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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
Multiplication is done first: -6 x -8 = 48. Addition of a negative is the same as subtraction of a positive: 48 + -16 = 48 - 16 = 32.
Can you show me how to Solve -12 times 4 plus 5 plus y?
(-12x4)+5+Y = -48+5+Y = -43+Y
Rewritten as Y = 43 (Hint: - 43 = -Y, then multiply both sides by -1, which will not change any value)
16 - 8y = 4x
It is a straight line equation. Graphically, the line two intercept points are:
(0, 2) and (4,0)
Find general solution of x to power of 3 dp divided by dx equals a minus x?
I can't integrate a-x /x-3 ?
What does x equal in the equation 8 multiply x minus 4 equals 3 multiply x plus 1?
It depends.
If you meant 8x-4=3x+1 then:
5x=5
x=1
But if you meant 8(x-4)=3(x+1) then:
8x-32=3x+3
5x=35
x=7
Solve using the rule of 72 rate equals 4 percent years equals 18 fv equals 8000 solve for pv?
Solve, using the Rule of 72 rate = 4%, years = 18, fv=$8,000. Solve for PV.
Formula:
PV = $1/(1+r) t
PV = $8000/(1+.04) 18
PV = $8000/2.0258
3949.03 = $8000/2.20258
How do you factor 20x cubed minus 70x squared plus 60x?
20x3 - 70x2 + 60x = 10x(2x2 - 7x + 6)
= 10x(2x - 3)(x - 2).
What is the y-value of x equals -3?
y is all real numbers at x=-3. On a graph it would look like a vertical line parallel to the y axis that goes from negative infinity to infinity passing through the x axis at -3.
What is the solution set of x plus 1 divided by 10 equals -3 divided by 5?
(X + 1)/10 = -3/5
take the extreme mean; cross multiply
-30 = 5(X + 1)
distribute on right
-30 = 5X + 5
subtract 5 from each side
-35 = 5X
divide each side by 5
-7 = X
check
(-7 + 1)/10 = -3/5
-6/10 = -3/5 same thing, checks
What is the answer to 2x2 plus 10x plus 12x plus 3?
2.2+10.x+12.x+3
=4+10.x+12.x+3
=22x+7
This is assuming you just needed to simplify. The "." are just multiplication signs.
The simultaneous equations are: 3x -y = 5 and 2x^2 +y^2 = 129
If: 3x^2 -y = 5 then y^2 = 9x^2 -30x +25
If: 2x^2 +y^2 = 129 then y^2 = 129 -2x^2
So: 9x^2 -30x +25 = 129 -2x^2
Transposing terms: 11x^2 -30x -104 = 0
Factorizing the above: (11x -52)(x +2) = 0 meaning x = 52/11 or x = -2
By substituting the above values into the original equations the points of contact occur at (52/11, 101/11) and ( (-2, -11)
