Calculus

n is 2.

To solve, do the division:

. . . . . . . . .x2 +. 3x + (6-2n)

. . . --------------------------

x-2 | x3 + x2 - 2nx + n2

. . . . .x3 -2x2

. . . . .--------

. . . . . . . .3x2 - 2nx

. . . . . . . .3x2 - . 6x

. . . . . . . .----------

. . . . . . . . . (6-2n)x + n2

. . . . . . . . . (6-2n)x - 2(6-2n)

. . . . . . . . . ----------------------

. . . . . . . . . . . . . . . .n2 + 2(6-2n)

But this remainder is known to be 8, so:

n2 + 2(6-2n) = 8

⇒ n2 - 4n + 4 = 0

⇒ (n - 2)2 = 0

⇒ n = 2

77 x 6 = 462

I was born with a 6th sense,( believe me it isn't a great gift sometimes) , but it may be that you are picking up on a outer plain, again it may be your gardian angel, have you been going through some hard times?, if so that may be it.

no

1 oz = 6 tsp

1 tsp = 0.16 oz

(1/2)x = 2-x = exp (ln 2-x) = exp( -x ln 2). Since d/dx exp(x) = exp(x), we can use the chain rule to find that:

d/dx (1/2)x = -(ln 2) exp(-x ln 2).

6x * 9x = 6 * 9 * x * x = (6*9)*(x*x) = 54*x2

y = 5

Add the equations: 8x - y = 8 ie 8x - 8 = y so 5x - 5(8x - 8) = -30

which is 5x - 40x + 40 = -30 ie -35x = -70 making x = 2 and y = 8.

Destructive Interference

x= 23

Divide the volume in cm3 by 1 000 000 so the answer is 0.225 cubic metres.

Suppose x3-4x = 0. To solve, factor:

x3-4x = x(x2-4) = x(x+2)(x-2) = 0 Now, a product equals 0 if and only one or more of the factors equals 0, so set each factor to 0 and solve.

The roots are 0,-2 and +2.

y = 2x^2 + x -1

If you know calculus you can find the minimum or maximum when the slope of the equation is zero. This is the first derivative of y with respect to x

dy/dx = 4x +1 = 0

4x = -1

x = -1/4

y = 2 (-1/4)^2 -1/4 -1 = 1/8-1/4-1 = 1/8 - 2/8 - 8/8 = -9/8 minimum = -1.125

Yes.

8

The answer is 35. 2x2-6x+15

2(-2)2-6(-2)+15

8+12+15

35.

And this is not calculus...

You can use the rule for multiplying derivatives.

Y = 2bx

divide both sides by 2b

Y/2b = x

Extend the line until it hits the x axis and that is the x intercept. If the line is not parallel to the x axis, then extending it one way will reach the x axis, the other way will not. If the line is parallel to the x axis it will never meet it (or, if you like, it will meet it at plus or minus infinity, which is another way of saying never).

Just like any other job, how soon you finish depends on how fast you work.

If you count 1 every second, never make a mistake and never take a break,

you finish this particular job in 11days 13hours 46minutes 40seconds.

yes

It is an equation and the value of x is 8

x = 90

y = 89

It is the infinite set of points of the form [x, (4x+9)/7] for all value of x in its domain.