Consider the function

, which has derivative

.
The linear approximation of

for some value

within a neighborhood of

is given by

Let

. Then

can be estimated to be

![\sqrt[3]{63.97}\approx4-\dfrac{0.03}{48}=3.999375](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B63.97%7D%5Capprox4-%5Cdfrac%7B0.03%7D%7B48%7D%3D3.999375)
Since

for

, it follows that

must be strictly increasing over that part of its domain, which means the linear approximation lies strictly above the function

. This means the estimated value is an overestimation.
Indeed, the actual value is closer to the number 3.999374902...
Answer: x^2+3
Step-by-step explanation:
If regular f(x) is equal to x^2, then if you just add 3 to the original, you add 3 to the same x^2. The three becomes a shift upwards on the graph. You put your vertex point up 3 on the vertical line then make your parabola
Answer: 6
Step-by-step explanation:
Answer:
There are no real roots for this equation.
Step-by-step explanation:
The only solution is irrational: x-√(4-8x)=0
I have provided a graph to help you with this problem.
Hope this helps! :)