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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 the derivative of tan x0 its x to the power 0?

Regardless of what 'x' is, (x)0 = 1 .

tan(1 radian) = 1.55741 (rounded)

tan(1 degree) = 0.01745 (rounded)

We can't remember the derivative of the tangent right now, but it doesn't matter.

This particular tangent is a constant, so its derivative is zero.

Is 60 2x equals to 70 4x what is x?

Impossible to give a correct solution in the absence of any plus or minus signs.

How many kL makes milliliter?

One millionth (1/1000000) of kL makes 1 mL

1 kL = 1000 L = 1000000 ml

What is the use of hyperbolic functions?

Hyperbolic functions can be used to describe the position that heavy cable assumes when strung between two supports.

What does x equal for the equation 5x plus 7 equals 3x-5?

5x + 7 = 3x - 5

Subtract 3x from both sides: 2x + 7 = -5

Subtract 7 from both sides: 2x = -12

Divide both sides by 2: x = -6

4x-6 equals x plus 9?

4x - 6 = x + 9

Add 6 to each side:

4x = x + 15

Subtract x from each side:

3x = 15

Divide each side by 3:

x = 5

Graph this equation 5x plus 10y equals 20?

for the equation:
5x + 10y = 20, the two intercepts are:
x = 0 , y = 2 or (0,2)
y = 0 , x = 4 or (4,0)

The graph is a straight line passing through the two intercepts (0,2) and (4,0)

Is y equals mx plus b a non linear or linear equation?

In most situations, the answer that is looked for is linear.

However, since y=mx+b does not follow superposition, it is in fact, nonlinear.

Proof:

y1=mx1+b

y2=mx2+b

x3=Ax1+Bx2

y3=m(Ax1+Bx2)+b=mAx1+mAx2+b

this does not equal Ay1+By2, making it nonlinear

How do i solve for X plus y equals 22?

Well, honey, to solve for X when X + Y = 22, you just need to subtract Y from both sides of the equation. So, X = 22 - Y. There you go, math problem solved quicker than you can say "Golden Girls marathon."

What is the answer to -2x-10y equals -12 and 3x plus y equals 4?

x=1, y=1 looks a good guess which turns out to be correct. Add on half of the first equation to itself (so we get another "3x" equation) to get -3x-15y=-18. Now add the 2 equations to get rid of the 3x, giving you -9y=-9 or y=1. Use y=1 in either equation to get x=1.

In general you can turn one equation around to give x in terms of everything else. The substitute your expression for x into the other equation which will give you an simple equation for y only.

The method I used above found an expression for 3x rather than x alone because that's easier to substitute into the other equation.

If x plus 4 1.3 equals 7 what does x equal?

if you mean x +13/3=7, then its 8/3. However, if you mean x+41.3=7, then x=-34.3

What is the base 10 logarithm called?

The base 10 logarithm is called the "common logarithm".

* * * * *

It is also called the 'Briggsian logarithm', named after Henry Briggs, who introduced his table of logarithms on base 10 at Oxford in 1624, much to the joy of navigators, astronomers, and others having tedious calculations to perform.

How do you solve 25x equals 4?

To isolate the "x", you divide both sides (left and right of the equal sign) by 25.

To isolate the "x", you divide both sides (left and right of the equal sign) by 25.

To isolate the "x", you divide both sides (left and right of the equal sign) by 25.

To isolate the "x", you divide both sides (left and right of the equal sign) by 25.

X plus 4y equals 1 2x-2y equals -8?

x+4y = 1

2x-2y = -8

Mutiply all terms in the bottom equation by 2 and then add them both together:

5x = -15

x = -3

Substitute the value of x into the equations to find the value of y:

So: x = -3 and y = 1

Solve 4x-4y equals 24?

X and Y could equal any number of things.

For instance, if x=6 and y=0, then that will equal 24.

Or if x=8 and y=2, then that will equal 24.