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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 factor this polynomial expression 4xp4 plus 39xp2 minus 10?
4x4 + 39x2 - 10 : Let y = x2 then the expression can be written as 4y2 + 39y - 10.
This can now be regarded as a quadratic equation. There are several ways of determining the factors of this expression. One method is as follows.
Where the expression is of the standard form ay2 + by + c then take the paired factors of 'a' and the paired factors of 'c', obtain the product for each matched pair and continue until the sum or difference of two matched pairs equals 'b'.
1 4 | 1 10
2 2 | 2 5
The paired factors of 4 and 10 are shown above. It can be seen that :
(4 x 10) - (1 x 1) = 39 is the only combination that produces the required result.
The expression can thus be factored as (4y - 1)(y + 10) or in its original form as :
(4x2 - 1)(x2 +10)
Is the square of two irrational numbers irrational?
you can't FIGURE OUT THE SQUARE OF THE IRRATIONAL NUMBER
apexvs answer 3.4 x 10-5
What is the unit conversion from 3 cubic meters to cubic centimeters?
27,000,000 centimeters are in 3 cubic meters. 3 cubic meters is equal to 300 cubic centimeters.
What is 2x plus 7over 3 equals x plus 2?
2X + 7/3 = X + 2
subtract X from both sides
X + 7/3 = 2
multiply through by 3
3X + 7 = 6
subtract 7 from each side
3X = -1
divide both sides by 3
X = -1/3
check in original equation
2(-1/3) + 7/3 = (-1/3) + 2
-2/3 + 7/3 = -1/3 + 6/3
5/3 = 5/3
checks
∫ f(x)/[f(x) + g(x)]n dx = ∫ 1/[f(x) + g(x)]n - 1 dx - ∫ g(x)/[f(x) + g(x)]n dx
What has the author W Y Porter written?
W. Y. Porter has written:
'Christ and the church' -- subject(s): Sermons, Canadian (English), Sermons canadiens-anglais
If the regression is a perfect fit.
How do you solve -x plus y equals 1 and -2 plus y equals -2 by substitution?
-x+y = 1
-2+y = -2
y = 1+x
y = -2+2 => y = 0
By sustituting the values of x and y can be found
x = -1 and y = 0
Remember that a minus from a minus is equal to a plus. So - -1+0 = 1
What is the answer 3x plus 37?
Without any knowledge of x, all that can be said is that it is 3x + 37.
