Want it exact? Here it is:499.243083(got it from my calculator), if rounded, then here it is:500
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...
14+2(14)=42. this is the answer
Answer: m= 2
Step-by-step explanation:
A graph is translated according to the following rule. Describe the translation.
<span>(x, y) → (x, y +3) </span>
<span>B. The graph is translated 3 units up. ..............ANS </span>
<span>----------------------- </span>
<span>Translate the graph according to the rule (x, y) → (x, y + 4) </span>
<span>Option D.........................ANS </span>
<span>------------------------------ </span>
<span>f(x) is shown in black and g(x) is shown in red. </span>
<span>Which is a coordinate rule for the translation of f(x) to g(x)? </span>
<span>A. (x, y) → (x – 5, y) ........................ANS</span>