Which describes the end behavior of the function? f (x) = 5(4)* - 4 %3D As x 00, f (x) → 0; as x → -0, f (x) → -4 As x - 00, f (x) → ; as x → -o, f (x) → 4 OAs x oo, f (x) → ; as x → -0o, f (x) → ∞ As x - 00, f (x) → ∞; as x → -o, f (x) → -4

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Q: 11. Differentiate the function (use chain rule): y = x²(x-1)³(2x-5)² ;

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Q: Q2 (a) Let f (x) = x* - 4x³ + 10 (i) Find all critical points of f(x). Determine whether the…

A: For, critical points we take f'(x) =0 For, inflection points we take f''(x) =0

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Q: (b) Using linearization, approximate f(-0.1, 1.8).

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A: Solve the following

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A: Given function is, But, Hence,

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A: f(x)=ln 5x2+4x2+1

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A: We first sketch the function

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A: We have to solve the problem

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A: The function is given by

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A:

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Q: -4 Find the linearization L(x) of the function at a. 3. f(x) = /x, a = 4

A: fx=x=x12 f'x=12x12-1=12x-12   At a=4,  f4=412=2 f'4=124-12=1212=14

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Q: The critical points of the function f(x) 36z2 - 2x occur at 2- 0, r +4.00 0, z +2.40 %3D I0, z -…

A: We have to find the critical points of the function f(x)=36x2-2x4.

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A: topic - translation of a function

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Q: The critical points of the function f(x) = 16x² – 2a4 occur at x = 0, x = +1.00 O r = 0, x = ±1.60 O…

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Q: 5. Find the maximum and minimum values of the function f(x) = x e-2a on the interval [0, 1].

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Q: Q3. At what points are the functions continuous y =-3x x+3 y = x2-3x-10' y = (2x - 1) X-2

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

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Q: Find the critical points for the function: f(x,y)=40+x3(x-4)+3(y-5)2 Are these points local maxima,…

A: Let us determine the nature of the critical point in the next steps.

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Q: What is the relative maximum value of the functionf (x) = x³ – 6x? + 9x – 12? f(x) has a relative…

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Q: 2 The function f(x)= (x² – 1) ³ , is decreasing on the interval (- 00,-2)U (0,2) AO (-1,0) U (1, ∞ )…

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Q: 2x³4 Q1 Investigate the limiting behavior of_f(x,y)=- x4+y² as (x,y) approaches (0,0)

A: Along x=0 f→0y2=0

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A: Given,            k(x, y) = x2 − xy + 4y2

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Q: 5 The function g(x)= hx²-4x + k has a minimum value of -1 when x= 1. Find the value of h and %3D %3D…

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Q: 3, x21 Graph the piecewise linear function f(x) = -1-x, x<1 OB. OD. OA.

A: Note: We know that piecewise function is a function defined by multiple sub-functions, where each…

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A: Given that a function “f (x)” has two zeros at (-9, 0) and (7, 0) and the leading coefficient of the…

Q: Q4: (a) Find Critical point of f (u) = ue"" + Invu" +n, Where n-540o Find the increasing and…

A: The function f(u)=ueun+lnun+n, where n=540. Then we have to find the critical points and find the…

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A: Solve the following

Q: Using the graph above, state where f (x ) (a) has critical points: (b) is increasing: (c) is…

A: According to the given graph: (a).   f(x) has critical points at:  x=0,   x=4   and   x=7

Q: Suppose that a is a positive number. How many critical points (if any) does the function h(x)= have?…

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Q: 4. The function f(x, y)= (x² +2y² )exp| . +8xy is homogenous in x and y of degree 5 The function…

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Q: B4: a) Find and classify all critical points of the function f(x) = x³ + 3x² – 12x + 5

A: In the question we have to find critical points.

Q: y fx) 4 3 21 -5-4-3-2-1 x- 1 2 3 4 5 -2 On what interval(s) is fincreasing? How about decreasing? 1.

A: Let's find.