Please answer both questions they are urgently needed A Moving to another question will save this response.Question 1Compute the gradient of the function at the given point.f(x, y) = 5x2 + 10y, (4,-3)Vf = 80i - 30jVf = 40i + 10jVf = 160i - 30jVf = 40i - 30jMoving to another question will save this response. A Moving to another question will save this response.Question 2Find all the local maxima, local minima, and saddle points of the function.f(x, y) = x² - 6x + y2 - 16y - 6O f(-3, 8) = -43, saddle pointO f(3, 8) = -79, local minimumO f(3, -8) = 177, saddle pointf(-3, -8) = 213, local maximumA Moving to another question will save this response.MacBook A

As per the instruction, we will answer the first one. Given: Now, ∇f=fxi+fyj =10xi+10j…

Answered: Compute the gradient of the function at…

Compute the gradient of the function at the given point. f(x, y) = 5x2 + 10y, (4,-3) Vf = 80i - 30j %3D O Vf = 40i + 10j Vf = 160i - 30j %3D Vf = 40i - 30j

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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Question

Please answer both questions they are urgently needed

A Moving to another question will save this response.
Question 2
Find all the local maxima, local minima, and saddle points of the function.
f(x, y) = x² - 6x + y2 - 16y - 6
O f(-3, 8) = -43, saddle point
O f(3, 8) = -79, local minimum
O f(3, -8) = 177, saddle point
f(-3, -8) = 213, local maximum
A Moving to another question will save this response.
MacBook A

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