1. Use the graph to find the limits In (t + 2) f(t) = 2- -2 2 a) t→0 lim f(t) b) lim f(t) t→-1

Q: 2. (a) Determine the following limits if they exist. If they do not exist, clearly state so. i. lim…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Y Find det A 1SA - TAI = T.

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Q: 1. Let f(x) = 3² – 2x + 1. Compute lim (x)f – (4 + x)f 0+-4

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Q: 2. Sketch a graph of a quartic polynomial function y = fx) such that: € fu) > 0 when - 2 1

A: In the given question we have to draw the graph of a quadretic polynomial s.t f(x)>0 when…

Q: f(x) : II. Determine the limit of the function, g(x) = x² + 2, given its table of values. -3 11 -2…

A: Given :                              g(x) = x2 + 2         (1).…

Q: Suppose that sin α = 12/13 for a quadrant II angle α and sin β = 3/5 for a quadrant I angle β. Find…

A: Given,  sin α = 12/13                [angle α is in a quadrant II]  sin β = 3/5…

Q: f(x + h) - f(x) For the function f(x) = 5x? + 12z + 32, find f'(x) using the definition Jim %3D h O…

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Q: What is lim f(z) z→1 9(2) given f(x) = e2" and g(x) 3x2 – 3x + 6 ?

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Q: Suppose f(t) = 5t² + t + 3. Evaluate: lim f(t) = t→-2

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Q: Q1. Find the domain of the functions f(r) = V(2 -1)(r -7) and g(r) = In(r² – 4)(3-r). Also determine…

A: Solution:-   fx=2-x x-7                           & gx=ln x2-4  3-x      Find determine the…

Q: For the function f(x) = 8x² + 12x + 25, find f(x + h) – f(x) - f'(x) using the definition lim h>0 h…

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Q: For the function f(x) = 8x² + 13x + 28, find f(x + h) – f(x) f'(x) using the definition lim h→0 h

A: Given: fx=8x2+13x+28 Now by using the definition we get,…

Q: Find lim (√2-t, et-¹, In(t + 1)) t-0

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Q: Consider the function f defined on the domain -0.5 s x s 0.5 with f(0) = 1, and 0.5 lim h 0 f(x+h)-…

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Q: domain

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Q: 4. Determine which of the following functions has a vertical asymptote at x = a and a point of…

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Q: If f(x) = (3x – 2)10 , then f(1 + h) – f(1) lim h→0 h О 15 O 5 o 7.5 O 10 O 30 O 20

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Q: 3. Let f(x) = c.(x-4)+2 if 0 ≤x≤4 if x > 4 where c denotes a real constant. (a) Show that lim f(x) =…

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Q: Suppose f (x) -7x -3x - 8 Evaluate: lim f (x) x→5

A: This is question of limit and continuity Here we have to find limit of function at given value…

Q: B. Calculate the limits of the following functions.. 1. limx¬-1(2X2 + X + 4) 2. limy--2(y3 + 5y – 1)…

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Q: 2. For h(t)= Vt +12t – 2r² evaluate each of the following limits. (a) lim h(t) (b) limh(t) 『→の

A: We will find out the required limit.

Q: If 3x − 1 ≤ f(x) ≤ x2 − 3x + 8 for x ≥ 0, find lim x→3 f(x).

A: Here we use sandwich theorem Also known as squeeze theoremThis theorem states that , if gx≤fx≤hx in…

Q: 10.   calculate:

A: Step 1: Step 2: Step 3: Step 4:

Q: (d) fof(2)= (e) lim f(x)= x→0 5f(x) (f) lim x+3 || =

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