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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 write a decimal in a fraction or mixed number in simplest form?
There are three different situations, corresponding to the three types of decimal numbers: terminating, repeating and those which are neither terminating nor repeating.
Terminating: If the decimal number has d digits after the decimal point, then rename it as a fraction whose numerator is the decimal number without the decimal point, and the denominator is 10^d or 1 followed by d zeros. For example, for 34.56 d = 2 so the denominator is 100. and the fraction is 3456/100.
Repeating: Until you become expert at this I suggest you do this in two stages (using c and d separately). Suppose there are c digits after the decimal place where the digits are non-repeating, and then you get a string of d digits which repeat. Then the numerator is the old original string including one lot of the repeated digits minus the original string with none of the repeating digits. The denominator is 10^c*(10^d - 1), which is a string of d 9s followed by c 0s. For example 123.26159159… There are 2 digits, "26", after the decimal point before the repeats kick in so c = 2, and the repeating string "159" is 3 digits long so d = 3. So the numerator is 12326159 – 123216 = 12313833 and the denominator is 99900 Therefore the fraction is 12313833/99900.
Non-terminating and non-repeating: There is no way to get a proper fraction since, by definition, this is an irrational number. The best that you can do is to round it to a suitable number of digits and then treat that answer as a terminating decimal.
In all cases, you should check to see if the fraction can be simplified.
What is the formula of exponegtial decay?
The general form is y(t) = a + y(0)*exp(-bt)where y(t) is value of the variable at time t.
the starting value is a + y(0) and the asymptotic value (as t -> infinity) is a.
Make sure that they are connected correctly to the computer and make sure that they are plugged in to the right compartment. Check and see if they are plugged into the outlet(that you plug everything in like lamps and phones and vaccums and what not)... And you should probably turn them on :)
What is the gadient of y equals 9?
0. A line with constant y-value is horizontal, so its gradient is 0, meaning it neither goes up nor down.
Integrate1 plus x divided by x2 plus 1?
(1+x)/(x^2+1)
Let x^2+1 =u
2x dx = du
x dx = du/2
(1+x) / (x^2+1) = 1/(x^2+1) + x / (x^2+1)
Integral of x dx / (x^2+1) = (1/2) integral du / u = 1/2 ln|u| --(1)
Integral of 1 / (x^2+1) = arctan(x) --(2)
Adding (1) and (2)
Integral (1+x)/(x^2+1) = (1/2) ln(x^2+1) + arctan(x) + C
Adding a negative number and positive number lowers the positive number. So, since you're taking 2 away from 5, the 5 goes down to 3. Therefore, the answer is 3.
Sally saves ten cents every day for one year how much money does she save?
$36.50 if she just keeps it in a jar or a piggy bank. More if she invests it.
Not calculus. In the case of having a plus sign in front of a minus sign, the result is to subtract the number. The same goes for if you have a minus sign in front of a plus sign. Remember that if the signs are different, the result will be a subtraction, if the signs are the same, it will be an addition (ie a double negative (- -), or a double positive(+ +)). So this question, 26 + -3 -11 is the same as 26 -3 -11, so will equal 12.
How do you simplify x to the 2nd power subtract 5x from 24?
It is not possible to answer the question.
There is no operation defined between x^2 and "subtract 5x from 24".
What is x when 10x plus 9equals 8x plus 21?
X= 6
10x + 9 = 8x + 21. subtract 8x and 9 to both sides
2x = 12. divide by 2 to both sides
x = 6
Is y equals 1000 divided by x a direct or indirect proportion?
Indirect. When x increases, y decreases. ( and conversely).
How do you solve competitive maths questions more effectively?
DO ALGEBRA!
If you don't know algebra, ask your mom and dad or attend a class on algebra or LOOK IT UP ON THE COMPUTER!
Which coordinate do the graphs of y equals 2x plus 8 and x plus y equals --1 intersect?
y=2x+8
x+y=-1
From the second you get x = -1-y, put in the first y=2*(-1-y)+8 then y = -2 y +6
3y = 6 => y = 2 and x = -3
What is answer to 8x-6 when x is equal to -1?
What this is asking for is for you to plug in -1 into every x, so
8(-1)-6=? ;You substitute -1 for x
-8-6= ;Multiply 8 by -1
-14 ;Add the negatives
What is equal to the square root of 8xy2 x the square root of 20y?
sqrt(8xy2) * sqrt(20y) = 2y*sqrt(2x)*sqrt(20y) = 4y*sqrt(x)*sqrt(10y)
= 4y*sqrt(10xy)
