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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 much digits are in pi?

Pi is infinite so there is no end to the amount of digits in it.

Pi is infinite so there is no end to the amount of digits in it.

Pi is infinite so there is no end to the amount of digits in it.

Pi is infinite so there is no end to the amount of digits in it.

Pi is infinite so there is no end to the amount of digits in it.

Pi is infinite so there is no end to the amount of digits in it.

Pi is infinite so there is no end to the amount of digits in it.

Pi is infinite so there is no end to the amount of digits in it.

Pi is infinite so there is no end to the amount of digits in it.

Pi is infinite so there is no end to the amount of digits in it.

Pi is infinite so there is no end to the amount of digits in it.

What are the points of intersection of the equations y equals 5x squared -2x plus 1 and y equals 6 -3x -x squared?

If: y = 5x^2 -2x+1 and y = 6-3x-x^2

Then: 5x^2 -2x+1 = 6-3x-x^2

Transposing terms: 6x^2 +x -5 = 0

Factorizing the above: (6x-5)(x+1) = 0 meaning x = 5/6 or x = -1

By substituting the values of x into original equations points of intersection are at (-1, 8) and (5/6, 101/36)

Why can't the Pythagorean theorem be used without a right angle?

The Pythagorean theorem is actually the law of cos, where the angle is 90.

What is the inequality of 5x - 10 2 - x?

Unfortunately, due to limitations of the browser that is used for posting questions on WA, the inequalities symbols are not available to us. Please re-post using the relevant words.

What quadrant does y equals 6x pass through?

y=6x is in the third quadrant while x is negative and in the first quadrant while x is positive.

If you are driving 28 miles per hour how many feet will you travel in 59 seconds?

28 miles per hour is equivalent to 28 x 5280 = 147840 feet per hour. Dividing this by 3600 gives us number of feet per second, which is equal to 41.06 recurring (that is, 41.06666), and multiplying it by 59 (the number of seconds) gives us 2422.93 recurring (that is, 2422.93333...) feet.

Therefore, in 59 seconds, you will travel 2422.93 feet.

6x-3y equals 30and4x equals 2-y then find x plus y?

6x-3y=30 and 4x=2-y then find x+y.



6x-3y = 30
4x = 2-y

x=5+y/2 from first equation, now sub into second

20+2y =2-y
giving y = -6
sub y=-6 into first equation

6x+18 = 30
giving x= 2

x= 2, y=-6

What is the perimeter of a triangle 7x plus 9w 2x plus 8y 2y plus 5w?

The perimeter of a triangle is the sum of the lengths of the three sides.

If the three expressions in the question are in fact the lengths of the

three sides, then the perimeter is their sum.

(7x + 9w) + (2x + 8y) + (2y + 5w) = 9x + 10y + 14w

What is the integral of x to the power of n with respect to x?

∫ xn dx = xn+1/(n+1) + C

(n ≠ -1)

C is the constant of integration.

What is the conversion factor for cubic centimeters?

You need to specify a second unit to convert to/from. there is now way to just just a conversion for a single variable

What does x equal if 4x plus 4 plus 5x-22 equals 90?

4x + 4 + 5x - 22 = 90

combined like terms

9x - 18 = 90

+18 +18

9x = 108

/9 /9 divide by 9 on both sides

x = 12

plug in and check

(4 * 12) + 4 + (5 * 12) - 22 = 90

48 + 4 + 60 -22 = 90

90 = 90

If y equals 7.5 when x equals 0.5 find y when x equals -0.3?

There is not enough information to solve this. We need to know more about the function that passes through the point (0.5,7.5) in order to know what happens at x = -0.3.

For example, there are an infinite number of straight lines in the form y = mx + b that would satisfy the x & y coordinates that you have given, not to mention an infinite number of other functions: example: y = bx or y = xa, or y = k*sin(x), for example.

How do you factorise- x2-3x 2 equals?

assuming x*2-3x+2:

factors of -3:

-1,3 --> sum: 2

1,-3 --> sum: -2

(x-1)(x+3)

When is the domain equal to the range?

The domain is all the input (X) values for your function, and the range is all the output (Y) values. So the only time they are equal would be when the X values are mapped to themselves (if X=Y).

Although quite boring considering this one function, using a restricted domain and range one can make them equal for other functions aswell.

Before you just accept what i've written wait for someone else to either confirm or contradict what i've written as although i'm pretty sure this is correct im only human.

Hope this helps.