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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
Who invented logarithms that enabled humans to do long mathematical calculations quickly?
John Napier of Edinburgh
What are the points for y equals -.75x plus 9?
As long as the y-value of the point is 9 more than -3/4 of the x-value, it's
included. There are an infinite number of them, and we're busy right now.
What is the polynomial of this factor x2 minus 9x plus 18 in descending order?
x2 - 9x + 18 = (x - 3)(x - 6)
What is the slope for -3 comma 1 and 1 comma -2?
A: (-3,1) B: (1,-2)
slope= b2-a2/b1-a1
Therefore, (-2-1)/(1-(-3)) equals -3/4
How would you solve this 2.14x - 12.18 equals -5.76?
2.14x - 12.18 = -5.76
add 12.18 to both sides:
2.14x = 6.42
divide both sides by 2.14
x= 3
Can you explain how to solve this equation...15 equals x divided by 6?
I don't know how much about the number systems do you know. I will assume you are only working with whole numbers.
By division "/", we mean an operation such that a = b/c means b = a x c where "x" is the standard multiplication of whole numbers.
so in this case, your question states 15 = x/6 means x = 15 x 6 = 90 and you are done.
How do you estimate the graph of the function fx2?
It crosses the y axis at zero and it opens up instead of down.
What is the answer to 2 over x plus 1 over 3 equals 4 over x?
If 2/x + 1/3 = 4/x,
multiply each term by 3x, then 6 + x = 12.
Subtracting 6 from each side, x = 6.
Verifying left side by substituting 6 for x, 2/6 + 1/3 = 1/3 + 1/3 = 2/3;
verifying right side by substituting 6 for x, 4/6 = 2/3.
What is the value of 64 - 6 x 3 plus 52?
98
Always Multiply and divide before adding and subtracting, Unless grouped in parentheses " ( ) ". Always perform calculation within parentheses first.
The problem reads 64-6x3+52. This would be the same as 64-(6x3)+52 (remember to multiply and divide first). Which equals 64-18+52.
64-18=46 which leaves us 46+52=98.
What are the techniques of a good grade?
Here are some tips:
Work hard, try to understand the subject - seek help when needed. In an exam, read the questions carefully, give a complete answer showing your working, check your work.
Does being good in mathematics help you in physics chemistry and engineering or is that a myth?
It is no guarantee of success in those disciplines, but it is helpful.
Building a fire is an art. Lighting a log normally means you have to start a fire using tinder, small pieces of wood and work your way up to the larger size. One way to 'cheat' is to use some fire starters.
-4x + 3y + 3z = -209
-6x - y - 8z = -209
-9x + 4y - 7z = -418
Make a simple equation from elimination.
-4x + 3y + 3z = -6x- y - 8z
2x + 4y + 11z = 0
-4x + 3y + 3z = -209
4x + 8y + 22z = 0
11y + 25z = -209
Make another simple equation.
-36x - 6y - 48z = -1254
-36x + 16y - 28z = -1672
-22y - 20z = 418
Solve for "z" with the 2 simple equations and then subsitute in simple equations for the solution of "y".
22y + 50z = -418
-22y - 20z = 418
30z = 0
z = 0
11y + 25(0) = -209
y = -19
Subsitute "y" and "z" and solve for "x".
-6x + 19 = -209
-6x = -228
x = 38
(38, -19, 0).
How do you solve this equation -3x plus y equals 1 5x plus 2y equals 4?
If you mean:
-3x + y = 1
5x + 2y = 4
You must replace one letter, for example y, so it gives you an equation only using x.
If you bring everything to one side on the bottom equatin, it would read:
y = (4 - 5x)/2
Now use this equation to replace the y on the first equation:
-3x + (4-5x)/2 = 1 and solve for x
Find a common denominator, which is 2...
(-6x)/2 + (4-5x)/2 = 1
Combine...
(-6x + 4 - 5x) / 2 =1 which is:
(-11x + 4) / 2 = 1 Bring the 2 to the other side...
-11x + 4 = 2 Bring the 4 to the other side...
-11x = -2 Bring the -11 to the other side...
x = -2 / -11 or 2/11
Now plug in this number for x to solve for y:
5x + 2y = 4
5(2/11) + 2y = 4
10/11 + 2y = 4
2y = 4 - (10/11) common denominator is 11 so,
2y = 44/11 - 10/11
2y = 34/11 divide by 2
y = 34/11 * 1/2
y = 34/22 simplify
y = 17/11
x = 2/11 y = 17/11
If you replace both letters in the top equations with these answers, both sides should equal each other.
What is the answer to y equals 10-x?
well if you arent doing graphs and you don't know the values for x or y, then you are done
