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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 does the period of a pendulum relate to how hard the pendulum is pushed?
It shouldn't relate at all.
The period of a pendulum depends only on its length,
not on how far it swings side-to-side.
Y to the power x times y to the power x?
yx * yx = y2x.
Using the law of exponents, we add the 2 exponents, getting you 2x rather than just 'x'.
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.
No.
It's a binomial, (whose value happens to be zero no matter what 'x' is).
Can you solve for a variable in an expression or equation?
you can only solve for one in an equation so it can equal something
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 factored form of 3x to the 2nd power plus 6x?
x(3x+6) or 3x(x+2). Id recomend the second one.
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).
