0
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
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".
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.
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.
======================================
What does FOR NO VALUE OF X mean?
It means that a certain condition is not satisfied, or fulfilled, no matter what value you assign to the variable "x".
What is the human calculator's favorite number?
The Human calculators favourite number is, 9. All numbers above 9 will always equal 9.
Examples:
11
1+1=2
11-2=9
36
3+6=9
36-9=27
2+7=9
and one more,
427
4+2+7=13
427-13=414
4+1+4=9
By following the above examples, ALL numbers above 9 will always equal 9.
How do you solve the problem four x minus nine equals seven x plus twelve?
4x + 9 = 7x + 12 Take away 9 from each side of the equation: 4x = 7x + 3 Then take away the 7x from both sides: -3x = 3 Then divide both sides by three to get that x on its own -x = 3
