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Your question is fairly vague, but I'm interpreting it as:What is the range of y=12cos(x)?Shortform:-1212(pi)/6-->6sqrt(3)~10.392(pi)/4-->6sqrt(2)~8.485(pi)/3-->6(pi)/2-->02(pi)/3-->-63(pi)/4-->-6sqrt(2)~-8.4855(pi)/6-->-6sqrt(3)~-10.392(pi)-->-12If you continue this, you'll notice that the values keep switching back and forth from 12 to -12 then back to 12, passing through all the values in between. This is to be expected, because if you look at the graph of cosine (as well as sine), it oscillates back and forth between two values, giving it a wave-like appearance. From this you can easily surmise that the maximum value that 12cos(x) will ever reach is 12 and the minimum it will ever reach is -12, giving you the range [-12,12].Conceptually, if you examine just the function cos(x), you realize that it oscillates back and forth between -1 and 1. So the function 12cos(x) will just take whatever results from cos(x) and multiply it by 12. Since the range of cos(x) is [-1,1], the range of 12cos(x) will just be 12 times the range of cos(x), [-12,12]. This works for any numerical amplitude modification of a sine or cosine function (putting a number in front of the function). The range of 5cos(x) would be [-5,5], the range of (pi)cos(x) would be [-(pi),(pi)], and so on for any real number.
The answers depend on the exact job you apply for and the agency that offers the job. Read the job summaries of the job openings listed on the Employment page. This will give you an idea of the variety of responsibilities the employee will have as well as the minimum requirements to apply for the job.
∫ cot(x) dx is written as: ∫ cos(x) / sin(x) dx Let u = sin(x). Then, du = cos(x) dx, giving us: ∫ 1/u du So the integral of 1/u is ln|u|. So the answer is ln|sin(x)| + c
In general, if you're taking the derivative with respect to X, then you take the current power of X, multiply the given quantity by that number and then subtract one from the current power. In this case, that's an overcomplicated way of describing what happens but here's the process: 5x is more fully 5*x^1 So you take the power (1) and multiply it it by the given quantity. This gives you 1*5*x^1 Now you subtract one from the current power giving you 1*5*x^0 which equals 5. So the answer is simply 5 in this case. But what if you were trying to find the derivative of 4x^7? In this case, you would multiply the quantity by 7 (giving you 7*4*x^7) and subtract 1 from the current power giving you a final answer of 28*x^6. This also works for negative powers and square roots. The derivative of sqrt(x) can be found by recognizing that this is equal to x^(1/2). So you multiply everything by 1/2 and subtract one from the power and get 1/2 * x^(-1/2) which equals 1/2 * 1/sqrt(x) = 1/(2*sqrt(x))
The noun 'pleasure' is the subject of the sentence; the gerund 'giving' is the object complement, renaming the subject.
The noun function of the gerund, giving, can be as the subject, the direct or indirect object of a sentence, or the object of a preposition. Examples:Subject: Giving will lift your spirits if you are helping others.Direct object: His greatest gift was the giving of himself to others.Indirect object, object of a preposition: Bill Gates is now famous for giving to charity.
There is nothing unusual about getting a sensation of pleasure from giving pleasure.
Giving a male pleasure with your hand
A Hedonist. http://en.wikipedia.org/wiki/Hedonism
as long as they get it back
Cunnilingus is the act of licking or sucking (giving oral pleasure) to a vagina. Falitio is the act or giving oral pleasure to a penis. She did not do cunnilingus to a man! Cunnilingus is the act of licking or sucking (giving oral pleasure) to a vagina. Falitio is the act or giving oral pleasure to a penis. She did not do cunnilingus to a man!
by giving raina the Pleasure she is asking for.
It is good if the person you are giving it too get pleasure from it.
You might not like it but the person your giving it to should. If you make them happy you should be happy to.
Ah, the ubiquitous gerund. Gerunds are verbs ending in 'ing. So, it's 'giving'. Gerunds are, particularly, these forms used as "action nouns", as in the question. Doesn't this produce some interesting tension between the ideas of noun and verb? It certainly does for me.
Auto-sanitizing, pleasure-giving enzymes.