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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
How many solutions does the equation X 2 plus 7X plus 12 have?
None because without an equal it is not an equation.
But if it was in the form of x2+7x+12 = 0 then it would have 2 solutions which are x = -3 and x = -4
Why degree of amplitude of simple pendulum should not exceed 5?
wind resistance cannot be ignored in considering a simple pendulum. The wind resistance will be proportional to a higher power of the velocity of the pendulum. A small arc of the pendulum will lessen this effect.
You could demonstrate this effect for yourself. A piece of paper attached to the pendulum will add to the wind resistance, and you can measure the period both with and without the paper.
Can you improve the question? It's hard to tell what you mean.
How do you solve for y in the equation y equals mx plus b?
If y = mx + b, then x = (y-b)/m (for m not equal to zero).
Is 1 over the square root of 9 irrational?
No. 1/sqrt(9) can be definitively written as 1/3, which is a ratio of constant numbers, and therefore it is a rational number. A number such as pi, which is irrational, cannot be expressed as a constant ratio.
What does x equal in -6x-66 equals 66?
-6x-66=66
First, add 66 to both sides to isolate the variable
-6x=132
Then, divide by -6
and x=-22
f(x) = -4(x + 1)2 + 3
y = -4(x2 + 2x + 1) + 3
y = -4x2 - 8x - 4 + 3
y = -4x2 - 8x - 1 (set y equal to 0 to find the x-intercepts)
0 = -4x2 - 8x - 1
x =[-(-8) ± √[(-8)2 - 4(-4)(-1)]]/2(-4)
x =[8 ± √(64 - 16)]/-8
x =(8 ± √48)/-8
x =(8 ± 4√3)/-8
x = -1 ± -(1/2)√3
x = -1 - (1/2)√3 or x = -1 + (1/2)√3
x ≈ -1 - 0.87 or x ≈ -1 + 0.87
x ≈ -1.87 or x ≈ -0.13
Thus, the two x-intercepts are about -1.87 and -0.13.
What does zero to the power of zero equal?
00 = 1.
This can be proved by different methods like using binomial expansion.
Visit the links mentioned below to know how actually it is proved.
What is -3x plus 2 equals -7x-22?
-3x + 2 = -7x - 22
add 7x to both sides
4x + 2 = -22
subtract 2 from both sides
4x = -24
divide by 4
x = -6
How do you solve this equation for x - y equals x - x2?
You cannot, in general, solve one equation with two unknown variables.
x - y = x - x2
Subtract x from both sides: - y = - x2
Change signs: y = x2
And that is as far as you can go.
What is the answer to y equals 4x plus 8?
y=4x+8.
Simply plug in any number you wish into x and then calculate the corresponding y. For instance, if I said x was 2, then y would be 4*2+8=16 and my answer would be the ordered pair, (2,16).
Y divided 2 plus x use x equals -1 and y equals 2?
Y / (2+x)
If x = -1 and y=2, then
Y / (2+x) = 2/(2-1) = 2/1 = 2
How do you solve x squared minus 4x minus 5 equals 0?
X2 - 4X - 5 = 0
easy factor, what two factors of - 5 add up to - 4
(X + 1)(X - 5)
X = - 1
-------------
X = 5
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How do solve this problem d equals 8.2 what is the circumference?
C= pi * D This is the formula for circumference.
How do you graph y equals negative x to the second power?
Select a set of values of x for which you wish to plot the graph - a subset of the domain. For each value x, calculate y = negative x to the second power = -x2.
Plot the set of ordered points (x, y) = (x, -x2) on a coordinate plane and jion them together with a smooth curve.
What is x if x squared plus x equals 15?
X2 + X = 15
X2 + X - 15 = 0
Looks like a job for the quadratic formula. ( the discriminant says two real roots )
X = - b (+/-) sqrt(b2- 4ac)/2a
a = 1
b = 1
c = - 15
X = - 1 (+/-) sqrt[12 - 4(1)(- 15)]/2(1)
X = - 1 (+/-) sqrt(1 + 60)/2
X =[ - 1 (+/-) sqrt(61)]/2
---------------------------------exact answer
So, X = ~ 3.41
X = ~ - 4.41
