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- How are the absolute maximum and minimum similar to and different from the local extrema?Identify any extrema of the function by recognizing its given form or its form after completing the square. Verify your results by using the partial derivatives to locate any critical points and test for relative extrema (if an answer does not exist, Enter DNE)Identify any extrema of the function by recognizing its given form or its form after completing the square. verify your results by using the partial derivatives to locate any critical points and test for relative extrema (if the answer does not exist, put DNE)
- Identify any extrema of the function by recognizing its given form or its form after completing the square. Verify your results by using the partial derivatives to locate any critical points and test for relative extrema.Recognize any function extrema by identifying the function's provided form or its form after completing the square. Use partial derivatives to discover any critical points and test for relative extrema to verify your results.Find the critical point of the function. Then use the second derivative test to classify the nature of this point, if possible. (If an answer does not exist, enter DNE.) f(x, y) = 4x2 + y² - 8x + 6y + 8 critical point (х, у) - 1, – 3 classification relative minimum v Finally, determine the relative extrema of the function. (If an answer does not exist, enter DNE.) relative minimum value relative maximum value dne
- Identify any critical points, and use the second derivative test to determine whether each critical point is a maximum, minimum, saddle point, or none of these. (Order your answers from smallest to largest x, then from smallest to largest y.) f(x, y) = x³ + y³ - 300x - 108y - 5 (х, у, 2) %3D -10, – 6,2005 maximum (x, y, z) = -10,6,1995 saddle point (x, y, z) = 10, – 6, – 1995 saddle point (x, y, z) = 10,6, – 2005 minimumThe heat index I is a measure of how hot it feels when the relative humidity is H (as a percentage) and the actual air temperature is T (in degrees Fahrenheit). An approximate formula for the heat index that is valid for (T, H) near (90, 40) is I(T, H) = 45.33 +0.6845T +5.758H-0.00365T² -0.1565 HT +0.001 HT² Calculate I at (T, H) = (96, 51). (Use decimal notation. Give your answer to three decimal places.) I(96,51) = Determine the partial derivative. (Use symbolic notation and fractions where needed.) di ƏTFind all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an answer does not exist, enter DNE.) f(x) = √25 - x² relative maximum relative minimum (x, y) = (x, y) = (x, y) = 0,5 -5,0 || X (smaller x-value) (larger x-value)
- Locate all relative maxima, relative minima and saddle points, if any. f(x, y) = y^2 + xy + 3y + 2x + 3Apply a second derivative to identify a critical points as a local maximum, local minimum or saddle point for a function. Let f(x, y) = 2x? 5x + y + 5y? + 8xy. List the critical point: The critical point is a Select an answer Select an answer maximum saddle point minimum