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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 solve 11 x -7 equals 5-x?
11x - 7 = 5 - x
Subtract 'x' from each side:
10x - 7 = 5
Add 7 to each side:
10x = 12
Divide each side by 10 :
x = 1.2
What is the square root of x squared plus 12x -2 equals x plus 4?
It's a second-degree equation in 'x' that screams "trouble". But we laugh in the
face of adversity and, with no thought for our personal safety, we plunge right in
and pursue solution[s].
sqrt( x2 + 12x - 2) = x + 4
Square each side . . . . . . . . . . x2 + 12x - 2 = x2 + 8x + 16
Subtract x2 from each side . . . 12x - 2 = 8x + 16
Add 2 to each side . . . . . . . . . 12x = 8x + 18
Subtract 8x from each side . . . 4x = 18
Divide each side by 4 . . . . . . . . x = 9/2
What is the value of the expression - 5x plus 12 when x equals 5?
-13
Plug 5 in and multiply it by -5 which equals -25
12 - 25 = -13
Is 3x plus 2y equals 7 and -4x-3y equals 10 dependent?
Yes and their solutions are x = 41 and y = -58
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.
