For the derivative tests method, assume that the sphere is centered at the origin, and consider the
circular projection of the sphere onto the xy-plane. An inscribed rectangular box is uniquely determined
1
by the xy-coordinate of its corner in the first octant, so we can compute the z coordinate of this corner
by
x2+y2+z2=r2 =⇒z= r2−(x2+y2).
Then the volume of a box with this coordinate for the corner is given by
V = (2x)(2y)(2z) = 8xy r2 − (x2 + y2),
and we need only maximize this on the domain x2 + y2 ≤ r2. Notice that the volume is zero on the
boundary of this domain, so we need only consider critical points contained inside the domain in order
to carry this optimization out.
For the method of Lagrange multipliers, we optimize V(x,y,z) = 8xyz subject to the constraint
x2 + y2 + z2 = r2<span>. </span>
Answer:
Step-by-step explanation:
- Total distance = 10 miles
- Total time = 2 hours
- Distance walked = x
- Speed walked = 2 mph
- Distance cycled = 10 - x
- Speed cycled = 15 mph
<u>Using the given data we can have the equation below to the time:</u>
- x/2 + (10 - x)/15 = 2
- 30x/2 + 30(10 - x)/15 = 30(2)
- 15x + 20 - 2x = 60
- 13x = 60 - 20
- 13x = 40
- x = 40/13
- x = 3.08 miles <em>rounded to 2 decimal places</em>
The given polynomial has a degree of 4, the leading coefficient is 3, and the constant is 4.4.
<h3>What is a polynomial?</h3>
A polynomial is an algebraic expression with terms that are the combination of variables, coefficients, and constants.
- The highest power of the variable is said to be the degree of the polynomial.
- The coefficient of the highest power variable is said to be the leading coefficient.
<h3>Calculation:</h3>
The given polynomial is
g(x) = 13.2x³ + 3x⁴ - x - 4.4
The highest power of the variable x is 4. So, the degree of the variable is 4.
Then, the leading coefficient is 3.
The constant on the given polynomial is 4.4.
Learn more about polynomials here:
brainly.com/question/1600696
#SPJ9
Disclaimer: The given question on the portal was incomplete. Here is the complete question.
Question: For the given polynomial, identify the degree, leading coefficient, and the constant value.
g(x) = 13.2x³ + 3x⁴ - x - 4.4
The perpetual inventory system is an inventory management method that records when stock is sold or received in real-time.
<h3>
How to depict thejournal?</h3>
a. Debit Accounts Receivable 12000
Credit Sales 12000
Debit Cost of Merchandise Sold 6500
Credit Merchandise Inventory 6500
b. Debit Cash 9500
Credit Sales 9500
Debit Cost of Merchandise Sold 5300
Credit Merchandise Inventory 5300
c. Debit Cash 2900
Credit Sales 2900
Debit Cost of Merchandise Sold 1700
Credit Merchandise Inventory 1700
d. Debit Credit Card Expense 385
Credit Cash 385
e. Debit Credit Card Expense 75
Credit Cash 75
Learn more about journal on:
brainly.com/question/14279491
#SPJ1
Answer:
Step-by-step explanation:
Tear this apart piece by piece
15 - 8 = 7
7 * 3 = 21
11 + 21 = 32
Now so far this much is correct. The problem is the next sign. Is it add or is it divide. The only way to resolve it is to do it both ways.
Add 4
32 + 4 = 36
Divide 4
32 / 4 = 8 1/4 = 8
