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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
All depends on what x is.
If x is 2, the answer is 32.
If x is 1 then the answer is 1.
Let me know what x is and i can help.
What is the order pair 2x plus 5y equals 2 and -3x-y equals -3?
2x + 5y = 2 ..... Eq.1
-3x - y = -3 ..... Eq.2 .... we can write it in another form y = 3 - 3x
Put the value of y in Eq.1 the result will be :
2x + 5(3 - 3x) = 2
2x + 15 - 15x = 2
2x - 15x + 15 = 2
-13x + 15 = 2
-13x = 2 - 15
-13x = -13
x = -13/-13 ......... X = 1
to find Y, put the value of X in Eq.2
y = 3 - 3x
y = 3 - 3(1)
y = 3 - 3 .......... Y = Zero
Is 2x 3x 3y is an example of addition of monomials?
2X + 3X + 3Y ???
= 5X + 3Y
===============yes, addition of these monomials yields that answer
How do you solve a system of equation with 3 equations and 3 variables?
If you know matrix algebra, the process is simply to find the inverse for the matrix of coefficients and apply that to the vector of answers.
If you don't:
You solve these in the same way as you would solve a pair of simultaneous linear equations in two unknowns - either by substitution or elimination.
For example, change the subject of one of the equations to express one of the variables in terms of the other two. Substitute this value into the other two equations. When simplified, you will have two linear equations in two variables.
Using the remainder theorem:-
The function of x becomes f(-2) because the divisor is x+2
Substitute -2 for x in the dividend: 2x3+x-7
When: f(-2) = 2(-2)3+(-2)-7 = -25
Then: -25 is the remainder
What is a solution to 2x2 plus 2x - 12 equals 0?
Neither of the solutions appears on the list you provided along with the question.
What is the distributive property of 7 x 2393?
7 * 2393 = 7*(2000 + 300 + 90 + 3)
= 7*2000 + 7*300 + 7*90 + 7*3
= 14000 + 2100 + 630 + 21
= 16751
Where does 2x plus y equals 0 and x plus y equals -4 intersect?
If: 2x+y = 0 and x+y = -4
Then: x = 4 and y = -8
Possible steps:
2x + y = 0
x + y = -4
Subtract the two equations:
x = 4
Plug x back in to one equation and solve for y:
4 + y = -4
y = -8
How do you prove that (1 plus cotx)2-2cotx 1(1-cos)(1 plus cos)?
Manipulate normally, noting:
- cot x = cos x / sin x
- cos² x + sin² x = 1 → sin²x = 1 - cos² x
- a² - b² = (a + b)(a - b)
- 1 = 1²
- ab = ba
- a/(bc) = a/b/c
(1 + cot x)² - 2 cot x = 1² + 2 cot x + cot² x - 2 cot x
= 1 + cot² x
= 1 + (cos x / sin x)²
= 1 + cos² x / sin² x
= 1 + cos² x / (1 - cos² x)
= ((1 - cos² x) + cos² x)/(1 - cos² x)
= 1/(1² - cos² x)
= 1/((1 + cos x)(1 - cos x))
= 1/(1 - cos x)/(1 + cos x)
QED.
Root X plus Y equals 7 and root Y plus X equals 11 find X and Y value?
Here x is equls to 9 and y is equal to 4
Under what conditions is it possible to have a constant speed yet a nonzero acceleration?
A body can have a constant speed yet a nonzero acceleration when it is in a circular motion because though it is having a constant speed but the direction in which it is moving keeps changing at each instance and since acceleration is a vector quantity,it becomes non-zero.
What is the x-intercept of y equals x2 plus 6x plus 8?
x-intercept is at y=0
y=x^2+6x+8
0=x^2+6x+8
0=(x+4)(x+2)
x=-4,-2
x-intercepts are at (4,0) and (-2,0)
