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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

4x-3 equals 2x plus 5?

4x - 3 = 2x + 5
4x - 2x = 5 + 3
2x = 8
x = 8/2
x = 4


To check:

4(4) - 3 = 13
2(4) + 5 = 13

How do you solve 2a x 4b equals 192?

To solve for two unknown variables (a and b) you need 2 independent equations. You have only one.

Is -12x plus 12x a monomial?

No.

It's a binomial, (whose value happens to be zero no matter what 'x' is).

What is the answer to 15 4 x -5 9?

That will depend on the plus or minus vallues of 15, 4, x and 9 which have not been given

How would you solve sin3x equals sinx?

To start, try breaking down

sin3x using a double angle formula.

Message me if you need more help!

What is the derivative of half to the power of x?

(1/2)x = 2-x = exp (ln 2-x) = exp( -x ln 2). Since d/dx exp(x) = exp(x), we can use the chain rule to find that:

d/dx (1/2)x = -(ln 2) exp(-x ln 2).

What is limit as x approaches 0 of cos squared x by x?

The limit of cos2(x)/x as x approaches 0 does not exist.

As x approaches 0 from the left, the limit is negative infinity.

As x approaches 0 from the right, the limit is positive infinity.

These two values would have to be equal for a limit to exist.

What type of linear system is 7x plus 2y equals 16 -21x-6y equals 24?

Do you mean 7x+2y = 16 and 21x-6y = 24?

If so then it is simultaneous equation with the solution being: x = 12/7 and y = 2

What is the quadratic for x2-13x plus 40?

Assume this quadratic equation equals zero. Then :-

x2 - 13x + 40 = 0, this can be factored (x - 8)(x - 5) = 0

This holds true when either x - 8 = 0 or x - 5 = 0

When x - 8 = 0 then x = 8 : When x - 5 = 0 then x = 5

Use completing the squares solve 2x2-3x-1 equals 0?

y = 2x2 - 3x - 1 = 0 After graphing this equation on my calculator, I found that there are in fact two answers, but neither of them are integers. This means that it is impossible to factor this quadratic equation in the form (x + a)(x + b) with a and b being integers.