Find the (natural) domain of the function x² - 4 f(x) = Vx² – 4 %3D O(-2, 2] O(-2, 2) (2, 0) O [2, 0) O(-00, - 2] U [2, ∞) O(-0∞, -2) U (2, ∞)

Q: can you solve this question please

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Q: Find the critical point of the function f(x,y) = 4x²y² + 3y2 + 5x2. %3D o a. (-0.87,0) o b.…

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Q: 2. Let f(x, y) =r² – 2xy + 2y² - x + 3. (a) Determine all the critical points of f. (b) Determine…

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Q: The critical Points of f(x, y) = x3 – 3x + 3y? – 6y are: None of these O (1,-1) and (1,1) O (-1,1)…

A: Partially differentiate with respect to X and Y and equate with zero. Solve both equation and get…

Q: 23:- Find and sketch the domain of the following equations:- 1) f(x,y) = Ln(1 – x² – y²) (2)f(x, y)…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Consider the R² – R function f defined by f (1, y) = 2² – 6x +3y² - . (a) Find all the critical…

A: For critical points we need to find first order partial derivatives of given function and substitute…

Q: 3. Find the linearization L(x) of the function at a. F(x) = Vx, a = 4

A: Use the formula for the linearization of a function about any point.

Q: x*y"-xy'+y = 0 c) Y, = In x

A: Let's find.

Q: Find the Linearization L(x) of y = (1+x)¬1/² at a = 8. L(x) = %3D

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Q: 4) Determine the function F(x)=[ƒ(1)dt, where ƒ(x)=sgn(x-x²) for xe[-1,2]. -1

A: f(x) is discontinuous but F(x) is continuous

Q: Picture attached. Thanks in advance!

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Q: Find the linearization L(x) of f(x) at x = a. f(x) = Vx +15, a =7 %3D L(x) =

A: Givne that fx=x2+15, a=7To find L(x)

Q: Determine the linear approximation of f(x) = x' at x = 1. О а. уз- 1 х-0 О Б. у3 1x +0 O c. Not in…

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Q: (a) Find the linearization L(x) of f (x) = v25 – x² at a = 3. (b) Use the linear approximation L(x)…

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Q: Find the local linearization of f(x)=x^(2) at 2

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Q: Find the linearization L(x) of the function f(x)=x^3/4 at x=1

A: Given, f(x)= x³/4 x=1 Therefore, f(x=1)=1³/4 f(x=1)=1/4

Q: Find and classify all critical points for the function f(x, y) = x + y – 4xy + 2 %3D

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Q: Let f(x, y) = 2x² + 2xy+ y² – 6x + 2y be given. Find and classify critical points of the given…

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Q: 9. Let f(x) = x³ – 3x² + 3. a. Find the y-intercept of the function; b. Find all critical points of…

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Q: Can i get help step by step please

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Q: Differentiate the function. y=In(x²+e' y=In(x²+ean x)

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

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Q: Find the Linearization L(x) of y= (3+ x)-1/2 at a = 1. L(x) =

A: To find the Linearization.

Q: Find and classify all critical points of each of the function: a.f (x, y) = (x² +x + 1)e¬²/10-y² f…

A: Solution is given below:

Q: Find the linearization of the function f (x) = x³ at x = 1. L(x) = Using this linearlization, ƒ…

A: Answer is in next step.

Q: The function f(z) 2x-36z+120z-8 has two critical numbers. The smaller one is x = and the larger one…

A: A critical point is a point in the domain of the function where the function is either not…

Q: Find the linearization L(x) of f(x) at x=a. f(x)=x/2x+9 a=0

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Q: The antiderivative of the function f(r) = 2.5 .0+7.3z is %3D -2.5 + 1.8z +c -2.5 0+1.8z+ c 6. -2.5…

A: We will integrate the function and use c as the constant of integration.

Q: Find the linearization L(x) of the function at a. f(æ) = VT, a = -8 L(x) = %3D

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Q: The antiderivative of the function 4 + 10x is. x2 f(æ) = 4 + 5.0x2 + c - -4 5.0x2 + c -10 + 2.0x2 +…

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Q: 1. Integrate the function f(x, y) = x – y over the triangle T with vertices (0,0), (1,0), and (1,2).

A: Given triangular region is bound by the vertices 0,0, 1,0 and 1,2. The sides of the given triangular…

Q: 5. Find and sketch the domain of the functions (3D) A) f(x, y, z)=√√√1-x² - y²z² B) f(x, y, z) =…

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Q: x+2 Find the linearization of f(x) = 6 - 21 dt at x=4. 1+t 6

A: Given a function f(x) at x=4 We have to find the linearization of f(x) at x=4 For solving this 1st…

Q: Find the linearization L(x) of the function at a. f(x) = Va, a = -8 L(x) =

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Q: Find the linearization L(x) of the function at a. f(x) = e5x a = 0 L(x) 1 + 5x %3D %3D

A: We have to find linearisation

Q: -Find the least squares approxtmation polynomial of degree two for the continuous function f(x), (x)…

A: Least square method to approximate polynomial: Least square method to approximate the two degree…

Q: Find the linearization of the function f (x) = a° at a = 1.

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Q: Find the linearization L(x) of f(x) at x = a. f(x) a = 0 %3D 7x +4 L(x) 16 ** 16 L(x) 16 4. 7 L(x) =…

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Q: The set of the critical points of the function 1 f(x, y) = y – 1 .2 x + xy + 13y - x +2 is: 4 %3D

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Q: If f(x) %3D (x + 1)2 + 2, х<-1 Then f-'(x) = a. х — 3 Оь —1+ Vx — 2 -1- Vx – 2 Od. 1- Vx – 2 е. -1-…

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Q: FInd the linearization of the function given below at the specified point. f(x) = 5 In(x) at a = 1…

A: f(x)=5ln(x)  at x=1

Q: 1. Determine the nature of the stable points of the function f (x, y) = x²y – x² – 3xy + 3x + 2y –…

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Q: Find and sketch the domain of the function. f(x, y, z) = ln(64 − 4x2 − 16y2 − z2)

A: Given function is      f(x,y,z) = ln(64-4x2-16y2-z2) We have to find the domain of this function.

Q: Find the linearization L(x) of f(x) at x = a. f(x) = x + , a = 2 2. L(x) =x %3D 3 L(x) = %3D 4 x + 1…

A: Solution: f(x)=x+1x, a=2

Q: The function f (x, y) = x³ + y³ + 3x² - 3y² - 8 has local minimum at the critical point (0, 2). True…

A: To tell if the given statement is true or false.

Q: F(x) = (2t – 1)³ dt - using the Fundamental Theorem of Calculus. 25 F'(x) =…

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Q: Q3: Find fxx of the function f (x, y, z) = -In/1-x2 - y2 – z2 %3D

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Q: Find f(3,4) for f (x, y) = In(x + /x² + y²). %3D

A: Given:- f(x, y) =ln(x+√(x2+y2))  To find:- fx(x, y) at (3, 4)

Q: Find constants c1 and c2 such that F(x) = c1xe -x + c2e -x is an antiderivative of f(x) = 3xe -x .

A: Given: Fx=C1xe-x+C2e-x  and fx=3xe-x

Q: 2. Find the maximum and minimum values of the function f(x, y) = x² + y² − x − y +1 on the…

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