Calculus

An intuitive answer (NOTE: this is far from precise!)

A function is continuous if you can trace its graph without lifting your pencil from the page. If, additionally, it is smooth everywhere without any jagged edges or abrupt corners, then it is differentiable. It is not possible for a function to be differentiable but not continuous. On the other hand, plenty of functions are continuous without being differentiable.

brass

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5X^2 + 9X - 2 = 0

discriminant looks good for two real roots by inspection

X = - b (+/-) sqrt(b^2-4ac)/2a

a = 5

b = 9

c = - 2

X = - 9 (+/-) sqrt[9^2 - 4(5)(-2)]/2(5)

X = - 9 (+/-) sqrt(41)/10

X = [- 9 (+/-) sqrt(41)]/10

X = ~ - 0.2597

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X = ~ - 1.540

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Ugly, but true

No.

If you want a step by step process:

6y+2=10

-2 -2 Subtract two from both sides of the equal sign.

6y=8 You may multiply by 1/6 or just divide by 6, but in higher level you are are better off multiplying by 1/6.

You end up with 4/3 or 1.3333...

There is no general simplifications for sqrt(a + b)

Well, 0 is a constant, so the derivative of 0(, or any other constant) is 0. This information is coming from an 11 year old kid.

x + 10

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The pathway carries epicritic function from the midthoracic trunk through the lower extremities (~ T7 and below) up to the medulla to synapse on the gracile nucleus.

8x+5=4x+13 4x=8

x=2

Therefore, your answer is 2.

y=3x is a direct variation in that y varies directly with x by a factor of 3. Any linear equation (a polynomial of degree 1, which is a polynomial equation with a highest exponent of 1), is a direct variation of y to x by some constant, and this constant is simply the coefficient of the "x" term. Other examples:

y=(1/2)x is a direct variation, and the constant of variation is 1/2

y=-9x is a direct variation, and the constant of variation is -9

-1

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X=5, x+6, 5+6=11

(0,0)

Not necessarily.

Once you understand the concepts, you will find it easier to both. Hope you find the recommended web sites useful. Good luck!

xy = is a constant (k) so k = -360. When y = - 36, x = 10

17 = 13 - 3r

Subtract 13 from bith sides: 4 = -3r

Divide both sides by -3 : -4/3 = r or r = -1.3...

y intercept: x = 0

3y = 0

y = 0

x intercept: y=0

-4x = 0

x = 0

(0,0)

Yes. the number is 0.2 (or the equivalent 1/5).