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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
8.4 + Y = 13.4 - Y
Add 'Y' to each side of the equation"
8.4 + 2Y = 13.4
Subtract 8.4 from each side:
2Y = 5
Divide each side by 2:
Y = 2.5
Is x equals 4 for the problem 2x plus 4 equals 0?
Nope. In this case, x would be equal to -2. Here's how you can work it out:
Given:
2x + 4 = 0
Subtract four from both sides of the equation:
2x + 4 - 4 = 0 - 4
2x = -4
Now divide both sides by two:
2x / 2 = -4 / 2
x = -2
What is the solution of xsquared-4x-11 equals 8?
X2 - 4X - 11 = 8
subtracting 8 from each side
X2 - 4X - 19 = 0
I do not even try to factor these, but I use the quadratic formula.
X = - b (+/-) sqrt(b2 - 4ac)/2a
a = 1
b = - 4
c = - 19
X = - (- 4) (+/-) sqrt[(- 4)2 - 4(1)(- 19)]/2(1)
X = 4 (+/-) sqrt(16 + 76)/2
X = 4 (+/-) sqrt(92)/2
X = 4 (+/-) sqrt(22 * 23)/2
X = [4 (+/-) 2sqrt(23)]/2
-----------------------------------------exact answer which you can clean up by numerator/denominator eleimination and you can estimate the X intercepts also.
A hyperbola is a conic section. It is a curve in 2-dimensional space whose equation is of the form (x - a)*(y - b) = c where a, b and c are constants.
The curve is asymptotic at the points x = a and y = b.
See link for more.
it took a few mins to figure it out but its 36 quarters and 39 dimes
How do you reduce fractions with whole numbers?
first you divide the numerator by whatever number and the denominator by the same number and that is your answer.
Integration Read 1st answer for more info?
What is the [int] (x+1)*5^[(x+1)^2]? [int]= integration I got 5^[(x+1)^2]/ 2ln 5. Is this correct?
What effect does b have on the y equals sinbx for different value oh b?
In the case where y=sin(bx) b, for lack of a better term, squishes or stretches the graph along the x-axis. In other words the values for y will stay between -1 and 1, but that amount of 'cycles' of the sine wave in an interval will increase if b>1 and decrease if 0<b<1. For example one cycle for sin(x) will take 360 degrees or 2pi radians, but sin(2x) will do 2 complete cycles in the same space, and sin(0.5x) will only do half a cycle.
In the case where b is negative, the effects are exactly the same, the only thing that changes is that the value of y is multiplied by -1 i.e. sin(bx)=-sin(-bx). This is different from cosine where the sign of b makes no difference, cos(bx)=cos(-bx).
Perpendicular to 2x plus 3y equals 8?
Perpendicular to 2x - 3y = 8 through the point ( 2, 1 )
(Perpendicular means the slopes are negative inverses of each other)
3x+2y = 8
