Calculus

d/dx(1+tanx)=0+sec2x=sec2x

12x = 4(x+5)

3x = x+5 divide by 4

2x = 5 subtract x

x = 2.5 divide by 2

The easiest way to do this would be to put the equation for y in terms of x.

We have x+y = 6

subtracting x from both sides gives y = 6 - x

This is of the form y = ax + b where b is 6 and a is minus 1.

So the graph will be a line, with gradient minus 1, that crosses the y axis at y=6

an unknown. eg x+1=3 means something plus 1=3. the unknown, or 'something' must be 2. therefore x=2

4x+35-2x+25 = 6

2x+60 = 6

2x = 6-60

2x = -54

x = -27

6c-18=4c

Why can rearrange this and simplify to 2c=18, which means that c = 9

Atropos is the name of one of the Greek fates, along with Clotho and Lachesis. It is possible that atrophy is derivative of atropos, but not the other way around.

(3+2x)*(3-2x) = 9 - 4x2

[remember that (a+b)*(a-b)=a2 - b2]

y^2=-x^2-8x+6

Yes it is. the two numbers will always have the same proportion to each other.

A way of defining the sum from 1 to the number, similar to the factorial function but with sums, represented with the '?' symbol:

4? = 4 + 3 + 2 + 1 = 10

An easy simplification, known from Gauss, is to compute it with n(n+1)/2.

0.3

Say x is 5

so 5 + 5 = 10

where as 5 times 5 = 25

The difference is "x + x" is a addition and "xx" (x times x) is a multiplication.

-5

You should probably say what x represents if you want someone to answer this...

X=12 because 6=8 so 12+6=20

It is a quadratic equation in X, with two real roots.

42

x3*x2 = x5

Same base so just add the powers

Complementary

When you divide zero by anything or multiple anything by zero, the answer will always be zero.

It is equal to 1/4 of a cup.

0

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