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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
What is the constant of xy plus 3y plus 27?
xy+3y+27
x and y are variables, so the only term that doesn't change with x or y is 27
y must be the same. so x being 6 and y being 3, 18+9 is 27.
How do you take the integral from negative infinity to 4 of 1 over1 plus x2?
Recall that the antiderivative of 1/(1+x2) is arctan(x).
arctan(negative infinity) = -pi/2.
arctan(4) = approximately 1.325818.
The answer then is arctan(4) - (pi/2) = approximately -0.244979
7-2 is equivalent to 5, although you would get peculiar looks if you asked for 7-2 apples in a shop. 5 is the answer to the question "what is 7-2?". An equation like x-3=4 means there is a value for x that makes this equality true. There are 2 ways of looking at it. You might say "x-3=4 is true (or not true)". Or you could say "given that x-3=4, I can say x must be 7". The first approach is the logician's, the second approach is a mathematician's. Sometimes both are combined, if there is some doubt about the truth of x-3=4. "Equals" commonly means "the same as".
When x is 4 what is the value of why?
Now, see, that's the thing. That's actually why they give you the equation before
they ask you this question. The equation tells you exactly how 'x' and 'why' are
connected. So when you have the equation, you can answer the question, and
when you don't, you can't.
Notice that I don't. So I can't. But if I did, then I bet I could.
What if the two points are x equals -2 y equals 2?
There is no particular significance in those results. The world will not end tomorrow and, if the rest of the method for this question is correct, you may even get full marks for it!
Which graph is the inequality x squared plus y squared over 9 is greater than 1?
It would be easier to answer the question if there were any graphs to be seen. But since there are none, there is no proper answer either.
How many roots does y equals x2 - 4x plus 6 have?
No real roots. Imaginary roots as this function does not intersect the X axis.
LOG base b of X =N
is calculated as b to the N power = X
Foe example, in base 10 ( common log)
LOG 100 = 2
because 10 the 2 power = 100
LOG 2 = 0.3010
because 10 the .3010 power = 2
In the early days of log tables, they were calculated by hand by people called "computers"; they often made mistakes and so Charles Babbage devised his Difference Engine to calculate the tables mechanically and so remove the possibilities of errors. Babbage later devised his Analytical Engine which was more powerful in terms of what it could calculate. Neither of these devices were fully made during his lifetime.
The Difference Engine was designed to tabulate polynomials (f(x) = anxn + an-1xn-1 + ... + a1x + a0) which could be used to approximate logarithms and trigonometric functions (by appropriate values for the constants an, an-1, ..., a1, a0).
A working Difference Engine has been built from Babbage's plans at the Science Museum in London, England.
That question does not make sense, if you mean what is 1 in base 7 it is just 1
What is the solution for 2x 3y-1 and 4x y24?
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "equals" etc.
What is x plus 7 times x plus 7 times 4 times x squared?
Error: There cant be two x's in a equation either one to be y and other x or some other variable.
Sure there can be two x's. There is no '=' in this question anyway, so it is not an equation. You cannot solve for x with the information given, but you can simplify it as follows.
Performing the operations in proper order (exponents, then multiplication (and division, if any), and lastly the addition/subtraction operations, gives you:
x +(7x) + (7)(4) (x2)
Which is 8x + [28 (x2)] or 8x + 28x2 .
Is y2-5y plus 2x-x2-120 equals 0 a circle or something else?
y2 - 5y + 2x - x2 - 120 is not a circle. It is a hyperbola rotated through 90 degrees.
What is the integral of lnx2 12x 32?
The integral of ln(x2) is 2x[ln(x) - 1] + C Do this using the method of integration by parts.
How do you graph the equation 2x is less than 3y plus 6?
First draw the equality line,
2x = 3y+6 -- (1)
or 3y = 2x-6 -- (2) to draw the line. Since the equation is about inequality, I draw the line in dashes, which means that the line marks the set boundary and no point on that line is included in the set. My dashed line crosses the axes at (3,0) and (0,-2).
Then take any point on either side of the line. I arbitrarily take (0,0), since zero makes my calculation faster. Let us work with equation (1), which is what the question asks.
Plug x=0 in the left-hand side (LHS) of equation (1); OK, zero. Plug y=0 on the right-hand side (RHS) of the equation; I get +6. I know 0 < -6, so LHS < RHS, which is exactly what the question wants. Hence, I know for sure that the region to the left of the dashed line is what I want. Shade that region (meaning drawing \\\\\ or /////) but don't go pass the drawn line. The shaded region will be the answer. BTW, 2x < 3y+6 cannot be an equation; it should be called an inequality. I suggest correcting the syntax of the question.
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