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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
It would have been far simpler and quicker to use your calculator but since you are unable or unwilling to make that effort, the answer is 2.1
The clue is in the question inasmuch that there is no remainder so using the remainder theorem the result must equal zero:-
f(x) = x3+x2+xy+8
f(x) becomes f(1) because the divisor is x-1
f(1) = 13+12+1y+8 = 0 because ther's no remainder
f(1) = 1y = -10
So y = -10
What are the 3 cases that might arise when graphing a linear and quadratic function on same grid?
They intercept at:
- no points
- one point only
- two points.
How do you factor the expression 3x to the power of 2 plus 48x plus 192?
3x^2+48x+192=3(x^2+16x+62).
You can factor the part in the parentheses using the quadratic formula: x= (-b[+-]Sqrt[b^2-4ac])/(2a).
How do you solve 7h squared-56h equals -112?
7h2-56h=-112
7h2-56h+112=0 7(h2-8h+16)=0
7(h-4)2=0
(h-4)2=0
h-4=0
h=4
7(16)-56(4)=-112
112-224=-112 so the answer is correct.
Is it true that if you are good at math and you enjoy math you can do engineering?
Possibly. You also have to be good at and enjoy engineering concepts which do involve math.
1 divided by 3x plus 6 equals 9?
1/3x + 6 = 9 Restating the problem
x + 18 = 27 I multiplied by 3
x = 9 I subtracted 18 from 27
What is X to the fourth power minus sixteen?
Taking the question literally, the answer would be: it is a polynomial expression in the variable x. When factored, x4 - 16 = (x2 - 4)(x2 + 4) = (x - 2)(x + 2)(x2 + 4)
I'm assuming the plane is in 3-space, but this easily generalizes...
P1 = (x1,y1,z1) P2 = (x2,y2,z2) P3 = (x3,y3,z3)
Let v1 = P2-P1 = (x2-x1,y2-y1,z2-z1), a vector from the origin and similarly let
v2 = P3-P2 = (x3-x2,y3-y2,z3-z2)
Then, for real constants s,t , the plane is spanned by D + s v1 + t v2 = 0, for some constant D
42-2x equals 5x then x equals?
the answer is 6. add 2x to each side, you get 42=7x. divide 42 by 7. not difficult, this is a basic question, go to extra help or something at school.
!x-y!
first calculate x-y, then calculate av.
1:100 (cm:mm). 1:100 (m:cm)
If x equals 2 what is 2x plus 5?
If x equals 2, then you first write out your equation 2x + 5 = y. You then fill out 2(2) + 5 = y. 2 x 2 = 4, so then 4 plus 5 equals 9.
How do you convert y plus 5 equals x2 plus 4x into general parabola form?
First, form a square for x. Because the x2 term has a coefficient of one, this can be done by taking the square of half of the coefficient of the x1 term and adding it to the "x" side of the equation. In this case, half of 4 is two, squared is four. So, add four to both sides of the equation.
y+5+4=x2+4x+4
Now, simplify the square.
y+9=(x+2)2
Now solving for y yields the following:
y=(x+2)2-9.
What are concepts or rules made by Gottfried Leibniz?
leibniz uses the same basic concepts and rules as newton, no one knows who came up with them first,, chain rule, quotient rule,, but the only difference is that newton uses y prime(y') and leibniz uses the dy/dx ... personally i like newtons better, but when it comes to the quotient and chain rule leibniz is easier.
