Calculus

Let's take the example of finding the factorial of a number (of a positive integer). The factorial of N is N * (N-1) * (N-2) * (N-3) ... * 3 * 2 *1 It is the product of all integers between that number (including that number) and 1. For example, factorial 2 = 2*1 = 2 factorial 3 = 3*2*1 = 6 factorial 4 = 4*3*2*1= 24 Now you define a recursive function Fac (N) as Fac (N) = Fac (N-1) * N, with Fac(1) predefined as 1. Thus, Fac(N-1) = Fac(N-2) * (N-1) and Fac(N-2) = Fac(N-3) * (N-2) and thus recursion takes over until such time fac(1) needs to be evaluated. We know the value of Fac(1) which is set as 1. Thus we can evaluate Factorial(N) using recursion.

It is 1666666666666666666650000000000000.

x(y - 10) + 6y

William Hyde Wollaston discovered palladium in 1803. Wollaston, a physicist and chemist, was born in East Dereham, Norfolk, England on August 6, 1766.

x100

3x - 7 = 5x + 13
-2x = 20
x = -10

negative four.....

If: y = 2 -2x -x^2 and y = 3x^2 +10x +11

Then: 3x^2 +10X +11 = 2 -2x -x^2

Or: 4x^2 +12x +9 = 0

Factorizing the above: (2x+3)(2x+3) = 0 meaning x = -3/2

When x = -3/2 then by substitution y = 11/4

Therefore point of contact is at: (-3/2, 11/4)

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Unfortunately, what you might have considered a pair of simultaneous equation, is being displayed to us as one expression!

(7x-3y) + (2x+5y) = 9x+2y

It seems that it is the equation of an ellipse, x2/b2 + y2/a2 = 1, with center at the origin, a vertical major axis with length 2a, and a horizontal minor axis with length 2b.

x2/36 + y2/64 = 1

Since you are looking for the x-intercepts, they are (√b2, 0) = (√36, 0) = (6, 0) and (-√b2, 0) = (-√36, 0) = (-6, 0)

The purpose of finding a derivative is to find the instantaneous rate of change. In addition, taking the derivative is used in integration by parts.

None.

x = 3 and y = 4 so the lines intersect at (3, 4)

So, if we see the basic equation y=mx+b, we see that m=2, and b=1.

If you look closely, this is basic rotation and translation of the original graph.

First, I would translate the "mother graph" (y=mx) and then translate one up.

Then, we would rotate the graph to the right two units.

It might become easier if you split the problem in half. Since we know that d/dx[f(x)-g(x)] is the same as the derivative of d/dx[f(x)] - d/dx[g(x)], you can rewrite your problem as d/dx(e)- d/dx(2x). (it's common usage to write coefficients in from of variables, but that's just notation). The derivative of e is simply 0 (since e is a constant) and the derivative of 2x is 2.

so d/dx(e-2x)=0-2=-2

assuming the gap before x-2 is a +, then x+x-2=7x, so 2x-2=7x, so 5x=-2, so x=-.4

4x + 55 = 9x + 10

55 = 5x + 10

45 = 5x

x = 9

30 + 5x = 15 + 10x

30 = 15 + 5x

15 = 5x

x = 3

∫ -cos(x) dx = -sin(x) + C

You can try to factor the LHS to get:

(x - 3) (x - 1) = 0

we then know the two solutions are:

x - 3 = 0

or

x - 1 = 0

so, x = 3, 1.

There is no definite answer for what axy will equal to if we are not given x's value. If we were given the value of axy we could solve for x if only two variables are known, or if x were know we could solve for axy. We do know that axy will equal to 20.8728 multiplied by x's value.

(2.34)(8.92)x = axy

20.8728x = axy

The highest common multiple of 21 and 84 is infinity.

The least common multiple, on the other hand, is 84, while the greatest common divisor is 21.