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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 point of intrescetion of x-y equals 7and 3x plus y equals 9 using substitution?
x-y = 7 so x = 7+y
3x+y = 9 so 3(7+y)+y = 9
21+3y+y = 9
4y = 9-21
4y = -12
y = -3
Substitute the value of y into the original equations to find the value of x:
Therefore: x= 4 and y = -3
x = √(2-x)
x2 = 2-x
x2 + x = 2
x2 + x - 2 = 0
(x+2)(x-1) = 0
x = 1 or -2
X plus y equals 5 and 2x-y equals 4?
If you are trying to find x and y, the answers are x=3 and y=2.
You can use elimination to find the answer. First you cross out the y and -y in the equations and then add the x's and numbers, which will give you 3x=9. You can then solve for x and you will get x=3. To find y, you put 3 into either of the equations for x and solve for y.
How many tons 12540 cubic meter is equal to?
This question cannot be answered sensibly. A cubic metre is a measure of volume, with dimensions [L3]. A tonne is a measure of mass, with dimensions [M]. Basic dimensional analysis teaches that in most cases you cannot convert between measures with different dimensions without additional information. Just a little thought should make it obvious that, for example, a cubic metre of air will have far less mass that a cubic metre of lead.
How long does it take to count one million cats?
If you count one cat every second, it would take one million seconds, which works out at just over eleven and a half days, provided you don't loose count and need to start again, oh, and no time to sleep, make a cup of tea or take a comfort break.
What is the deifition for irrational number?
An irrational number is a number that is not rational. A rational number is a number that can be expressed as the quotient of two integers, the divisor not being zero.
Y equals ax2 - 2x - 3 The line of symmetry is x equals 1 Does an equal 1 or -1 or 2?
For the equation ax2-2x-3, the quadratic coefficients are:
a=a,
b=-2
c=-3.
The equation of the line of symmetry is:
x= -b/2a
As we know that the line of symmetry is x=1,
we get:
1 = 2/2a, so
2a = 2
and a = 1.
We get a bowl-shaped parabola, whose lowest point is (1,-4).
You have to use the periodic table of elements.
P E M D A S
P - ( ) _Parenthesis
E - y2 _Exponents
M - X _Multiplication
D - / _Division
A - + _Addition
S - [-] _Subtraction
•6+2x4-2•
Multiplication comes fist so... 2 x 4 = 8
Addition comes next so... 6 + 8 = 14
Subtraction is last so... 14 - s = 12
Does a constant always have an inverse?
No, zero does not have an inverse.
The inverse of x is 1/x. x<>0
What is the integral of 1 divided by the cosine squared of x with respect to x?
∫ 1/cos2(x) dx = tan(x) + C
C is the constant of integration.
What is the integral of the hyperbolic tangent of x with respect to x?
∫ tahh(x) dx = ln(cosh(x)) + C
C is the constant of integration.
What is the integral of two functions of x added together with respect to x?
∫ f(x) +g(x) dx = ∫ f(x) dx + ∫ g(x) dx.
How do you find radians using the conversion factor?
One way to remember it is: a full circle is 2pi radians, or 360°, so 2pi radians = 360°, and then you multiply degrees by (2pi/360 radians per degree) = pi/180 radians per degree.
What is the x-intercept of y equals 2x plus 5?
The x intercept is where y = 0
y = 2x +5 = 0
2x + 5 = 0
2x = -5
x = -5/2 = -2.5
Who plays the boy who can stop peoples powers in x men 3?
Jimmy, or 'Leech' is played by Cameron Bright.
How do I factor 45b2 plus 150bd plus 125d2?
45bb+150bd+125dd
Steps:
1. Factor out common terms
45bb+150bd+125dd
5(9bb+30bd+25dd)
2. Multiply coefficients of first and third terms:
9*25=225
3. Factor product of first and third terms, choose factors whose sum is the second term(30):
225=3*3*5*5
=3*75
=5*45
=15*15
4. Rewrite polynomial:
5(9bb+30bd+25dd)
5(9bb+15bd+15bd+25dd)
5. Factor sets of terms (first and second, third and fourth):
5(9bb+15bd+15bd+25dd)
5(3b(3b+5d)+5d(3b+5d)
6. Combine like terms:
5(3b+5d)(3b+5d)
7. Combine like terms:
5(3b+5d)**2
