Find the point P on the graph of the function yY = /x closest to the point (11, 0) The x coordinate of P is: -11

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A: Let the point is (x,y)= (x,sqrt(x))Distance of (x,sqrt(x)) from (0,0) is D

Q: Find the maximu rate of change of the function f(x, y) = x2 + xy+y at the point (-8, -7). V1013 3114…

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A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

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A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Pls help, ASAP

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Q: Q4) f(x, y) = x"/s –x/ay² Does the function is harmonic ?

A: If a function satisfied Laplace equation then the function is called harmonic function

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Q: Q1) Find the local extreme values of the function f(x, y) = 3y2 - 2y - 3 x + 6xy

A: We use second order partial derivative to find maximum, minimum and saddle points

Q: Find the point P on the graph of the function y Vĩ closest to the point (11, 0) The x coordinate of…

A: Solved below

Q: 02.Find all the maxima value of f(x, y) = 49 – x2 - y?, on the line x +3y = 10 %3D

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Q: find all possible functions with the givenderivative. y' = 2x

A: According to the question, we have to find all possible functions with the given derivative y'=2x.…

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Q: Consider the function y = (-3x - 5)2. Using the values x = -8 and Ax = -0.5, calculate A y - dy.…

A: Given:  y=-3x-52x=-8△x=-0.5 We have to find △y-dy.

Q: find the specific function values. ƒ(x, y, z) = sqrt(49 - x2 - y2 - z2) a. ƒ(0, 0, 0) b. ƒ(-1, 2, 3)

A: a) Plug x=0, y=0 and z=0 in the given function and simplify. Answer(a): 7

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Q: Find the absolute extrema of the function y = √x - 9 on the interval [9, 45].

A: To find the absolute extrema of the function y=x-9 on the interval 9, 45.

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Q: Find the average rate of change of f(x) = 9x² – 3 on the interval [2, t]. Your answer will be an…

A: Use formula of avg rate of change

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Q: Consider the function f (x, y) = 7x² + 6xy + 5y² + 7x Draw the graph of f(x,y). Your graph should…

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Q: Find an equation for the tangent line to the graph of the function F(x) = V3x2 + 9 at the point (3,…

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Q: The height of an arch above the ground is given by the function y=10sinx, for 0 &lt;= x&lt;= pi .…

A: The given interval is [0,π] So, a=0, b= π

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Q: Find the x value of the point on the curve y = 3x + 2 closest to the point (1, 0).

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Q: Q5: Does any tangent to the curve y = vx cross the x-axis at x=-1 If so, find an equation for the…

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Q: Q1/ Find the local extreme value of the function F(x.y)=4xy – x* – y*

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Q: Find the point P on the graph of the function y= sqrt(x) closest to the point (6,0)The x coordinate…

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Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Given Data: The revenue function is: R(x)=11000-x3+42x2+700x Interval: 0≤x≤20 The diminishing return…

Q: Find the inflection point(s) of the function  f(x) = 5e−(x^(2))

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