Exerciae 5: We have been discussing limits and their propertieo. Use tue sketch below to describe what lim fla) = L %3D X a represents. (use the graph m your description. Label important point's. Choose your a value. Own Y= FG) Label your value. Graph of y=f(x).

Q: give me the solution of   y'' - 2y'- 2y = 0

A: Topic:- differential equation

Q: the graph of y=f(z) (below) to fill in each box with the best possible answer: 1) lim (2) 3 11) Im…

A: By using the graph of  to find the following limits.Note: Since the student has posted many…

Q: 9. Fill in the blanks A model for the velocity v of a skydiver is = 9 – v². Then the value lim v(t)…

A:

Q: = (x-2)² + 4 3x-2 if X22 IF X = 2 IF X >2

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Q: Let the graph of g​ be a vertical shrink by a factor of 1/4​​, followed by a translation 1 unit left…

A: Consider the given information. Given function is fx=ex. Given that the function fx=ex is vertically…

Q: Sketch the inverse of the tangent function shown. Label any asymptotes and the y-intercept. |x=-1…

A: The graph for the inverse of the tangent function y = tan x is mirror image about the line y = x.

Q: A patient receives a 150 mg injection of a drug every 4 hours. The graph shows the amount f(t) 300…

A: lim f(t)  t  -> 8 = (150/4) * 3   = 225 /3 mg   when t approaches 8 from left then f(t)-…

Q: Let's analyze the function flx) = -2x² - 3x +5 Sketch the function. Include in your sketch (scaled…

A: In the question it is asked to analyze the function f(x)=-2x2-3x+5 A) x intercept, y intercept and…

Q: Formula for slope: f(x + h) – f(x) m = lim h→0 h 1. Given the function: f(x) = x² + 2x + 1 where x =…

A: The given function f(x)=x2+2x+1 , x=3m=limh→0f(x+h)-f(x)h

Q: Can you please answer this question and explain the steps

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Q: 3. For the function shown below, determine the following: a. limf(x) b. limf(x) c. lim f(x) AAY 3 21…

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Q: 9. Sketch the graph of f(x) labeling asymptotes and local x – 1' elative) extrema. You do not have…

A: The solution is given below

Q: Evaluate & A 2.1 y²dx + 3xydy

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Q: Directions: Find the derivatives using the definition of limits (4-step Rule). Show each step from…

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Q: Let f(x) = a. f(1) = f(2)= f(4) = x if x ≥ 2 2 if x < 2 a. Find f(1), f(2), and f(4). b. Sketch the…

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Q: Graphing Guidelines for y = f(x) 1. Identify the domain or interval of interest. On what interval(s)…

A: Explanation: Given that,                      1. Find the Domain.                     Here we see…

Q: d-n Let c and d be two positive numbers, and a, = (1 + Use the strategy from Example 8 (on page…

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Q: Explain how each of the following features relates to a function's derivatives and curve sketching.…

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Q: a) If lim f(x) = 5 then f'(-3) must exist. x→-3 b) If f(4) = –3, then f'(4) must exist. %3D

A: We need to determine if the statement is TRUE or FALSE. If the statement is TRUE: we need to explain…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: See the reference belowExplanation:Step 1: Let's analyze the function f(x)=−x(x−1)^3(x+1)^2:Degree:…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.