Question 1. (. (i) 3x¹ + 2x³ +5x + 9 ln x is 0(x³) Use the (limit) definition to determine whether: Show all steps used to arrive at your answer. 2º + 3x² + 17 is (2ª)

Q: d [x² +1] dx x4 d dx -[(x² + 1)5⁰]

A: Topic = Derivative

Q: a. Let f(x) = (-4x² + 3) (-4x² − 3). - Then f'(x) = b. Let g(x) = 2√√x + 3 x4 +2x² Then g'(x) Hint:…

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Q: 8 Use definition L{f(t)} = - S% e- 0 -st f(t) dt to find L{3t}

A: From definition of Laplace integral  for function ,, Here

Q: Find (f/g) (n) when f(n) = x^2 - 3x - 4 and g(n) = x + 1 _____________________ A. x + 2 B. x - 1 C.…

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Q: Q3)Find the asymbtotes of the function f(x)= x -4

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Q: 8. Show that f(x) = ½n² - ½n is O(n²)

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Q: Given g(x) 4 2-4' g(-2+h)-g(-2) h evaluate and simplify:

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Q: T T 5x1 - x2-x3 (:))-[-²] x1 + 5x3 x1 x2 X3 3 Ex: 5 (*))] 2 Ex: 5 -4

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Q: 4. Solve x(x + 6)(x – 8)²(x – 1) > 0 by sketching. Express your answer using interval notation.

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Q: When estimating f (0) for f(x) =x? using the formula f(x+h)-f(x) (0) and h=0.1 the truncation error…

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Q: 1.) f(x) = x² + 2x g(x) = 2x - 3 Find (g - N(x) 2.) f(x) = 2x' + 4x + 2x + 1 9(x) = x' - x + 7x + 9…

A: Explanation of the answer is as follows

Q: 8. Find f'(x) if S(x) = 2 2rt3 9. Convert to a radical expression: 5b" 10. Convert to an expression…

A: We know a1n=an amn=am·n

Q: Let 13/5 f(x) = x¹¾/5 and g(x)=x11 what is (f(x)) 8 (g(x)) ³/5 ?

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Q: If x has a value of -4, determine if the series converges (absolutely or conditionally) or…

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Q: Given f(x) 3 = T 3) (g f) (4) and x²-1 glx) 2x+7, find the following. 4) (gofog) (-1)

A: Given f(x)=3x2-1 and g(x)=2x+7

Q: 4 If f(x) = ln(2x² – 3) then f'(x) =? - 2x a) 2x2 – 3 - 4x b) 2x2 – 3 2x c) 2x2 + 3 -4x 2x2 – 3 -…

A: f(x) = ln(2x² - 3) So, f'(x) = 1/(2x²-3) × (2x²-3)' So, f'(x) = 4x/(2x² - 3) .... Option (b)

Q: Consider the function f(x)=ln⁡(x2+3x−10) Find the domain of the function f(x) and enter your domain…

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Q: 6. Differentiate. (Do the first step only, do not simplify) f(x) = (2x* - x³)²√3x + 1

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Q: B 2 Show that can be written in the form A + C where A, Band Care T (x - 2)(x + 3) X-2 +3' constants…

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Q: e. f(x) = 2* OA. O(x²) B. Q(x²) C. O(x²) В. f. f(x) = [x][x] (floor of x times ceiling of x) OA.…

A: Option (B) is the correct answer.

Q: X/x2-xy

A: First we try to cancel x^2.  We multiply x by x to get x^2. Then subtract it.

Q: EXPONENTS x². x° = m+n a" a" 12 .(a+0) (**0) m-n %3D (x*)* - (3x)* = (a")" = a" (ab)" = a'b" a° = 1…

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Q: (2.00-x) Vq₂ = ±xV|q₁|

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Q: x² – 4 Evaluate: O -V-4+2sec-() +c (A + C B = 2/ x2 – 4 + sec + C = /x² – 4 + sec (4) c) + C -Vx² -4…

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