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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 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.
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
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.
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
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
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
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) ]
What number must you add to complete the square of x2 4x7?
If your question is about x2 ± 4x + 7 then the answer is -3.
However, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. If the your question was not about the above equations, please resubmit your question spelling out the symbols as "plus", "minus", "times", "equals".
The integer value of 3x plus 4y take away 12 plus X times 1 times Y plus 0 equals 28. This is taught in 8th grade math.
What is the ordered pair for 2y equals 4x plus 8 and 4y equals 4x plus 20?
x = 1 and y = 6 so the lines intersect at the point (1, 6)
Is 5 raised to 2x is equal to 18?
5(2X) = 18
take natural log each side
ln[5(2X)] = ln(18)
now, as a logarithmic operation the exponent can come down in front of the log sign
2X ln(5) = ln(18)
divide thus
2X = ln(18)/ln(5) [ not ln(18/5)!!!! ]
2X = 1.795888947
divide by 2
X = 0.8979444735
-------------------------------check in original equation
5(2*0.8979444735) = 18
18 = 18
-------------checks
