0
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
The logarithm base 4 of 16 is asking the question "4 raised to what power equals 16?" In this case, 4 squared is equal to 16, so the answer is 2. Therefore, log base 4 of 16 is equal to 2.
What are some equations that equal 29?
1 x 29
14 + 15
50 - 21
58/2
No equation equals 29. But there are an infinite number
of equations of which 29 is a solution.
A few of them are:
x + 10 = 39
x - 15 = 14
2x - 8 = 50
(x + 5) (x - 5) = 216
log(x) = 1.4624
There are many ways to figure 2.5x2.5. If the decimals confuse you, remove the decimals and you may insert them at the end. 25x25=625.
Remember*: When multiplying vertically, don't insert the decimal under the decimals in the factors:
2.5 Instead, move the decimal two places to the left since there
x2.5 are two decimals (one in each factor)
____ so that the answer is 6.25.
62.5 Not correct.
What is 4x squared times 4x squared?
4x^4 or 4x*4x*4x*4x
A formula would be (x^a)(x^b)= x^a+b
x^a) / (x^b)= x^a-b
How many solutions does an polynomial equation have?
Well, honey, a polynomial equation can have multiple solutions, depending on the degree of the polynomial. A polynomial of degree "n" can have at most "n" solutions, including complex solutions. So buckle up and solve those equations, darlin'!
How do you solve for x if z equals y divided by x?
You should write the question out as z= (y/x). To solve this, you would multiple x to the other side to get y alone. Then you would multiply z to the other side.
z= (y/x) Given
xz= y
x= y/z
Well, isn't that just a happy little math problem we have here! To find n, we can simply divide 450 by 15. When we do that, we find that n equals 30. Just like painting a beautiful landscape, sometimes all we need is a little bit of math to reveal the hidden beauty in numbers.
Well, isn't that a lovely little equation we have here! To simplify 2x squared minus 2x, we can factor out the common factor, which is 2x. So, the expression simplifies to 2x(x - 1). Just like painting a happy little tree, it's all about finding the beauty in the simplicity of things.
Several equations do. You need to be more specific.
It could be anything including 20 + 8, 30 - 2, 4 x 7, etc.
What are the application of irrational numbers?
Real numbers which cannot be written in (a/b) form are called as irrational numbers like √3, √5,√2 etc. Now, we discuss applications of irrational numbers:
1. Use of pi(π) : pi is an irrational number which is use in many purpose in math like:
Area of circle = π * r2 where pi (π) = 3.14 and r is a radius.
Circumference of circle = π * d where d is a diameter of circle,
2. Use of exponential (e): e is an irrational number which is used in many parts of math-.
3. Use of cube root: cube root is basically used to find out area and perimeter of cube and cuboids because both have three dimension structures.
4. Use of irrational number to find out domain: irrational numbers are use to find out domain of particular function. For instance, domain of a function lies between 2 and 3 then we can represent them as √5. Similarly when domain lie between 1 and 2 then we represent them as √2 and between 3 and 4, we can represent them as √11 etc.
So, irrational numbers are used in finding approx value of any real measurement because it is difficult to find out exact value of real measurement. Irrational numbers are calculating non terminating point of function.
For more information visit related links.
What is the answer to x plus y equals 4 and y equals 2x plus 1?
To find the values of x and y that satisfy the system of equations x + y = 4 and y = 2x + 1, you can substitute the expression for y from the second equation into the first equation. This gives you x + (2x + 1) = 4. Simplifying, you get 3x + 1 = 4, which leads to 3x = 3 and x = 1. Substituting x = 1 back into the second equation, you find y = 2(1) + 1, so y = 3. Therefore, the solution to the system of equations is x = 1 and y = 3.
Oh, dude, branches of mathematics? Like, there's algebra, where you solve for X and make numbers play nice. Then there's geometry, where you're all about shapes and angles, like a math Picasso. And don't forget calculus, where you're basically doing math gymnastics with curves and slopes. Math, man, it's like a whole forest of numbers and stuff.
Can you do 3x multiplied by 1?
Absolutely, friend! 3 times 1 is simply 3. Just like painting a happy little tree, sometimes the simplest things can bring the most joy. Keep up the good work!
What is the answer to 3x plus 3y?
The expression 3x + 3y is a linear combination of two variables, x and y, with coefficients 3. The answer to this expression depends on the specific values of x and y. If x = 2 and y = 4, then the answer would be 3(2) + 3(4) = 6 + 12 = 18. In general, the answer to 3x + 3y is 3 times the sum of x and y.
What is 3 plus 3x3-3 plus 3 equals?
To solve this expression, we need to follow the order of operations (PEMDAS/BODMAS). First, we perform multiplication and division before addition and subtraction. So, we start by multiplying 3 by 3, which equals 9. Then, we add and subtract in order from left to right: 3 + 9 - 3 + 3 = 12. Therefore, the answer is 12.
What is y to the power of 4 multiplied by y to the power of 5?
When you multiply two terms with the same base, you add their exponents. In this case, y to the power of 4 multiplied by y to the power of 5 is equal to y to the power of (4+5), which simplifies to y to the power of 9.
What does x equal if x square equals -3?
If you want to work with real numbers, there is no answer. the square of any number, whether positive or negative, is a positive number, so x2 cannot be -3.
If you accept complex numbers as a solution, the square root of minus 1 is called i (when squared, both i and -i give -1); the square root of -3 is equal to the square root of 3 times i, the square root of -4 is 2i, etc.
Complex numbers are frequently used in some areas of science (electricity, quantum mechanics, and others); in other areas, it just doesn't make sense to use them. Similarly, for some problems fractional solutions, or negative solutions, may be acceptable, for others, not.
How do you solve 5 to the power of x equals 15?
Using logarithms. In economics, we most commonly use the the base e, which is known as ln. For example
5^x = 15, apply ln[.] to both sides
ln[5^x] = ln[15]
and since logarithms have the property of turning exponents into coefficients
xln5 = ln15
x = ln15/ln5
x = 1.6826
How do you solve 3log5 125 - log2 8 equals x?
Your calculator won't usually have a function to calculate logs in base 5 or base 8 directly, but this can easily be solved. For example:
log5125 = log 125 / log 5 (taking both logs in base 10, or both logs in base e)
In this particular case, you can also solve the equation mentally - you don't even need a calculator! Just use the definition of a log: "To what power must I raise 5 to get 125?" The answer to this is, by definition, log5125. Similarly with log28.
In the expression 8 - x, "8" is the minuend and "x" is the subtrahend. When you subtract x from 8, you are finding the difference between the two values. The result will vary depending on the value of x.
