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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 use of orthogonality in fourier series?
Orthogonality in Fourier series is used to simplify the representation of periodic functions as sums of sine and cosine functions. Because the sine and cosine functions are orthogonal over a defined interval, the coefficients for each term can be calculated independently. This property allows for the efficient decomposition of complex signals into simpler, non-overlapping components, making it easier to analyze and reconstruct signals in various applications, such as signal processing and communications.
v=vo + at OR v2=vo2+2ax and one more basic one that I'm forgetting...
How do you work out the scale of a drawing?
Not all drawings are done to scale, sketches of buildings and people for instance. However if it is a technical drawing the draughtsman/woman will state on the drawing the scale used.
If 3x plus 7 equals 15 what does x equal?
3x+7=15
-7 -7
3x=6
(Divide)
3 3
x=2
Check it:
3(2)+7=15
6+7=15
15=15
:D
5x2 - 14x + 8 = 5x2 - 10x - 4x + 8 = 5x(x-2) - 4(x-2)
= (5x-4)*(x-2)
What is15 equals 8x-5 plus 2x?
Add 5 to each side; 20 = 8x + 2x ie 20 = 10x
Divide each side by 10: 2 = x
Method to find Radius of curvature through differenciation?
You need to do your differentiation in terms of polar coordinates
What is the relationship between the period of a pendulum and its length?
For small angles, the formula for a pendulum's period (T) can be approximated by the formula:
T = 2 * pi * sqrt(L/g), where L is the length of the pendulum length, and g is acceleration due to gravity. See related link for Simple Pendulum.
What is x if 2x equals 4 and 4x equals 16 and 6x equals 36 and 8x equals 64?
2, 4, 6 and 8 respectively
2x - 3 = 7x + 12
subtract 2x from each side
-3 = 5x + 12
subtract 12 from each side
-15 = 5x
divide both sides by 5
-3 = x
What is equal to this number sentence 13 plus 3-6 plus 10?
13 + 3 - 6 + 10 = 20 : answer if it is 3 minus 6 in the question.
13 + 3.6 + 10 = 26.6 : answer if it is a decimal 3.6.
What is a replica of an original object that is too large or too small to be built at actual size?
a model
How do you solve 7x - 5 equals -13 plus 56?
7x - 5 = -13 + 56
Perform the indicated addition on the right side of the equation:
7x - 5 = 43
Add 5 to each side:
7x = 48
Divide each side by 7 :
x = 48/7 = 6 6/7
What is the answer to -5x cubed plus x squared-5x divided by x plus 5?
The question contains an expression. An expression does not have an answer - it cannot be solved.
What is the equation answer for 2.4x plus 3.1 equals 1.2x - 4.1?
2.4x + 3.1 = 1.2x - 4.1
Subtract 1.2x from both sides: 1.2x + 3.1 = - 4.1
Subtract 3.1 from both sides: 1.2x = - 7.2
Divide both sides by 1.2: x = -6
How do you identify sec x sin x equals tan x?
Rewrite sec x as 1/cos x. Then,
sec x sin x = (1/cos x)(sin x) = sin x/cos x. By definition, this is equal to tan x.
Discontinuous function in fourier series?
yes a discontinuous function can be developed in a fourier series
