Which of the following correctly describes the end behavior of f(x) = -x* +2x ? O A. As X → - 0, f(x) → – ∞ and as X → 0, f(x) → ∞ O B. As X → - , f(x) → – ∞0 and as X → 0, f(x) → - ∞ OC. As x→ - 0, f(x) → ∞ and as X → 0, f(x) → 0 O D. As X → - 0, f(x)→ ∞ and as x → 0, f(x) → - ∞

Q: Let {(=) = In ="(z +2)*(z² + 9)] f'(x) =

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Q: Consider the following. f(x) = 2x/ 16 – x², [-4, 4]

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Q: Which of the following correctly describes the end behavior of g(x) = -2x3 + x² - 4? O A. As X→ - ,…

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A: Yes. f is well defined because we can measure the every numerical value of the function and can…

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Q: 29. For |x|<1, prove that 24x 1-x 16x 8x 1 + 1-x1+x ....... 8x &r = 1+ (1- x) (1 +x)2 ' (1-x)2 ...

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Q: Which of the following is a critical number of f(x)= 4. 2x %3D

A: The given functIon is: f(x)=14x2-2x

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Q: 2x-3 for *く-S メ+4 %3D ーメ+3 for マ-S メ+2 for x) -5 メ+ヒ find *ビ" し 1n for order f(x) to メ- -5

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Q: f is increasing on (a, b) of for all x1, x2 in (a, b) when x1 less than x2,f(x1) less than f(x2).

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Q: Consider the following. f(x) = x 4 1 4 1 3 - x2 %D - Find the critical numbers. (Enter your answers…

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Q: f(x) = (x² − 9) -

A: Given :f(x)=x2-923

Q: Which of the following correctly describes the end behavior of g(x) = -2x4 + 3x3 - x2 - 4? O A. As X…

A: We use the definition of the end behavior of the function to answer the given question.

Q: Describe the end behavior of the graph. 20 16 12 +12 +16- 20 O Ax)→ -co as x→-o and (x)→ -co as x→…

A: To determine the end behavior of the below graph.

Q: 1. Let f:R R be defined by {1 if x rational number, 12 if x irrational number f(x) = Show that f is…

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Q: if ニ if 1-X fCx +2) = f(x) Hx f on [-3,3] and we Suppose draw the funch'on

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Q: Consider the function f(x) = In(x) – arctan(2.x). 2 a. Determine all critical points in the domain…

A: We know that the critical points of a function are those points at which the first derivative is…

Q: Let g=yf(xy). Show that: - მყ У ӘУ дд - X- = g дх

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Q: 6) Show that the function f:Z → N given by 2n +1, n20 f(x) = -2n, n<0. is 1-1 and onto. I

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Q: Q2) Discuss the continuity at x=2. When: x> 2 x = 2 3x + 1 f(x) : x² + 3 %3D 2x + 1 x< 2

A: The given functionf(x)=3x+1x&gt;2x2+3x=22x+1x&lt;2to check continuity at x=2

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A: The critical points of a function are the points where the derivative of the function is not defined…

Q: Q1) check the continuity of fX) at X- -1, 0,1.23 -1<x<1 2x-1, 3x-2 25x53 2, x=3

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Q: Prove, if f(x)= V1+x² –In +1+ 1 is increasing and concave on x X E (0;+∞) .

A: f is increasing if first derivative is positive in the interval  and f has concave if second…

Q: Q 4. (a). Show that limit *1, does not exist if (5-4x S(x)=. -)- {ax-2 for x <1] for xz1]

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Q: Suppose f(x) = In(x² – 1). Which of the following statements is true? Of has exactly one critical…

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Q: H.W/ using convolution theorem to find L-1

A: We have to find the Laplace inverse by using convolution theorem

Q: Describe the end behavior of the graph. 20 16 12 4 3-3 12 16- 20 f(x)→-co as x→-co and f(x)→-co as…

A: Consider the graph

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Q: 1 and the domain for g(x) is a s as x-> inf, f(x) -> inf and the

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Q: 12. Find the general solution using Reduction of Order: a) y" = In x

A: you have asked multiple questions in a single request we would be answering only the first question…

Q: 21. Discuss the continuity of : 1 x + for x 2

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A: Given that Y=Z-X. To show: Y is a constant function.

Q: Prove: for n > 1, F; – Fn+1 Fn-1 = (-1)".

A: F_n are the Fibonacci numbers which are defined by F_0=1,F_1=1 and F_n = F_{n-1}+F_{n-2} for…

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Q: For f(x) = 1 –x2on [−2, 1], do the hypotheses and conclusion of Rolle’s Theorem hold?

A: Rolle's Theorem: Rolle's theorem states that if a function f is continuous and differentiable on the…

Q: on the closed interval Co,14], (0,14)such that f'ccF FC14D-FCO) 14-0

A: we have to find the value of c

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A: Differentiate the expression of the slope with respect to x. For any value of x in the interval…

Q: Discuss the continuity of : 1 for x 2

A: Continuity

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Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: We use the Chain Rule, Product Rule and Quotient Rule to check the claim.

Q: 5) Find m so that g(x) (x - m =1-mx if x <3 if x 2 3 Is continuous for all x?

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