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Calculus
The branch of mathematics that deals with the study of continuously changing quantities, with the use of limits and the differentiation and integration of functions of one or more variables, is called Calculus. Calculus analyzes aspects of change in processes or systems that can be modeled by functions. The English physicist, Isaac Newton, and the German mathematician, G. W. Leibniz, working independently, developed calculus during the 17th century.
25,068 Questions
How do you derive the formula for the simple EOQ model?
The simple, or basic, economic order quantity (EOQ) is a special case of the continuous rate EOQ, which can be derived from the equation of total cost as follows.
Here is the equation for total cost (TC) as a function of run size (q):
TC(q) = K*D/q + P*D + q*H(r - D)/(2r), where:
K = Fixed cost per order
D = Annual Demand of product
q = run size
P = Purchasing cost per unit
H = Annual holding cost per unit
r = Production rate
K*D/q = Setup cost
P*D = Purchasing cost
H(r - D)/(2r) = holding cost.
To find the maximum value of q, you take the derivative, d[TC(q)]/dq, set it equal to zero, and solve for q.
First, take the derivative:
d[TC(q)]/dq = -K*D/q2 + H(r - D)/(2r).
Then, to maximize, set this equal to zero, and solve for q:
H(r - D)/(2r) - K*D/q2 = 0,
q2 = (2*r*K*D)/[H(r - D)],
q = √((2*r*K*D)/[H(r - D)]).
That's the formula for the continuous rate EOQ.
Basic EOQ is the special case of r >> D, which means r - D pretty much equals r, which allows you to cancel the r's in the above equation, giving you the formula:
q = √((2*K*D)/H).
This is the formula for basic EOQ.
10y = x
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How do you solve for z if 15yz?
There is no equation (or inequality) to solve. 15yz is an expression and an expression cannot be solved.
What is the graph of reciprocal function of function of x is equal to one over x minus one?
If f(x) = 1/(x-1)
then
f-1(x) = (1/x) +1
PS...Type your question more clearly.
What is the value of y equals 2x when x equals 4?
y=8
y = 2x
y = 2(4) <-- substitute 4 for x
y = 8 <-- this is your answer
Is it possible for graph of function to cross the horizontal assymptotes?
When you plot a function with asymptotes, you know that the graph cannot cross the asymptotes, because the function cannot be valid at the asymptote. (Since that is the point of having an asymptotes - it is a "disconnect" where the function is not valid - e.g when dividing by zero or something equally strange would occur). So if you graph is crossing an asymptote at any point, something's gone wrong.
How much would 72 percent be in grades?
Not sure if I understand your question...but that would be a grade of 'C'
I'm assuming that you're wondering how tall you are likely to be. Since your father is average height for men, and your mother is slightly short for women, the odds are that you will be about the same height as your same-sex parent. If you are female, you might be Slightly taller than your mother. If you are male, you might be Slightly shorter than your father. About 150 years ago, a Monk named Gregor Mendel did some experiments on peas and fruit flies that proved the basic Laws of Genetics. Since that time, other scientists have refined his laws. Genetics is a fascinating subject, and well worth some time spent learning about it. In a nutshell, and pertaining to your question, the Laws of Genetics state that Tall is dominant over Short. Each child gets two batches of genes; one from his/her mother's egg, and one from his/her father's sperm. If the father passes on a gene for Tall, and the mother donates a gene for Short, the baby will grow up to be Tall, since the "Tall" gene from the father dominated the "Short" gene from the mother. So far, so good. However the gene that is Not obvious is still there. It's what is called Recessive. A Tall person could have a "Short" gene lurking in his/her genetic code, gotten from a short parent (or a tall parent with a short ancestor), and available to be passed on to the offspring . Also, "short" and "tall" are relative. A Watusi with a "Short" gene could be taller than an Italian with a "Tall" gene, because Watusis tend to be taller people than Italians to begin with. What this means is that, unless a baby comes from a pair of blonde, blue eyed, short people (all recessive), how he/she will look is an absolutely guaranteed, positively proven Crap Shoot. Only a Geneticist, working in a lab, could predict with any certainty how a child will look. In your case, though, you seem to have gotten a "short" gene from your short mother, and, depending on your ethnic background, possibly a "tall" gene from your father, if he comes from a relatively short ethnic group. Therefore, the odds are that you will be no taller than your father. Of course, other things in your Biology are at work, modifying your genes (otherwise, there would be just two heights of humans; all tall people would be One height, and all short people would be the Other), and these might make a difference. Also, your diet plays a big part in how the genes develop.
2,5 hectoliters (hl). Kilo means x1000, hecto means x100.
2,5 hectoliters (hl). Kilo means x1000, hecto means x100.
2,5 hectoliters (hl). Kilo means x1000, hecto means x100.
2,5 hectoliters (hl). Kilo means x1000, hecto means x100.
93 x 90 x 90 x 80
= 8370 x 90 x 80
= 753,300 x 80
= 60,264,000
The answer is 60,264,000.
Does h of x mean the same thing as Function of x also known as f of x?
Yes, h(x) is simply a function h --> x, like f(x) is a function f --> x.
The different letters are used to illustrate the fact that the two functions need not be the same.
How do you solve 4x2 minus 30x plus 45 by factoring?
The discriminant for the quadratic is b2-4ac = 302 - 4*4*45 = 900 - 720 = 180
Since 180 is not a perfect square, the roots of the equation are irrational and it is far from straightforward to solve such an equation by factoring.
