f(x) = sin x, (0,47) Find the local maximum and minumum

Q: Find ∇f(x, y, z) for the function f(x, y, z) = x2 + y2 − 4z and find the direction of maximum…

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Q: Find the absolute maximum and minimum of the function f(x,y) = 4y² + 18x – 18 over the closed region…

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Q: Find the maximum and minimum values of the function f(x, y) ey subject to a + y° = 16 Maximum value:…

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Q: The function f (x, y) = 2x + 3y + 9 - x2 - xy - y2 has a maximum at some point (x, y). Find the…

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Q: Find all points (x, y) where f (x, y) has a possible relative maximum or minimum. Then, use the…

A: We have, To find the critical point, we have to take the partial derivative of the function, and…

Q: Find the linearization at x = a. IT f(x) = sin³ (x), a = 4

A: Given,            The linearization at x=a.             fx=sin3x, a=π4We know that,             The…

Q: The function f(x, y) = 2x² + y² – 3xy – 2x + y – 2 has one critical point. Find it, and determine if…

A: take the partial derivative with respect to x

Q: Given f(x, y) = 2x3 – 3y? – 6xy %3D (i) Find critical points of f. (ii) Use the second derivative…

A: Given that,f(x, y)=2x3-3y2-6xy-12x

Q: Find the critical point of the function f(x, y) = 4e² – 3xe". Use the Second Derivative Test to…

A: Function in the given question is: f(x,y) = 4ex - 3xey To find critical points, we set the following…

Q: A:- Find the orthogonal trajectories for functions In -1) = - COS X +a y

A: The given family of curves is: lny-1y=-cos x+a ,            where a is an arbitrary constant.

Q: Dicuss the contiunity of the function f (x,y) = ln  (x+y-1)

A: We know: 1) Polynomials are continuous everywhere. That is, at every point in real number 2) Sum of…

Q: Find the absolute maximum and minimum of f(x, y) = 3z +y within the domain z² +y? < 4.

A: Use lagrange multiplier.

Q: Find the critical point of the function f(x,y)=6x−2y^2−ln(|x+y|). c= Use the Second Derivative Test…

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Q: Let f(x) = S* A et dt. At what value of x, f(x) has a minimum? Select one: 4 -2 no value of x

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Q: Find the critical point of the function f(x, y) = 2e* – 4xe". c = Use the Second Derivative Test to…

A: To find- critical point and do the second derivative test.

Q: Find the absolute extrema of the function on the closed interval. f(x) = 7x² + 2, [-1, 2] -(0,2…

A: The answer is given below:

Q: Determine the x-coordinate of the local maximum of the curve y = (2x - 1)2 (3x+4) in the interval…

A: Given: y=2x-123x+4

Q: 18. Find the absolute maximum and absolute minimum values for the function f (x,y) = e-**-y* (x² +…

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Q: Find the local minimum value of f(x,y) = 3x² + 2y2+ Ox + 2y + -5. Give your answer correct to two…

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Q: . Use the second-derivative test for local extrema (: extrema for the function. Identify whether the…

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Q: Find the absolute maximum and minimum values for f (x, y) = 5 sin(x) + 9cos(y) on the rectangle R…

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Q: Define the function f: R? → R by f (x, y) = 2xy² – y² – 2x². a) Find the critical points of f. b)…

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Q: Find the linearization L(x) of the function at a. f(x) = sin(x), a 6

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Q: The function f(x, y) = 1 + x² + y² at the point (0,0) is local max صواب İhi

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Q: Find the maximum and minimum values of f(x, y) = (x- y) e- + y)

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Q: Sind the absolute maximum and the absolute minimum of f(x,y) = 2x – 2xy+y whose domain is the region…

A: Given: fx, y = 2x - 2xy + y2       Region of domain is 0 ≤x ≤4 and 0 ≤y ≤2   To find: Absolute…

Q: Determine the values of constants a, b, c, and d so that f(x) = ax + bx + cx +d has a local maximum…

A: We have to determine the value of a, b, c and d

Q: Find the critical points of f(x, y) = x³ – 6xy + y³. Use the second derivative test to classify each…

A: For the solution follow the next steps.

Q: F(x,y)=x3-y3-2xy+6 find the local maximum and minimum

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Q: a) f(x,y) =3y%-2y8-8x²-bxy find the caftical potnts of thi's function.and determine points quality.

A: Hello, thanks for your question but according to our policy I am answering the very first question.…

Q: Find the maximum slope on the graph of f(x, y) = 4 sin(xy) at the point P(5, 0). 1. max slope 20T 2.…

A: Given:- f(x, y) = 4 sin(xy) To find:- Find the maximum slope on the graph of f(x, y) = 4 sin(xy) at…

Q: Find the critical point of the function f(x,y)=3e^x−2xe^y. c= Use the Second Derivative Test to…

A: f(x,y)=3ex-2xey First we find critical point from equations fx=0 and fy=0 Then,  Second Derivative…

Q: Find a multivariable function f(x, t) that satisfies the Black-Scholes equation: ft = f - xfx -…

A: f(x,t)=etlog(x) satisfies Black-Scholes equation: ft = f - xfx - x2fxx

Q: Find the global minimum of the function f (x) = 1+x² on the interval (-∞, 0) . Write DNE is there is…

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Q: Let f(x,y)= 3+cos(x) sin(2y) a) Show that the function has a stationary point at (0,Pi/4). b) Is (0,…

A: To analyze the critical point (0,pi/4) of the given function of two variables

Q: Find a simple closed curve C with counterclockwise orien- tation that maximizes the value of f t* dx…

A: Given an integral. We need to find the C that maximises the value of the integration.  Let's start.

Q: The function f(x, y) = -2x² + 4y² - 12 has a local maximum at the point (0,0). Select one: O True…

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Q: Find the linear approximation L(x)of f(x)=x^4 at the point a = −5 L(x)=

A: Given that f(x) = x4 We have to find the linear approximation L(x) of f(x)=x4 at the point a= -5.

Q: Find the linearization L(x) of the function at a. f(x) = sin(x), a = 3 L(x)

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Q: 4. Determine the constant a,b, c, and d so that the curve defined by f(x) = ax³ + bx² + cx + d has a…

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Q: the absolute maximum and minimum values of f(x,y)= x²-2xy+2y on the rectangle defined I in the…

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Q: At what value of x does the curve y = x(x – a²)(x – b²) have a local maximum?

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Q: Find the linearization L(x) of the function at a. f(x)= sin(x), a= π\4

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Q: Locate the absolute extrema (maximum AND minimum): f(x) = 10x(2 - lnx) ,  on the interval [1,e^x]

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Q: f(x,y) = x [(In x)2 + y2] %3D find the extreme points of the function

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Q: Find the maximum slope on the graph of f(x, y) = 2 sin(ry) at the point P(4, 0).

A: The given question can be solved as shown in step2.

Q: Find the linearization of f (x) = xe¯* at a = 0. (Hint: Remember thne product rule.)

A: Given : fx = xe-x2

Q: what is the maximum of the function g(x,y) = (x2 + y - 11)2 + (x + y2 - 7)2 over the region 0 ≤ x ≤…

A: The given function gx, y=x2+y-112+x+y2-72 over the region 0≤x≤5 and 0≤y≤5. The required partial…

Q: Find a cubic function y=ax³ + bx² +cx+d that has a local maximum value of 3 at -2 and a local…

A: According to our guideline the answer to answer only the first question if you want any particular…