Calculus

8 - 4d = 12
-4d = 4
d = -1

actually it represents the concavity or convexity of a curve

5x = 3x+1000+0

5x-3x = 1000

2x = 1000

x = 500

12

4x + 4 + 14 = 54

4x + 18 = 54

4x = 54 - 18

4x = 36

x = 36/4

x = 9

Check:

4(9) + 4 + 14 = 54

36 + 18 = 54

54 = 54

x=-1.5

Over a trillion (1012).

* * * * *

As of 17 October 2011, the answer is 10 trillion = 1013.

∫ [f'(x)g(x) - g'(x)f(x)]/[f(x)g(x)] dx = ln(f(x)/g(x)) + C

C is the constant of integration.

207780482

By making w in terms of x

When written in this form the number in front of the x or its coefficient is the slope of the line. slope is -18/1 It goes down 18 and to the right 1.

0.401400541

Any line with the equation of the form 3y = -x + c where c is any constant.

yes

This is a point on the cartesian coordinate plane... (10,13)

1 and 3/10 + 3/10 = 1 and 6/10 or 1 and 3/5.

y=2-x

No, 2X is an exponential function. In order to be a polynomial, the terms of an expression must be in the form AxN, such as in 3x2 + 5x - 15.

Just got it-
x=c+d-b

Keep answering my own questions recently lol.

1

1

Two straight lines that intersect.

In the absence of any more data, I think we have to assume that the horizontal velocity (340 m/s) doesn't change. That is, nothing (air or window) slows down the bullet until it hits the wall. And we have to assume that gravity is the only force acting on the vertical velocity of the bullet.

Given those assumptions, the vertical drop of the bullet is (g * t^2) / 2 where t is the time in seconds, and g is the acceleration due to gravity, 9.8 m/sec^2.

The bullet hits the window at time t1 and the wall at time t2, and the drop between times t1 and t2 is 0.5m. Since the distance from the window to the wall is 6.9m, t2 = t1 + 6.9m / 340m/s = t1 + 0.0203 seconds.

So now we can solve (g * t1^2) / 2 + 0.5m = (g * t2^2) / 2 = y for t1 and that will give us values for x and y.

The rest is left as an exercise for the reader.