from some ape-like creatures to man as he now exists, he wrote in The Descent of Man, it would be impossible to fix on any definite point when the term "man" ought to be used.”

I really tried to make it simple, Hope that Helps.... Good Luck


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