Answer:

Step-by-step explanation:
we want to differentiate the following by using limit:

derivative definition by limit given by

given that,
f(x)=√x
so,
f(x+∆x)=√(x+∆x)
thus substitute:

multiply both the numerator and denominator by the conjugate of the numerator:

simplify which yields:

simplify square:

collect like terms:

reduce fraction:

get rid of ∆x as we are approaching its to 0

simplify addition:

and we are done!
Answer:
y = (x +2)(x -1)(x -3)
Step-by-step explanation:
For each x-intercept (r) the corresponding factor is (x -r). For x-intercepts -2, 1, 3, the factors are ... (x+2), (x-1), (x-3). Then the equation is ...
y = (x +2)(x -1)(x -3)
Depends, what was given for x? For example, 4 times the number given for x minus 3 would be the coordinate and the negative number given for x minus 13 would be your coordinate, I hope this helped you solve it :) if not put the number given for x
We can use the ratios for special triangles (see the attachment below). We'll be using the 45-45-90 triangle. We notice that side BC is equal to

, and side AC (x using the special right triangle) is equal to 16. We can therefore say that side BC is equal to

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:)
Since the angle of the arc is 90°, we'll plug that in for theta. We're finding the length of the arc, so we'll use the circumference formula.