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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 solve 4e3x-5 equals72 for x?

4 * e3x-5 = 72

Start by dividing both sides by 4, so we get e3x-5 = 18

From here, we can take the ln of both sides to get rid of e, so you get

3x-5 = ln(18), basic algebra gives you x = (ln(18)+5)/3

How do you solve for variable in x-9 equals 1?

First add 9 to both sides of the equation, you end up with the answer x=10

How do you factor 5t2 plus 20t plus 20?

This is a basic quadratic function. The easiest way to go about this is by using the quadratic formula.
a=5 ; b=20 ; c=20
-b + or - root (b2-4ac) all over 2a.

What is the value of x when 3x is less than -2x plus 15?

Treat as equation.

3X < - 2X + 15

add 2X to both sides

5X < 15

divide both sides by 5

X < 3

Must be, because putting 3 in for X gives you an equality, so X has to be less than that 3 found.

How do you evaluate the integral of 2udu divided by 1 plus u squared?

for the integral of (2x)dx/(1+x2 )

Take (1+x2 ) as your 'u' substitution.

find du, du= 2x dx

use u substitution to write new integral, integral of du/u

the integral of du/u= ln abs(u) + C

therefore, your original problem becomes an answer with ln

ln abs (1+x2) + C

*abs refers to absolute value of the parentheses

How do you solve this geometry question for x given BD equals 5x plus 3?

BD = 5x + 3

Subtract 3 from each side:

BD - 3 = 5x

Divide each side by 5:

1/5 of (BD - 3) = x

How do you solve -24-0.125p equals 0.375p?

-24-0.125p = 0.375p

-0.125p-0.375p = 24

-1/2p = 24

p = -48

What has the author F X Linsenmann written?

F. X. Linsenmann has written:

'Worte der Erinnerung an Moriz von Aberle, Doctor und Professor der Theologie'

Is 31 sqared?

The number 31 is not the square of a whole number. It is the square of 5.5678.

How does connecting the points on a graph affect your data analysis?

They make points in space related to each other. Now they are connected in the problem, instead of just points on the graph.

How do you multiply -2 x 3over-8 x -5over7 and put it in simplest form?

-2 * 3/(-8) * (-5)/7

There are three negatives being multiplied so the final sign is negative.

- (2*3*5)/(8*7) = -15/28

-2 * 3/(-8) * (-5)/7

There are three negatives being multiplied so the final sign is negative.

- (2*3*5)/(8*7) = -15/28

-2 * 3/(-8) * (-5)/7

There are three negatives being multiplied so the final sign is negative.

- (2*3*5)/(8*7) = -15/28

-2 * 3/(-8) * (-5)/7

There are three negatives being multiplied so the final sign is negative.

- (2*3*5)/(8*7) = -15/28

How do you solve 11-9m equals 2?

This may get complicated. Try and stay with us if you possibly can:

11 - 9m = 2

Subtract 11 from each side:

- 9m = -9

Divide each side by -9:

m = 1