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Calculus

Parent Category: Math and Arithmetic
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.
An asymptote of a curve is a line where the distance of the curveand line approach zero as they tend to infinity (they get closerand closer without ever meeting) If one zooms out of a hyperbola, the straight lines are usuallyasymptotes as they get closer and closer to a specific point, yetdo not...
one way is you could get rid of the fraction by the multiplying  everything denominator of the fraction and then just solving it  regularly.
d/dx (ln(6x)) = (d/dx (6x))/(6x) = 6/6x = 1/x
normally when people say "which of the following" there are actually choices following it below...
An even function is symmetric about the y-axis. If a function is  symmetric about the origin, it is odd.
By graphing the lines on the coordinated plane they will intersect  at (2, -4) which is the solution of the equations
x-y=0   x=y   so you will use that in the other equation by substituting every y  with x   2x+y=0   2x+x=0   3x=0   x=0/3   x=0   then use that in the previous equation by substituting every x with  0   x=y   0=y; y=0   finally x=0 and y=0
Gottfried Wilhelm Leibniz is credited with defining the standard  notation for integrals.
if x = -6 and y = 4 - x, then y = 4 - (-6) = 4 + 6 = 10.
Simple harmonic motion is understood from an oscillating pendulum.  It is also periodic. An example of periodic motion without simple  harmonic motion is the rotation of the blades of a fan.
A simple pendulum has one piece that swings. A complex pendulum has  at least two swinging parts, attached end to end. A simple pendulum  is extremely predictable, while a complex pendulum is virtually  impossible to accurately predict.
Nothing is more than infinity, nothing is longer than infinity. It  is infinite, definitely.      Nothing is more than infinity. Infinity will just go on forever!
146.875 rounded to three decimal places is 147.
4x + 5 >= 11.... subtract 5 from both sides and divide by 4.
No; sin2x = 2 cosx sinx
4x + 3y + 3 = 4 ----> 4x = 1 - 3y ----> x = 0.25 - 0.75y  ----> 3y = 1 - 4x ----> y = (1/3) - (4/3)x
x and a half (1.5x)
You must first apply the product rule to the term: 23teProduct Rule: y=uv= u(dv/dx) + v(du/dx)*the derivative of e^x is still e^x and since your 'x' value is one, the derivative of 'e ^1' stays as 'e'plug it in: y = 23t (e) + 23 (e)then include the derivation of your last term: -1.2t ---> -1...
The value of 4.2 X 10 to -3 power is 0.0042
Yes, the derivative of an equation is the slope of a line tangent  to the graph.
That doesn't need factoring, it needs solving.   2x = 1   x = 1/2
x^2/x +2=4/x +2 (x^2/x)-(4/x)=0(x^2-4)/x=0x^2-4=0(x+2)(x-2)=0x=±2
0/0 = 2 = 100-100/100-100 = 2=10 square -10 square/10 square - 10 square = 2by a square and b square formula(10+10) (10-10)/ 10 common (10-10) =2 (10-10) cancel= 10+10/10 =2=20/10=2 answerBy pavan patwa mobile no. 09691536364
100 x 400 is equal to 40,000
1.25 * 18 / 20.   The order of operations is:   P (parenthesis)   E (exponents)   M (multiplication) / D (division) --> order for these two is  left to right   A (addition) / S (subtraction) --> order for these two is also  left to right    So we would do 1.25 * 18 first....
f(x)= tan2(x)   f'(x)= 2tan(x)*sec2(x)
4.7 x 5.2 = 24.44
== Answer ==    e = 2.71828183 (approximately) The definition of ln is this: ln x = y when e ^ y = x. It's an inverse property... So ln x means "find out what value y would need to have so that e ^ y equals x" Since e ^ 1 = e, ln e has to equal 1.     ...
Functions basically establish relationships between expressions.Many common Algebraic functions are expressed as functions of x: f(x) = x2 + 4 Which could also be written as y = x2 + 4 However, this just scratches the tip of the universe. Not only domathematical functions vary in complexity and...
The graph of the equation is a straight line. 'm' is its slope. 'b' is its y-intercept
2x+8=10... Subtract 8 on both sides, then devide by 2... 2x=2... x=1
Any set of answers that make one sentence will make the other  correct. y=2x is the same as 2y=4x because (1,2) and (3,6) would  make these correct.
The I stands for 'Integers' (in this case the answer is {3, 4, 5,6, ...}).
No, an function only contains a certain amount of vertices; leaving a logarithmic function to NOT be the inverse of an exponential function.
Calculus is commonly taken as a first year course in college, but can be taken as an advanced course late in high school through programs like AP Calculus.
yes,but only when it has nothing else avalable
It was discovered in1940.
Circumference = 2 x pi x radius Therefore, radius = circumference / ( 2 x pi )
It doesn't make sense to convert between units of volume and units  of length.
4y20 = 500 => y20 = 25 => y = 20√25 = 1.1746 approx Then x = 500 - y = 489.8254 (approx).
squares go up to infinity there is no limit, but there is no answer for the largest known square number here yet there won't no answer for that.
Any number to the power zero is equal to 1 - except zero to the power zero, which is undefined. So, if x is not equal to zero, the answer is 1. Any number to the power zero is equal to 1 - except zero to the power zero, which is undefined. So, if x is not equal to zero, the answer is 1. Any number...
That's called the commutative property. That's called the commutative property. That's called the commutative property. That's called the commutative property.
There are 2.54 centimetres in one inch. Therefore, rounded to two decimal places, 6.4 centimetres is equal to 6.4/2.54 = 2.52 inches.
she likes both of them or friends
Brushing and flossing can remove plaque which causes calculus to form. But once calculus does form, it is too hard and firmly attached to be removed with a toothbrush. dental visits are necessary so that calculus build up can be professionally removed with sharp instruments.Source: i am a dentist
Bifurcation Ratio (Rb) = ΣN / ΣN + 1 ΣN = Total number of stream of a particular order.ΣN + 1 = Total number of stream of a next higher order.
Solve this simultaneous equation by elimination:x+y = -4x-y = 2Add both equations together:2x = -2Divide both sides by 2 to find the value of x:x = -1Substitute the value of x into the original equations to find the value of y:Therefore: x = -1 and y = -3Remember that a - - is equal to a +So -1- -3 ...
To solve for 2 unknown variables you need 2 independent equations. You have only 1.
t = x/3 + 4 There is no further "solution".
It was made independently by Sir Isaac Newton (English) and  Gottfried Wilhelm Leibniz (German).
Inequality indicates difference between two things quantitatively. We say two things are unequal to indicate that they are qualitatively different.e.g.- Quantities x and y have inequal values. Indian football team and Brazilian football team are unequal in strength.
3x = 1.2 + 1.2 + 1.2 3x = 3.6 x = 1.2 If 'x' equals 1.2, then that's a true statement.
d/dx(1+tanx)=0+sec2x=sec2x
Its decimal value keeps going on forever, without ever repeating. It can never be reduced to an exact fraction value of two whole integers.It means that pi is an irrational number and as such can not be expressed as a fraction
(8 + y) / 4 = 8/4 + y/4 = 2 + y/4
Food Cost refers to two concepts and has two basic formulas: 1) Plate Cost= total cost of a menu item / sales price This is the cost of a menu item including all the ingredients served with the dish divided by the sales price before tax. This is a theoretical food cost used to forecast your budget...
Seventy-seven to the nearest ten is 80.
1 + e j4 = e j2 (e -j2 + e j2 ) --> e j2 e -j2 + e j2 e j2 : The e j2 e -j2 = e 0 =1 and e j2 e j2 equals e j4 You add the exponents.
17.2*40 = 17.2*(10*4) since 40 = 10*4 =(17.2*10)*4 by the associative rule for multiplication = 172 *4 =(100+70+2)*4 = 400+280+8 = 688
It means that the majority of the class is failing and it could be either that the assignment/test/quiz is too hard or the teacher/professor is not good at teaching and is a hard marker.
3x-2y=6 -2y=-3x+6y=1.5x-3
0+100=1001+99=1002+98=1003+97=1004+96=1005+95=1006+94=1007+93=1008+92=1009+91=10010+90=10011+89=10012+88=10013+87=10014+86=10015+85=10016+84=10017+83=10018+82=10019+81=10020+80=10021+79=10022+78=10023+77=10024+76=10025+75=10026+74=10027+73=10028+72=10029+71=10030+70=10031+69=10032+68=10033+67=10034...
∫ xsin(2x) dx = (-1/2)xcos2x + (1/4)sin2x You get this by using Integration by Parts. An integral in the form ∫udv can be written as uv-∫vdu In the case of your problem u=x, du=1, dv=sin2x, v=(-1/2)cos2x <--You get v by integrating dv Using the formula ∫udv = uv- ∫vdu and by plugging...
  == Answer ==   All I know is it takes about 4 years of college/
(4/27)*pi*R3*tan(x)R being the radius of the base of the cone.
The highest common multiple of 21 and 84 is infinity. The least common multiple, on the other hand, is 84, while the greatest common divisor is 21.
A shallow gradient is a low slope of land. It usually has contour  lines that are decent way apart from one another.
I suppose you mean t2-4t=21 minus 21 from both sides we get-> t2-4t-21=0find 2 numbers that multiply to get 21, and combined each other to get 4.3&7 work, 3*7=21, 3-7=-4--> (t-7)(t+3)=0Ex: X*Y=0, that can be mean X or Y =0, or X and Y=0 Our equation (t-7)(t+3)=0, means that t-7=0.......t+3...
  the volume of the box would be 4x^3-42x^2+80x since a volume wasn't given to find 'x' or a set 'x' wasn't given, that is the equation you would use
Litholog as the name suggests is the systematic record of lithology in a vertical section or a core.
answer is:Find the function's zeros and vertical asymptotes, and plot them on a number line.Choose test numbers to the left and right of each of these places, and find the value of the function at each test number.Use test numbers to find where the function is positive and where it is negative...
In basic terms, Calculus is Differentiation and IntegrationAnd all things associated with that.
x= 30 degrees first, subtract 3 from 4 and you get 2sinx=1 then, divide both sides by 2 to get sinx=1/2 by using a 30, 60, 90 triangle you can see that 1 is the side opposite theta and 2 is the hypotenuse therefore, your answer is 30