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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 solution to -x plus 3y equals 1 and 4x plus 5y equals 13?
-x+3y=1
4x+5y=13
first I'll solve for y
-x+3y=1
3y=x+1
y=x/3+1/3-->plug this in for y into the other equation
4x+5(x/3+1/3)=13
4x+5x/3+5/3=13
17x/3=34/3
17x=34
x=2--->plug this in for x in either equation and solve for y
-x+3y=1
-2+3y=1
3y=3
y=1, x=2
If we know that two of the numbers are 6 and 9, and that these two might be one of the multiplied combinations mentioned, then the maximum possible value is 6 x 9 = 54.
one example is a yoyo it goes side to side and back and forth there is an example of a pendulum
What will be the X in terms of a and b if Cos aX equals 1 plus bX and a and b are constants?
a = 0, b = 0.
At the basic level, the modulus of a number or expression is simply the value of the number or of the expression. For a positive number the modulus is the number, for 0 it is 0, and for a negative number, x, it is -x (which is positive).
How could you use the fact that 8x's7 equals 56 to find the product of 8x's14?
8 * 7 = 56
8 * 14 can also be written as 8 * 7 * 2. And since 8 * 7 is already known, one has only to multiply that answer (56), by 2 to get 112.
X-3y equals 7 -3x plus 16y equals 28?
-3x+16y = 28
3(x-3y = 7)
Multiply the bottom equation by 3 then add both equations together in order to eliminate x:
7y = 49
y = 7
Substitute the value of y into the original to find the value of x:
So: x = 28 and y = 7
What is inverse of y equals 2radical x plus 3?
To find the inverse you switch the x and the y and then solve for y.
x=2 radical( y + 3)
radical(y + 3) = x/2
y+3= (x/2)²
y = (x/2)² -3
So the answer is y = (x/2)² -3
4x+3x-1x = 12 Collect like terms: 6x = 12 Divide both sides of the equation by 6 to find the value of x: x = 2
There are 10 milimetres in 1 centimetre.
Divide your measurements by 10 and see how they match up to 0.5 x 0.5 x 0.5 cm
Csc squared divided by cot equals csc x sec. can someone make them equal?
cot(x)=1/tan(x)=1/(sin(x)/cos(x))=cos(x)/sin(x)
csc(x)=1/sin(x)
sec(x)=1/cos(x)
Therefore,
(csc(x))2/cot(x)=(1/(sin(x))2)/cot(x)=(1/(sin(x))2)/(cos(x)/sin(x))=(1/(sin(x))2)(sin(x)/cos(x))=(1/sin(x))*(1/cos(x))=csc(x)*sec(x)
X multiplied by x equals 185 what does x equal?
x * x = 185. So x = ±sqrt(185) or ±13.60147051 (8 decimal places)
Integral of cos2x log cosx-sinx coax plus since?
it is not possible to get the Integral of cos2x log cosx-sinx coax plus since there are no symbols given in the equation.
How do you solve x2 6x equals 0?
factorise it into brackets. The equation is actually x2-6x+0. So into brackets it will be (x-6)(x+0) = 0. From here, to solve the equation, make either of the brackets = 0 by substituting a value for x. In this instance x = 0 or 6.
How do you solve 8x plus 20y equals -80?
It is a straight line equation that needs to be rearranged into slope-intercept form as follows:-
8x+20y = -80
20y = -8x-80
y = -0.4x-4
How many many solutions does the system x equals 8 have?
X = 8
That equation has exactly one solution.
The solution is:
x = 8
What is the slope of the line 2x minus 5y equals 10?
Put in this form. Y = mX + c
2X - 5Y = 10
- 5Y = - 2X + 10
Y = (2/5)X - 2
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