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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 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
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.
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
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.
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
What is the anti-derivative of 5 to the x power?
ex and ln(x) are inverse functions.
With this you can get 5x = eln(5^x)
Therefore you can anti-differentiate this to get eln(5^x)/(ln(5x))
Which equals 5x/ln(5x)
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
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.
mensos yo no me la seee
Solve X -2x plus 10 plus 4x equals to 70?
x - 2x + 10 + 4x = 70
Combine like terms: 3x + 10 = 70
Subtract 10 from both sides: 3x = 60
Divided both sides by 3: x = 20
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 = 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
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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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)
