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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
What is another way of writing X squared divided 2?
Another way of writing X squared divided by 2 is (X^2)/2. This notation represents the expression X squared (X^2) being divided by 2. The use of parentheses helps clarify the order of operations, ensuring that the square of X is divided by 2.
What is the square root of x to the power of 5?
Oh, dude, the square root of x to the power of 5 is x to the power of 5 divided by 2. I mean, like, you're just splitting that power in half, you know? So, if x is raised to the power of 5, taking the square root is like dividing that power by 2. Easy peasy, lemon squeezy.
What is the inverse of y equals x?
The inverse of the function y = x is denoted as y = x. The inverse function essentially swaps the roles of x and y, so the inverse of y = x is x = y. In other words, the inverse function of y = x is the function x = y.
What is the solution to the equation -n equals 7?
- n = 7
multiply through by, - 1
- 1(- n = 7)
a negative times a negative is positive ( and, of course, a negative time a positive is negative )
n = - 7
======check
- (- 7) = 7
( negative times negative = positive )
7 = 7
----------checks
Let's take a moment to appreciate the beauty of this mathematical expression. To factor m^2 + 9m + 20, we need to find two numbers that multiply to 20 and add up to 9. Those numbers are 4 and 5. So, the factored form is (m + 4)(m + 5). Just like painting a happy little tree, sometimes all it takes is a little patience and observation to reveal the true beauty within.
What does lmp mean when describing a gas tank capacity?
LMP stands for "liters per minute," but when describing a gas tank capacity, it's more likely a typo for "LMPG," which means "miles per gallon." So, if someone says a car has an LMP of 25, they probably mean it gets 25 miles per gallon. But hey, mistakes happen, just like that time I accidentally wore two different shoes to the Emmys.
What is a function whose graph is not a straight line?
y = x^(2)
y^(2) = 4ax Parabola on its side_
x^(2) + y^(2) + 2fx + 2gx +c = 0 ( A Circle)
x^(2)/a + y(2) / b = 1 ( An Ellipse)
x^(3) = A Cubic Graph with an 'S' curve.
What is the derivative of x divided by 3?
The derivative of x divided by 3 is 1/3. This can be found using the power rule of differentiation, where the derivative of x^n is nx^(n-1). In this case, x can be written as x^1, so the derivative is 1(1/3)*x^(1-1) = 1/3.
Is a piecewise function one to one?
A piecewise function can be one-to-one, but it is not guaranteed to be. A function is considered one-to-one if each element in the domain maps to a unique element in the range. In the case of a piecewise function, it depends on the specific segments and how they are defined. If each segment of the piecewise function passes the horizontal line test, then the function is one-to-one.
Something divide by something 65?
There are many answers for this a common one would be 130 and 2
130/2=65
to figure this out take 65 and multiply it by 2, 3, 4, exc.
then take your answer and divide it by the number you multiplied 65 with
example 65*3=195 195/3=65
you can do this with any number
What is pi to the third power?
Pi to the third power is pi cubed, which is approximately 31.0062766803. So, if you were looking to impress someone with your math skills, go ahead and drop that bombshell on them. Just don't expect any applause, because let's face it, not everyone gets excited about the magic of pi.
What is an English derivative for laudat?
The English derivative for "laudat" is "laud." It's a fancy way of saying "praise" or "commend." So next time you want to give someone a pat on the back, just say "I laud you" and watch them be impressed by your vocabulary.
Ah, what a delightful question! When you have x4 plus x4, you can simply add the two terms together. It's like having 4 happy little birds on one branch and then adding 4 more joyful birds to join them, giving you a total of 8 lovely birds sitting together.
How will you write 5 x 5 x 5 x 5 x 5 as an exponential expression?
55
5 x 5 x 5 x 5 x 5 is five 5's multiplied by each other; when writing an exponent, use the form Bx, where 'B' is the base(the number being multiplied by itself), and 'x' is the exponent(how many times the base is being multiplied). Here, it would thus be written as 55.
What are the disadvantages of national integration?
Well, friend, sometimes in the process of national integration, some people may feel like their own unique cultures or identities are being overlooked or overshadowed. It's important to remember that diversity is a beautiful thing, and finding a balance between unity and celebrating our differences is key. With understanding and open communication, we can create a harmonious blend of unity and diversity in our nation.
What solution is for ax2 plus bx plus c equals 0?
The answer to this is the Quadratic Formula, which is:
(-b +/- (b2 - 4ac)1/2 )/2a -- as you might have guessed, +/- means there are two solutions for this equation.
If y equals 6x and x equals 3.5 find y?
y = 6 x 3.5;
If you can't do that in your head, split it up: 6 x 3 = 18, 6 x .5 = 3, 18 + 3 = 21
1 billion is equal to exactly 1 billion, not more nor less.
Any number being squared should be it be multiplying 100. So 10 × 100 = 1000.
- 2x - 14 = 26
Switch all signs: 2x + 14 = - 26
Subtract 14 from both sides: 2x = -26 - 14 = - 40
Divide both sides by 2: x = - 40/2 = - 20
Discriminant = (-10)2 - 4*5*(-2) = 100 + 40 > 0
So the quadratic has two real roots ie it crosses the x-axis twice.
