This is a case where we can apply l'Hopital's rule, separately calculating the derivatives of the numerator and denominator, then take the limit using those:
Limx→2 [(6 - x)1/2 - 2] / [(3 - x)1/2 - 1]
= Limx→2 [1/2(6 - x)-1/2 (-1)] / [1/2(3 - x)-1/2 (-1)]
= Limx→2 (3 - x)1/2 / (6 - x)1/2
= 1/2
How do you solve by showing work 3x plus 70-7x18?
3X+70-7*18=0
3X+70-126=0
3X-56=0
3X=56
x=56/3 or 18.6667
How do you solve 3j - 13 equals 11 plus 2j?
3j-13=11+2j
3j-13-2j = 11+2j-2
j-13 = 11
j-13 +13 = 11 + 13 = 24
so j = 24
What is the condition to make a curve smooth?
The curve must have a derivative at every point (except its end point).
or x + y = 6
That cannot be simplified further and to solve for either variable will require another independent eqaution in x and y
9x plus 8 equals 7x plus 22 x equals?
9x+8=7x+22
To solve for x, combine like terms. (Subtract 7x from both sides, and subtract 8 from both sides. This will give you:
2x=14
Divide both sides by 2. The answer is x=7.
What is the equation for y equals -x equals 1?
Either the answer is
the point in the second quadrant, at a distance of one unit from each of the coordinate axes, or
the question is incomplete.
How does sec-squared x equals 1 plus tan-squared x?
Let s = sin x; c = cos x.
By definition,
sec x = 1/cos x = 1/c; and
tan x = (sin x) / (cos x) = s/c.
We know, also, that s2 + c2 = 1.
Then, dividing through by c2, we have,
(s2/c2) + 1 = (1/c2), or
(s/c)2 + 1 = (1/c)2; in other words, we have,
tan2 x + 1 = sec2 x.
What is f x x-5 x plus 3 standard form?
The answer to f x x-5 x plus 3 standard form is -6. This is a math problem.