Answer:
d) 80
Step-by-step explanation:
(35% = 0.35)
equation:
⇒ 
divide 0.35 on both sides
⇒ 
solve:
⇒ x = 80
Answer:
Option 1.1
Step-by-step explanation:
The linearization of a curve implies the use of calculus to find the local value for the derivative and approximating the function by the use of the formula

The function is given in such way that it's much easier to find the derivative by implicit differentiation than isolating any of the variables

Differentiating with respect to x, we have
Computing y' in the given point (3,1) we have
4(3)(1)+2(9)y'+y'=2


The function will be approximated with the expression

To find the approximate value for x=2.8
The correct value is the option 1.1
Answer:
A. 14x14x28
B. The maximum volume is 5488 cuibic inches
Step-by-step explanation:
The problem states that the box has square ends, so you can express volume with:

Using the restriction stated in the problem to get another equation you can substitute in the one above:

Substituting <em>y</em> whit this equation gives:

Now find the limit of <em>x</em>:

Find the length:

You can now calculate the maximum volume:
