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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 convert kmh to kmh squared?
You don't. It's a completely different unit, they are derived from m/s(unit of velocity) and m/s2(unit of acceleration).
What is the value of the function fx equals 3x plus 2 and has a value between 5 and 17?
The function f(x) = 3x + 2 can take any real value, so the question does not seem to make any sense.
How do you solve these equations using the elimination method?
I dont see any equations.
But to solve by the elimination method you have to make one variable eliminated. Ill show an example. Im not an expert so the varaible will probably not come out as whole numbers.
4x+6y=18
7x+y=24
To eliminated one o the variables multiply by the proper number to the whole equation. Multiply the bottom euqations by -6
4x+6y=18
-42x-6y=-144
Now add the equations top down...
-38x = -126
x = -126/-38
x = 3.315
Now solve for y by plugging x into one of the euqations.
4(3.315)+6y=18
y=0.2262
As I said before im not an expert and these answers are ugly. But this is how you do it. Make sure you take your time and dont make dumb mistakes like simple adding or subtracting mistakes.
X equals -4y 3x plus 2y equals 20?
x = -4y so 3x = -12y
Substituting in the second equation, -12y + 2y = 20 or -10y = 20 ie y = -2
And then x = -4y implies that x = 8
Solution: x = 8, y = -2
Solve 7y plus 4 equals 5y - 6?
7y + 4 = 5y - 6
Subtract 4 from each side:
7y = 5y - 10
Subtract 5y from each side:
2y = -10
Divide each side by 2:
y = -5
How do you factor the expression two m squared minus eight?
2m^2 - 8
-First you should factor out a two.
--> 2(m^2-4)
-You now have something squared minus something else squared; You have m squared minus 2 squared. Whenever you have something squared minus something squared as you do in this case, there is a simple rule to remember: You can reduce that expression into the quantity of the square root of the first number or variable plus the square root of the second number or variable Times the quantity of the square root of the first number or variable minus the second number or variable squared.
--> In the case of your expression:
----> 2(m+2)(m-2)<-----
What equals x in -3x-4 equals 2?
-3x -4=2
add four to both sides
-3x=6
divide by (-)3 on both sides
x= -2
to check:
-2(-3) -4=2
6-4=2
It checks.
Substitute 7 for x and evaluate the expression for this problem 9x minus 2x?
It's 9 x 7 minus 2 x 7. So its 63 - 14.
What property is 5x equals 5x?
The equation is true because of the reflexive property of equality which states in words that every quantity is equal to inself.
How do you solve 6x plus 2y equals 14?
It has two variables (X and Y), so can not have a single salvation. Thus, salvation will be a set of (X;Y) pairs (that forms line in a Cartesian coordinate system:
6x+2y=14
2y=14-6x
y=(14-6x)/2
y=7-3x
The general form of a line is y=kx+b, where k and b are constants. In our case we a have a line described by y=7-3x
What is the difference between x tends to 0 and limit of x tends to 0?
The difference can probably be stated more explicitly in mathematical terms.
"x tends to 0" typically implies that x is an independent variable of an unstated function. You are evaluating the function as this variable tends to zero; or, limx→0 f(x).
"limit of x tends to 0" instead implies that "x" is the function, and the value of it as you approach some unstated value tends to 0; or, lima→b x(a) = 0 where "b" is the value the function is approaching, whether real or ±infinity.
What is it to be a person of integrity?
A person concerned with principles of right and wrong or conforming to high standards of behaviour.
What answer is that 3x-11 equals x plus 5?
3x - 11 = x + 5
subtract x from both sides:
3x - x - 11 = x - x +5
2x - 11 = 5
add 11 to both sides:
2x - 11 + 11 = 5+11
2x = 16
divide both sides by 2 to solve for x:
2x/2 = 16/2
x = 8
I presume that sin-1x is being used to represent the inverse sin function (I prefer arcsin x to avoid possible confusion).
Make use of the trignometirc relationships:
cos2θ + sin2θ = 1
⇒ cosθ = √(1 - sin2θ)
cotθ = cosθ/sinθ
= √(1 - sin2θ)/sinθ
sin(arcsin x) = x
Then:
cot(arcsin(x)) = √(1 - sin2(arcsin(x))/sin(arcsin(x))
= √(1 - x2)/x
⇒ cot(arcsin(2/3)) = √(1 - (2/3)2)/(2/3)
= √(9/32 - 4/32) ÷ 2/3
= √(9 - 4) x 1/3 x 3/2
= 1/2 x √5
Can you show me how to graph y equals -x plus 4?
To graph a linear equation, you must determine what a and b are for the equation y=ax+b. For this example, a=-1 and b=4. A is the slope and b is the y-intercept. The slope is the height of the line over the length of it. In this equation, the line goes down one unit for each unit right. The y-intercept refers to where the line crosses the y axis. For this example, it crosses the y axis at y=4. The line will cross the y axis at y=4 and then goes down and to the right and up and to the left. It will cross the x axis at x=4.
How do you determine if a fuction is linear or non linear?
I your highest power of your variables is 1 then it is linear.
y=x+5 is linear
