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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 X2-4x plus 9 when x equals -8?
If [ x = -8 ], then
x2 - 4x + 9
= (-8)2 - 4(-8) + 9
= 64 + 32 + 9
= 105
How do you solve problems like -2 plus 5x equals 13?
This is how I learned:
-2 + 5x = 13
5x + -2 + 2 = 13 + 2
5x = 15
-- --
5 5
x = 3
Then check:
-2 + 5 x 3 = ?
-2 + 15 = ?
13 =13
This is because when you add and subtract integers, adding negative is subtracting.
Subtracting negatives is like adding, but the result is negative. So, when you take
-2 + 2 it equals 0.
The mean value theorem can be applied to all continuous functions (or expressions), and so it is applicable here.
There is no equation in te question and furthermore, no c (other than the first letter of cos in the expression so there are no values for c to satisfy anything!
What is the square root of 121-8 to the second power divided by 32 x 4?
(sqrt(121)-8)**2/(32*4)
(11-8)**2/(128)=9/128
(-11-8)**2/(128)=361/128
sqrt121-8**2/(32*4)
11-64/128=10.5
-11-64/128=-11.5
sqrt(121-8**2)/(32*4)
sqrt(57)/128
-sqrt(57)/128
(sqrt(121)-8)**2/32*4
(11-8)**2/32*4=9/8
(-11-8)**2/32*4=361/8
sqrt121-8**2/32*4
11-64/32*4=3
-11-64/32*4=-19
sqrt(121-8**2)/32*4
sqrt(57)/8
-sqrt(57)/8
Solve this equation 9h plus 2 - 79?
That's not an equation, and there's no solution required.
An equation has an 'equals' sign ( " = " ) somewhere in it.
That expression is just 9h - 77. Its numerical value depends on what 'h' is. Every time
'h' changes, the value of that expression changes. That's all there is to say about it.
Subtract 12x from each side: 3x - 5 = 7
Add 5 to each side: 3x = 12
Divide each side by 3: x = 4
What has The Golden Ratio in common with Alpha curves?
If you do not receive a useful answer to this question please resubmit with greater elaboration about the meaning of the term 'alpha curves'.
What is the anti derivative of ax plus b whole raised to the power 2?
First expand the equation to get the following:
(ax+b)2 = (ax+b)*(ax+b) = a2x2+2abx+b2
Now do the integral, remember a&b are just coefficients, so:
∫a2x2 + 2abx + b2 dx
So this integral becomes the following after integrating each term:
(a2/3)x3 + abx2 + b2x + C
You can always take the derivative of the answer to check & see if it is correct.
Find its nth derivative e to the power x sq By 2 multiply cosx?
I suggest you calculate the first 2 or 3 derivatives, and see whether you can find a pattern.
What is the solution to 7over8b-1 equals -15over16b plus 4?
If you mean: 7/8b - 1 = -15/16b + 4
Then the value of b works out as 0.3625
What is the value ofx when y equals 6?
It depends on the relationship between 'x' and 'y'. That information is usually
presented in the form of an 'equation'. But you haven't given us one, so there's
no way anybody can begin to figure it out.
What is the sum of x plus 9 equals negative7?
think about it. x+9=(-7) reverse the equation. (-7)-9=x
What is the value of x in x plus 15?
The information given places no restriction at all on the value that x can have. It can be any number - integer, rational, irrational or complex - of any magnitude.
What is the integral of x divided by a 7?
First just "factor" out the constant: (1/7)
∫ x/7 dx = 1/7
∫x dx
The integral of xn is xn+1/ (n+1)
In this case, our n=1 so:
x(1+1)/(1+1) = x2/2
Don't forget about the 1/7 we factored out:
(1/7)(1/2)(x2) = x2/14
Therefore the answer is (don't forget your C):
∫
x/7 dx =
x
2/14 + C
