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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
You're looking to combine these two equations into one that uses only the terms x and y, right? In that case, we can take either of those equations, solve it for t, and plug it's results in place of t in the other equation:
x = -3t + 4
y = t + 1
y - 1 = t
x = -3(y - 1) + 4
x = -3y + 3 + 4
x = 7 - 3y
You can of course solve this for y as well:
-3y = x - 7
y = (7 - x) / 3
How do you determine if a fuction is linear or non linear?
I your highest power of your variables is 1 then it is linear.
y=x+5 is linear
Draw the graph of negative X squared plus 5 minus X cubed and find the values of x where it intersects the x axis.
Can you show me how to graph y equals -x plus 4?
To graph a linear equation, you must determine what a and b are for the equation y=ax+b. For this example, a=-1 and b=4. A is the slope and b is the y-intercept. The slope is the height of the line over the length of it. In this equation, the line goes down one unit for each unit right. The y-intercept refers to where the line crosses the y axis. For this example, it crosses the y axis at y=4. The line will cross the y axis at y=4 and then goes down and to the right and up and to the left. It will cross the x axis at x=4.
What answer is that 3x-11 equals x plus 5?
3x - 11 = x + 5
subtract x from both sides:
3x - x - 11 = x - x +5
2x - 11 = 5
add 11 to both sides:
2x - 11 + 11 = 5+11
2x = 16
divide both sides by 2 to solve for x:
2x/2 = 16/2
x = 8
What is 2013 in Greek numerals?
Alpha = 1 (1000)
Beta = 2 (2000)
Gamma = 3 (3000)
Delta = 4 (4000)
Epsilon = 5 (5000)
Digamma = 6 (6000)
Zeta = 7 (7000)
Eta = 8 (8000)
Theta = 9 (9000)
Iota = 10
Kappa = 20
Lambda = 30
Mu = 40
Nu = 50
Xi = 60
Omicron = 70
Pi = 80
Qoppa = 90
Rho = 100
Sigma = 200
Tau = 300
Upsilon = 400
Phi = 500
Chi = 600
Psi = 700
Omega = 800
Sampi = 900
So, 2013 should be
Beta (2000)
Iota (10)
Gamma (3)
2000+10+3=2013
That means it is "big"
How do you find the inverse of the function f of x equals 2x plus 1 divide x-1?
xy - y = 2x + 1
xy - 2x = y + 1
x(y - 2) = y + 1
so x = (y + 1)/(y - 2) assuming y�
2.
So the inverse function is f-1(x) = (x + 1)/(x - 2)
I presume that sin-1x is being used to represent the inverse sin function (I prefer arcsin x to avoid possible confusion).
Make use of the trignometirc relationships:
cos2θ + sin2θ = 1
⇒ cosθ = √(1 - sin2θ)
cotθ = cosθ/sinθ
= √(1 - sin2θ)/sinθ
sin(arcsin x) = x
Then:
cot(arcsin(x)) = √(1 - sin2(arcsin(x))/sin(arcsin(x))
= √(1 - x2)/x
⇒ cot(arcsin(2/3)) = √(1 - (2/3)2)/(2/3)
= √(9/32 - 4/32) ÷ 2/3
= √(9 - 4) x 1/3 x 3/2
= 1/2 x √5
Can you have 2 garnishments in Florida at one time on your pay check?
No. Creditor judgments for debt executed as a wage garnishments must run consecutively. In addition it is very difficult for a creditor to garnish wages that belong to a person who can be defined under Florida law as the "head of household". The one exception is a child support and/or spousal maintenance garnishment will not prevent a creditor from garnishing wages for debt, as they are considered unrelated civil actions.
Does the period of a pendulum increase or decrease on Moon?
The period of a pendulum (for short swings) is about 2 PI (L/g)1/2. The gravity on the moon is less than that on Earth by a factor of six, so the period of the pendulum on the moon would be greater, i.e. slower, by about a factor of 2.5.
How and where is infinity used?
Infinity is used in a variety of manners. Because it means going on forever, domains and ranges use infinity. For example, the domain and range of the equation y=x are both (-infinity,infinity).
In calculus, infinity is commonly used in limits. This is in one of two ways; either the limit can approach infinity, or the number the limit is of can approach infinity.
Normal models in statistics also use infinity.
What are the roots of the equation x2 plus 9x plus 12 equals 0?
Use the quadratic equation: x = (-b plusminus root(b2 - 4ac)) / 2a
In this case, a = 1, b = 9, c = 12.
Another answer:
x2+9x+12 = 0
When factorised by means of the quadratic equation formula:
(x+7.372281323)(x+1.627718677) = 0
Therefore the roots are: -7.372281323 and -1.627718677
Check that your answer is correct by multiplying out the brackets which should bring you back to x2+9x+12 = 0
