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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
Can you help us 3x plus 2y equals 43 solve for y when x equals -4 plus y divided by 2?
3x+2y=43 where x=(-4+y)/2 =0.5y-2
3(0.5y-2)+2y=43
1.5y-6+2y=43
3.5y-6=43
3.5y=49
y=49/3.5 which is the same as (49x2)/7 =14
if this question is -6 times 3 plus 15 then = -21
if its -6 plus 3 plus 15 then = 12
if its -6 times 3 plus 1.5 then = -16.5
if it is -6 plus 3 plus 1.5 = -1.5
What is the formula for factoring the difference of two numbers each to the power of seven?
a^7 - b^7 = (a - b)(a^6 + a^5.b + a^4.b^2 + a^3.b^3 + a^2.b^4 +a.b^5 + b^6)
What is the domain and range of y equals 2x plus 5?
Domain : set of all reals
Range: set of all reals
What is the meaning of calculus?
Any solid concretion, formed in any part of the body, but most frequent in the organs that act as reservoirs, and in the passages connected with them; as, biliary calculi; urinary calculi, etc., A method of computation; any process of reasoning by the use of symbols; any branch of mathematics that may involve calculation.
What is n over 18 x 6 over n to the 4th power?
(n/(18*6))/n4=
(n/108)/n4 ;Multiply 18 and 6
(n/108)*(1/n4) ;Multiply by the reciprocal of n4, which is just 1 over n4
n/(n4*108) ;The n4 will go in the bottom of the fraction
1/(108n3) ;n over n4 will give you 1 over n3
What does x equals in 3x plus 4 equals 12?
3x + 4 = 12
Subtract 4 from both sides: 3x = 8
Divide both sides by 3: x = 8/3 = 22/3
What is the limit of x squared plus four x plus four all over x squared minus 4 as x approaches 2?
The "value" of the function at x = 2 is (x+2)/(x-2) so the answer is plus or minus infinity depending on whether x approaches 2 from >2 or <2, respectively.
A derivative is to the rate of change as an integral is to?
A derivative is to the rate of change as
an integral is to area/volume.
The bill for a meal came to 45.80 plus 15 percent service chargewhat was the total bill?
The total bill would be 45.80 + (15% of 45.80)
= 45.80 + (45.80 x .15) = 45.80(1 + 0.15) = 45.80 x 1.15 = 52.67
What is the antiderivative of e to the power of one divided by x?
1/ln(x)*e^(1/x)
if you differentiate e^(1/x), you will get ln(x)*e^(1/x). times this by 1/ln(x) and you get you original equation. Peace
How do you calculate the value of this variable 5t plus 7 equals 27?
The idea is to get the t on it's own. Whatever you do to one side you do to the other.
So first you minus the 7 so you get 5t = 20
the you divide by 5 to leave t on it's own so t = 4
What is the solution of 2x plus 7 equals 5x plus 16?
2X + 7 = 5X + 16
subtract 2X from both sides
7 = 3X + 16 subtract 16 from both sides
-9 = 3X
divide both sides by 3
-3 = X
check
2(-3) + 7 = 5(-3) + 16
1 = 1
checks
If y equals arc cos 0 then y is equal to 0 1 90 or 180?
arccos(0) = 90 + 360.n (n is an element of the integers) and 90 and 360 are in degrees.
Therefore if the answer is in the subset 0<x<360 or something similar, Then the answer is 90.
