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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 mean by hyperbola?

A hyperbola is a conic section. It is a curve in 2-dimensional space whose equation is of the form (x - a)*(y - b) = c where a, b and c are constants.

The curve is asymptotic at the points x = a and y = b.

See link for more.

Please solve this question ASAP 5x to the power of 2 - 4x equals 3x to the power of 2 - 2x?

5x2 - 4x = 3x2 - 2x

Subtract 3x2 from each side:

2x2 - 4x = -2x

Add 2x to each side:

2x2 - 2x = 0

Divide each side by 2:

x2 - x = 0

Factor the left side:

x(x - 1)=0

x = 0

and

x = 1

It took me almost 4 minutes, since I ran into some traffic.

How many digits is 189743558134324259910593462?

189743558134324259910593462 consists of 27 digits.

Whether the period of a pendulum is influenced by the point from which it is released?

Yes as the momentum is greater although now that i think about it it may only effect the speed only

What is the solution of xsquared-4x-11 equals 8?

X2 - 4X - 11 = 8

subtracting 8 from each side

X2 - 4X - 19 = 0

I do not even try to factor these, but I use the quadratic formula.

X = - b (+/-) sqrt(b2 - 4ac)/2a

a = 1

b = - 4

c = - 19

X = - (- 4) (+/-) sqrt[(- 4)2 - 4(1)(- 19)]/2(1)

X = 4 (+/-) sqrt(16 + 76)/2

X = 4 (+/-) sqrt(92)/2

X = 4 (+/-) sqrt(22 * 23)/2

X = [4 (+/-) 2sqrt(23)]/2

-----------------------------------------exact answer which you can clean up by numerator/denominator eleimination and you can estimate the X intercepts also.

Is x equals 4 for the problem 2x plus 4 equals 0?

Nope. In this case, x would be equal to -2. Here's how you can work it out:

Given:

2x + 4 = 0

Subtract four from both sides of the equation:

2x + 4 - 4 = 0 - 4

2x = -4

Now divide both sides by two:

2x / 2 = -4 / 2

x = -2

8-2x2 equals x plus 22-7 in ax2 plus bx plus c equals 0 form?

8 - 2x2 = x + 22 - 7

Combine like terms on the right side:

8 - 2x2 = x + 15

Subtract 8 from each side:

-2x2 = x + 7

Add 2x2 to each side:

0 = 2x2 + x + 7

How do you reduce fractions with whole numbers?

first you divide the numerator by whatever number and the denominator by the same number and that is your answer.

Integration Read 1st answer for more info?

What is the [int] (x+1)*5^[(x+1)^2]? [int]= integration I got 5^[(x+1)^2]/ 2ln 5. Is this correct?