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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 second order differential equation with many variables?

I want to solve the following equation:

X''(t)=(`ρ`*Cd*(Vz-Wz)*(Vx-Wx))/Bc

Y''(t)+(`ρ`*Cd*(Vy-Wy)*(Vx-Wx))/Bc

Z''(t)+((`ρ`*Cd*(Vz-Wz)^2)/Bc)+g

I don't have values of any variable. i need general solution. I am using Mupad, matlab please help me. Thanks

Do all rational equations have an single solution?

yes they do except for the one on your test that is worth he most marks

What will give the answer equals 5 when x equals 12?

There are infinitely many possible solutions. Some are:

  • x - 7
  • abs(sqrt(x + 13))
  • x^2 - 139

Where does y equals five and y equals negative two x plus three intersect?

y = 5

y = -2x + 3

Since both of those things are equal to 'y', they're equal to each other.

5 = -2x + 3

Add 2x to each side:

5 + 2x = 3

Subtract 5 from each side:

2x = -2

Divide each side by 2:

x = -1

The point of intersection is (-1, 5) .

What is 2x² plus x plus 4 equals 0 in standard form?

That is already in standard form. If you would like to express it in vertex form, that would be:

2x2 + x + 4 = 0

x2 + x/2 + 2 = 0

x2 + x/2 + 1/16 - 1/16 + 2 = 0

(x + 1/4)2 + 47/16 = 0

What is the answer to 4 - 3x equals 2x plus 9?

4 - 3x = 2x + 9

Add 3x to both sides: 4 = 5x + 9

Subtract 9 from both sides: -5 = 5x

Divide both sides by 5: x = -1

Why does a cat have 4 feet?

to balance their fall when dropping from great hights. those feet help it survive they say cats have 9 lives cause the could survive falls.

What is the answer to 5 plus 3y equals -4?

5 + 3y = -4

First subtract 5 from both sides.

3y = -9

Then divide both sides by 3.

y = -3

How do you solve 4x plus 12 equls 32?

first subtract 12 from each side making it 4x =20

then divide each side by 4 making it x=5