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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 the trinomial for x square plus 2x?

Complete the square.

X^2 + 2X

halve the linear term ( 2 ), square it and add to polynomial

X^2 + 2X + 1

When doing an algebraic expression do you need to simplify it help really desperate Like 2x times 2y is it equals to 4xy or 2x times 2y?

(2x)(2y) is the exact same as (2)(x)(2)(y) since they are all multiplication, which can be rearranged in any order, so this is also the same as (2)(2)(x)(y), which is the same as (4)(x)(y), so in the end:

(2x)(2y)=4xy

If a right circular cone intersects a plane that passes through one of its nappes but the plane is neither parallel to the edge of the cone nor perpendicular to the cones axis the resulting curve will?

If a right circular cone intersects a plane that passes through one of its nappes, but the plane is not parallel to an edge of the cone, the resulting curve will bea(n) _____

.

ellipse

Graph the equation y-2x equals 5?

This is hard to graph via wiki, but first you must solve for y. Therefore,

y = 2x + 5

5 is the y-intercept, which means at the point (0,5), you should make a dot. The slope is 2, or 2 over 1. At the dot you just made, move up two spaces, and then to the right one space. Make another dot. Use a ruler to connect the two dots.

What is cosine of 1?

Cosine of 1 degree is about 0.999848.

Cosine of 1 radian is about 0.540302.

How many diagonals will a 40 sided polygon have?

740

The number of digaonals is given by n(n-3)/2, where n is the number of sides (or vertices) of a polygon:

40(40-3)/2=20*37=740

For a proof, see:

http://www.artofproblemsolving.com/Wiki/index.php/Diagonal

12 x 3 to the 2nd power?

12 x 3 = 36

(12 x 3)2 = 362 = 1296

NOTE : The calculation can also be performed on the individual terms.

122 x 32 = 144 x 9 = 1296

1 nm equals how many um?

1 nm = 0.001 µm

1 µm = 1000 nm






you may try the online converter linked below next time

Explain how to solve x2 plus 8x -2 equals 0 by completing the square?

x² + 8x -2 = 0

x² + 8x = 2

x² + 8x + (8/2)² = 2 + (8/2)²

x² + 8x + 16 = 2 + 16

(x + 4)² = 18

x + 4 = ±√18

x = -4 ±√18

x = -4 + √18 or x = -4 - √18

if you are still confused, i want you to follow the related link that explains the concept of completing the square clearly.

Does a short or a long pendulum have a longer period?

The time of swing of a pendulum is T = 2π √ (l/g) where l is the length of the pendulum.

As T ∝√l (Time is directly proportional to the square root of l) then, the longer the pendulum, the greater is the period. Therefore longer pendulums have longer periods than shorter pendulums.

14y-51 equals 187 plus 4y?

14y - 51 = 187 + 4y

Subtract 4y from each side:

10y - 51 = 187

Add 51 to each side:

10y = 238

Divide each side by 10:

y = 23.8

Xsquared minus 7x plus 10 equals 28?

x2 - 7x + 10 = 28; whence,

x2 - 7x - 18 = 0, and

(x - 9)(x + 2) = 0.

The above is true exactly when, either,

x - 9 = 0, or

x + 2 = 0.

Therefore, the solution is:

x = 9 or -2.

Checking,

92 - (7)(9) + 10 = 81 - 63 + 10 = 28; and

(-2)2 - (7)(-2) + 10 = 4 + 14 + 10 = 28;

verifying the solution found above.

What will be the formula when mean and variance of 3 population are given?

The formula for WHAT? Since you have not bothered to specify that crucial bit of information, I cannot provide a more useful answer.

The formula for WHAT? Since you have not bothered to specify that crucial bit of information, I cannot provide a more useful answer.

The formula for WHAT? Since you have not bothered to specify that crucial bit of information, I cannot provide a more useful answer.

The formula for WHAT? Since you have not bothered to specify that crucial bit of information, I cannot provide a more useful answer.

Which pair of values is the solution to the system of equations below r plus 2t equals -3 and 3r-4t equals -9?

r + 2t = -3 . . . . (A)

3r - 4t = -9 . . . . (B)

2*(A) + (B): 2r + 4t + 3r - 4t = -6 - 9

5r = - 15 so r = -3

substituting in (A), t = 0

So the answer is (r, t) = (-3, 0)

r + 2t = -3 . . . . (A)

3r - 4t = -9 . . . . (B)

2*(A) + (B): 2r + 4t + 3r - 4t = -6 - 9

5r = - 15 so r = -3

substituting in (A), t = 0

So the answer is (r, t) = (-3, 0)

r + 2t = -3 . . . . (A)

3r - 4t = -9 . . . . (B)

2*(A) + (B): 2r + 4t + 3r - 4t = -6 - 9

5r = - 15 so r = -3

substituting in (A), t = 0

So the answer is (r, t) = (-3, 0)

r + 2t = -3 . . . . (A)

3r - 4t = -9 . . . . (B)

2*(A) + (B): 2r + 4t + 3r - 4t = -6 - 9

5r = - 15 so r = -3

substituting in (A), t = 0

So the answer is (r, t) = (-3, 0)

How solve 7w plus 4-3w equals 15?

7W + 4 - 3W = 15

gather the w's together

4W + 4 = 15

subtract 4 from each side

4W = 11

divide each sides integers by 4

W = 11/4

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