T(x, y) = 22ry - 167³ - 11y² on the closed square region 0 ≤ x ≤ 1,0 ≤ y ≤ 1. Absolute maximum value is none , attained at (x, y) = none Absolute minimum value is none attained at (x, y) none ⠀ ⠀
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
6b
![**Finding Absolute Extrema of a Given Function**
Find all absolute extrema of each function. Enter each point as an ordered pair, e.g., "(1,5)". If an extreme value is attained twice, enter a comma-separated list of ordered pairs. If there are no absolute extrema of a given type, enter "none".
**Function to Analyze:**
\[ T(x, y) = 22xy - 16x^3 - 11y^2 \]
On the closed square region:
\[ 0 \leq x \leq 1, \quad 0 \leq y \leq 1. \]
- **Absolute Maximum Value:**
- Value: [ Input Box ]
- Attained at \( (x, y) \):
[ Input Box ] (e.g., (0.5, 0.5), or "none" if no maximum is found)
- **Absolute Minimum Value:**
- Value: [ Input Box ]
- Attained at \( (x, y) \):
[ Input Box ] (e.g., (0.5, 0.5), or "none" if no minimum is found)
Enter your calculations in the provided input boxes to identify the absolute extrema points of the function \( T(x, y) \). If there are no absolute maximum or minimum values, indicate this by writing "none" in the respective fields.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4663b99b-8fe1-424a-98b9-10bd14779be6%2Ff374c12b-96ff-45d4-9ed3-5022aab45145%2Fjng5l7n_processed.png&w=3840&q=75)
Step by step
Solved in 2 steps
