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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 answer to the equation -x2 plus x plus 20 equals 0?
There are two answers: -4 and +5 .
(If that baffles you, it's only because
you're not sure what the question is.)
The eccentricity of hyperbola 3x power 2 minus y power2 plus 4i The answer is 2 how?
There is no equation in the question: only an expression. Also, is there meant to be an i after the 4?
Please edit the question to include more context or relevant information.
Does being good at math help you a lot in physics and mechanical engineering?
Well, of course it does. You need a lot of math in both.
How do you solve the equation x2 - 5x plus 5 equals 0?
Use the quadratic formula:
x = [-b +&- SQRT (b2-4ac)]/2a
where a,b,c are coefficients of the quadratic equation in the form of ax2+bx+c. So in your example a=1, b=-5, c=5
x = [-(-5) + SQRT(52-4*1*5)]/2*1 & x = [-(-5) - SQRT(52-4*1*5)]/2*1
x = [5 + SQRT (5)] / 2 & x = [5 - SQRT(5)]/2
(a + b)*(a - b) = a2 - ab + ab - b2 = a2 - b2
The expression is often referred to as DOTS = Difference Of Two Squares. What is special about it is that the answer contains only the squares of the two terms while the cross-products cancel out.
So (√6 + √5)*(√6 - √5) = (√6)2 - (√5)2 = 6 - 5 = 1
The above result is used to simplify surds and, in particular, to rationalise their denominators.
Is y equals 5x plus 1 and y equals 5x are the lines parallel yes or no?
The slope is ' 5 ', so both lines MUST be parallel.
What is the formula to calculate the volume of a rectangular solid?
just multiply length by height by depth/width.
Y = -0.02 d2 + 0.04 d + 1
The function is maximum where its first derivative is zero.
0 = -0.04 d + 0.04
d = 1
Y = -0.02 + 0.04
Y = + 0.02
That's the maximum value of the function given in the question. If we knew how
that function relates to the height of a frisbee, we might be able to provide an
actual answer to the question.
When y equals 2 when x equals 3?
y = x - 1
Or an infinite number of other equations. You'll need to be more specific.
What is Successive differentiation of this if y sin in bracket sinx prove that y2 y1tan x y cos2x0?
Unfortunately, the browser used by Answers.com for posting questions is incapable of accepting mathematical symbols. This means that we cannot see the mathematically critical parts of the question. We are, therefore unable to determine what exactly the question is about and so cannot give a proper answer to your question.
How many fish can you have in a seventy two gallon fish tank?
depends on the size of the fish, the filtration, if it is salt or fresh... lots of variables.
A very rough estimate has always been 1 inch of fish per gallon of water.
Darius is asked to solve the equqtion x plus 5 equals 4x over 3?
x + 5 = 4x/3
Solve for x
multiply both sides of the equation by 3...
3 * (x + 5) = 3 * (4x/3)
3x + 15 = 4x
subtract 3x from both sides of the equation
(3x + 15) - 3x = (4x) - 3x
15 = x
x = 15
What is the limit definition for the vertical asymptotes of x minus 1 all over x2 plus x?
(x - 1)/(x2 + x) = infinity
In order to find this approach to infinity, we have to see what creates this jumbled mess. For it to approach infinity, the denominator must be 0. Therefore:
x2 + x = 0
x(x + 1) = 0
x1 = 0
x2 = -1
Thus, when limx=>0(x-1)/(x2 + x) = inf
Or, when limx=>-1(x-1)/(x2 + x) = inf
Differentiate y equals xsinx plus cosx?
y = x sin(x) + cos(x)
Derivative of the first term = x cos(x) + sin(x)
Derivative of the second term = -sin(x)
y' = Sum of the derivatives = x cos(x) + sin(x) - sin(x)
= [ x cos(x) ]
How do you solve 1029a3 plus 375p3?
1029a3 + 375p3 = 3*(343a3 + 125p3) = 3*[(7a)3 + (5p)3]
= 3(7a + 5p)*(49a2 - 70ap + 25p2)
What Is X squared subtract17x subtract 18 divided by x plus 1?
x2-17x-18 divided by x+1
Factorising the quadratic expression gives you:
(x-18)(x+1) which when divided by x+1 leaves you with: x-18
