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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

Write down the linear tangent line approximation to y equals e 2 at the point x equals 0 and sketch the graph of this function and the tangent line?

y = e2 or e2 is not a function of x: it is a constant. So it is a horizontal straight line and its tangent, at any point, is itself.

If you think I am going to sketch a graph on this browser, you have another think coming!

y = e2 or e2 is not a function of x: it is a constant. So it is a horizontal straight line and its tangent, at any point, is itself.

If you think I am going to sketch a graph on this browser, you have another think coming!

y = e2 or e2 is not a function of x: it is a constant. So it is a horizontal straight line and its tangent, at any point, is itself.

If you think I am going to sketch a graph on this browser, you have another think coming!

y = e2 or e2 is not a function of x: it is a constant. So it is a horizontal straight line and its tangent, at any point, is itself.

If you think I am going to sketch a graph on this browser, you have another think coming!

What is 8x plus 6 equals 10x-4?

8x + 6 = 10x - 4

Add 4 to each side of the equation:

8x + 10 = 10x

Subtract 8x from each side:

10 = 2x

Divide each side by 2:

5 = x

How do ellipses work?

Ellipses are used to create a suspense or a cliffhanger ending. They are mainly used in stories.

:D

How do you find out time taken?

D= Distance

S= Speed

T= Time

Speed = Distance/Time

Distance = Speed x Time

Time Taken = Distance/Speed

What is 10x equals 7x plus 15?

It is a linear equation in x.

10x = 7x + 15

3x = 15

x = 5

Does -2x - 6-3x -21 equal x3?

If you mean ((-2) x (-6)) - (3 x (-21)) then it equals 75.

Hope this helps!

How would you find the points of intersection of the parabolas y equals 4x2 -2x -1 and y equals 3x -2x2 plus 5 by completing the square?

If: y = 4x^2 -2x -1 and y = 3x-2x^2 +5

Then: 4x^2 -2x -1 = 3x -2x^2 +5

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

Dividing all terms by 6: x^2 -5/6 -1 = 0

Completing the square: (x-5/12)^2 = 169/144

Square root both sides: x-5/12 = -13/12 or 13/12

Adding 5/12 to both sides: x = -2/3 or 3/2

Substitution of x into original equations intersections are at: (-2/3, 19/9) and (3/2, 5)

How many years would it take to count out 60 billion dollars?

well it dapends how fast u count but i can count out 120 in a min so 60 billion/120=ur aunswer

How do you solve x raised to the power of 36?

x raised to the power 36 is x36. Without a value for x, there is nothing to solve!

Where is the center of the circle given by the equation x - 3 2 plus y plus 2 2 equals 9?

(3, -2) You find the center by taking the opposite of the numbers added to the X and to the Y.

What is the range of y equals negative 2x squared plus x?

y = -2x² + x

y = -2 [ x² - (x/2) ]

y = -2 [ x² - (x/2) + (1/4) ] + (1/2)

y = (1/2) - 2[ x - (1/2) ]² ≤ (1/2)

Hence, the Range of y is : -∞ < y ≤ (1/2).

It can be written as the interval ( -∞, 1/2 ]. ........ Ans.

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Happy To Help !

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X2 plus 2X equals 8 completing the square?

I think this is how you do it:

x2+2x = 8

x2+2x+(1/2*(2))2 = 8 + (1/2*(2))2

x2+2x+1=8+1

(x+1)2 = 9

SQ.ROOT [(x+1)2 = 9]

x+1 = 3 and x+1 = -3

so,

x=2 and x=-4

How do you isolate y in x plus 2y equals 12?

subtract x from both sides

divide each term by 2.

y=-1/2 x+6