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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

Why degree of amplitude of simple pendulum should not exceed 5?

wind resistance cannot be ignored in considering a simple pendulum. The wind resistance will be proportional to a higher power of the velocity of the pendulum. A small arc of the pendulum will lessen this effect.

You could demonstrate this effect for yourself. A piece of paper attached to the pendulum will add to the wind resistance, and you can measure the period both with and without the paper.

How do you factor x2 11x 10?

Can you improve the question? It's hard to tell what you mean.

What is an equation where the graph of all solutions lies on a line?

There are an infinite number of equations that meet that requirement.

One of them is

y = x

Find the slope and the y-intercept for -4x plus 5y equals 10?

-4x + 5y = 10

Add 4x to each side:

5y = 4x + 10

Divide each side by 5:

y = 0.8x + 2

The graph of this equation is a straight line with [ slope = 0.8 ] and [ y-intercept = 2 ].

What is the interval notation of x equals 0?

Ammuming that you meant to post this in statistics, if x=0 it denotes an empty set. This can be shown by a 0 with a line through it.

If y times x-1 equals z then x equals?

y * (x-1) = z Express as x,

divide both sides by y

(x - 1) = z/y

add 1 on both sides

x = z/y + 1

2x plus 6 equals -9 plus 5x?

2x + 6 = -9 + 5x

Subtract 2x from both sides: 6 = -9 + 3x

Add 9 to both sides: 15 = 3x

Divide both sides by 3: 5 = x

How do you solve the inequality x plus 6 divided by 4 is greater than or equal to 2?

(X+6)/4 >= 2 First, remove the fraction on the left side by multiplying both sides by four

X+6 >= 8 Subtract 6 from both sides to get your X value

X >= 2

2 times 2x - 4 times 2 plus 3x equals -1?

2(2x - 4)(2 + 3x) = -1

2(4x +6x^2 - 8 - 12x) = -1

2(6x^2 - 8x - 8) = -1

12x^2 - 16x - 16 = -1

12x^2 - 16x - 15 = 0

x= 1.968 x = -0.635

How many solutions does the equation X 2 plus 7X plus 12 have?

None because without an equal it is not an equation.

But if it was in the form of x2+7x+12 = 0 then it would have 2 solutions which are x = -3 and x = -4

How do you write ten million dollars?

$10,000,000.00

Ten million dollars and no cents.