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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
Assumption 8x2 = eight times x squared
Assumption: x3 is x to the third
Assumption: y2 is y squared
Answer 40 y to the fourth x to the fifth = 40 y4 x5
Solve this equation -x plus 3 10?
There appears to be no equation in the question: only some disjoint expressions. Expressions cannot be solved.
What was Gottfried Wilhelm Leibniz's contribution to mathematics?
Leibniz is well known for his development of calculus independently of Isaac Newton. In the 20th century his Law of Continuity and Transcendental Law of Homogeneity were found to have mathematical implication and the binary number system was also refined thanks to him. Finally, he invented the Leibniz wheel which is used in the arithmometer.
Most of his contributions are to do with both science and mathematics, although he is most known for developing calculus.
How to solve equations with variable on each side?
There are different techniques, depending on the specific situation. In the simplest case, you transfer all the variables to one side. Here is an example:
4x = 2x + 16
Subtract "2x" on each side:
2x = 16
Now you have a single variable, on only one side.
1 litre = 1000 ml so 1.5 L = 1.5*1000 ml = 1500 ml. Simple!
What is the slope of the line defind by the equation 8x plus 2y equals 5?
Rewrite the equation in the form y = mx + c and then m is the slope.
Thus:
2y = -8x + 5
and then y = -4x + 5/2
So the slope is the coefficient of x, which is -4.
How do you graph y-x plus 4 equals 0?
First convert it to Y=
y-x+4=0
y=x-4
The graph has a slope of 1 and the y-intercept is (0,-4)
How do you solve this system algebracally 9x plus 2y equals 5 and y 2x plus 3 equals 0?
If this was correctly written: Alternatively, you might have meant: 9x+2y=5 9x+2y=5
y2x+3=0 2x+3y=0
9x+2y=5 27x+6y=15
2xy=-3 -4x-6x=0
9x+2y=5 23x=15
2x=-3/y
x=15/23
9x+2y=5
2x+3/y=0 2(15/23)+3y=0
2(9x+2y)=(5) 30/23=-3y
-9(2x+3/y)=0
y=10/23, x= 15/23
18x+4y=10
-18x+-27/y=0
18x+4y=10
4y/y-10/y=27y/y
-10=-31y
y=10/31
9x+2(10/31)=5
9x=135/31
x=.048, y=10/31
What sequence has no upper bound but does not tend to infinity?
If I understand your question correctly, such a sequence is an = x cos(πx). It has neither an upper nor lower bound. It's divergent, but its limit is neither infinity nor negative infinity.
How would you solve -2 plus x equals 7?
To solve -2+x=7, you need to isolate the variable x by adding two to both sides of the equation.
-2+x=7 -2+x+2=x 7+2=9 x=9
