Chapter 1.

1.1 Problem Statement

{2,4,6,8}
{2,3,4,5}
$a*$a
round(1/($aa-1),4)
round(sqrt($cc),4)
round($a*sqrt($c*$c+1)-$c,3)
round($a*sqrt($d*$d+1)-$d,3)
round(max($yc,$yd,$a),3)
round(min($yc,$yd,$a),3)

Find the maximum and minimum values fo the function on the interval [0,$d].

1.2 Step 1

Question Sequence

Question 1.1

A number c in the domain of f is called a critical point if f'(c) =1Wh3cvJ2xF4= or where f'(c)risoekzpYAAgRXECVAcsXWXnXFT9zJ4gDoyL7g==.

Correct.
Incorrect.

Question 1.2

The extreme values (absolute maximum and absolute minimum) of a continuous function on a closed interval occur either at a veUJQTOZK4x9ROLR9ZowuS+REowc07GT0ub4zJSXu3Q9LVxQoTWeVA== of the function or at the PYUF4jajY92ZPh6isbc26od3QKQqgM0X of the closed interval.

Correct.
Incorrect.

1.3 Step 2

Thus, we need to find the critical points of and then compare the function values at these critical points with the function values at the endpoints of [0,$d] to find the extreme values.

Question Sequence

Question 1.3

Find y'.

Thus, y' is defined for 5TA887hjM77g+l8ejszeCZF/2+FpmJsd8JRVEpYJEp9YiPOTr5QqPJO1GFHO5EqrX/a2Qvc5c5ptJ8UxgRLiEGuWmCZv6ffEQG7/RCD81yZQnDRq.

Correct.
Incorrect.

1.4 Step 3

Solve y' = 0 for [0.$d] to find any critical points, c.

Question Sequence

Question 1.4

y' = 0

x2 = YmyY9qzHq7w=

(Round your answer to four decimal places.)

Correct.
Incorrect.

Question 1.5

Thus, the critical point on [0,$d] that satisifes this equation is

c = SFgqQUkJGdg=.

(Round your answer to four decimal places.)

Correct.
Incorrect.

1.5 Step 4

Compare the values of at the critical point c = $c and the endpoints of [0,$d]. The greatest value is the absolute maximum and the smallest value is the absolute minimum of y on [0,$d]. (Round your answers to three decimal places.)

Question Sequence

Question 1.6

3hsMUOn9+Xc=.

nc1ItEz0kR4=.

YyRd/2n7nOE=.

Correct.
Incorrect.

1.6 Step 5

Question Sequence

Question 1.7

The minimum value of the function is UtQltuC/58A=.

The maximum value of the function is nCwHWls+sEs=.

(Round your answers to three decimal places.)

Correct.
Incorrect.