In Exercises 12-19, do an orbit analysis on the given function using a variety of seeds. 12. f(x) = V 14. f(x)=1/x 16. f(x)=2' 18. f(x)=2'-2 13. f(x)=x 15. f(x)= x+1 17. f(x)=x-1 19. f(x)= x-3

Q: ACTIVITY 3: Think More! 1. Find the equations of the two tangent lines to f(x) = x2 that pass…

A: The given problem is solved below in detail.

Q: Find all local maximum and minimum points of y = 2 + 3x − x³ by the second derivative test.

A: y = 2 + 3x - x3    => y' = dy/dx = 3 - 3x2 = 0 (set)                => 3(1 - x2) = 0…

Q: 5) Chapter 3.3 Find the second derivative of f and discuss the concavity of its graph. a. f (x) =…

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Q: 3. A function and its first 2 derivatives are given. x² - 4x (x+4)² f(x) = = (x+4)³ (3x - 4) f'(x)…

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Q: - Given f(x) is graphed below, sketch f(x) on the coordinate plane with f(x). -1,2) -5- (1, 1)

A: Consider the points on the graph of f(x) are (-1,2) and (4,1). The objective is to sketch the…

Q: If  f(a)=b,  then which point is on the graph of   f(x)? 1. (f(a),f(b)) 2. (a, b)(a,b) 3.…

A: Given : f(a) = b

Q: Use the graph of f and g. Let p(x) = f(x)g(x) and g(x) 2 (a) Find p'(4). p'(4) = = (b) Find q'(1).…

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Q: 6. a) Determine the slope of the tangent to the curve (shown in the picture) at the point whose…

A: Given curve is g(x) = 5x.

Q: Solve the problem. 23) Find the points where the graph of the function have horizontal tangents.…

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Q: In Exercises 1–6, use Eq. (1), to estimate Aƒ = ƒ(3.02) — ƒ(3) 1. f(x) = x² 2. f(x) = xª

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Q: 2. If g(x) = (ƒ 03ƒ •4f)(x) = ƒ (3ƒ (4ƒ(x)). Determine gʻ(3), given f(3) = 1, ƒ(4)=1, ƒ'(3) = 2 and…

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Q: a) y = -5x6 b) y = 6x2 c) f(x) = -7

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Q: 2) The graph of f (x) = 0.5x(x – 4) (x – 7) is given below. d h a) Draw on the graph the local…

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Q: 4. If g(x+2) = f(x-7) and if point A(4, -1) is on g(x), then a. Find a point A' on f(2x) b. a…

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