Consider the function f defined by Sin (3x?) if x ±0 f (e) { 22 if ge =0 Use the limit definition of tehe devivatine to compute f'C0) c or explain why this liunit your er knoun lini't that are used. does not exist. y limit and cite any answer

Q: #5 using Descartes's rule of signs

A: Given equation is,

Q: D21. Homepage - Peterborough Vict x D2L. Joseph Chiaramida MDM4U-0 х D21 Quizzes - MDM4U-01-Data Ma…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 1-4 Find the linearization L() of the function at a. 1. /(0) ) - x' - + 3, a--2 2. /() sin x. 3.…

A: To find the linearization L(x) of the given functions at the given points a. Linearization of any…

Q: y = 2p y = ||

A:

Q: please help! Limits are an integral part of calculus because a range of variables form the limits in…

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A:

Q: measured in inches. You will need some basic facts about cans. See Figure 2.107. + 2Tr FIGURE 2.107…

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Q: 6. Given r + y° = 1, find y"

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Q: 5. x' = 1 1 6 161 611 X

A: Given : x'=116161611x To find : The solution of the given differential equation . We solve by…

Q: company boyoht The ualue af the A machhe cfor $200o.000 decreaser tme due over machme fre) = P.e…

A: initial value of machine, P0= 2,000,000

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A: We need to find coordinates of H.

Q: 13. An expression for the range of y = acos (0) -3 , where a > 0, is O{y|-a-3 <y Sa-3, y € R}…

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Q: Graph with solution f(x,y)= abs x + abs y

A: 3-D plot Contour Plot fx,y=x+yfx,y=x+yx≥0, y≥0x-y-x+y-x-yx≥0, y&lt;0x&lt;0, y≥0x&lt;0. y&lt;0

Q: f(x) = 2x? + 2x + 4 a) Find f'(x). 4x+2 b) Identify the graph that displays f in blue and f' in red.…

A: Here, the given function is: f(x)=2x2+2x+4...(1)      =2x2+x+14-12+4      =2x+122+72

Q: 3 and v = 4. Evaluate 16u2v3 when u = - Write your answer as a simplified fraction or integer.

A: The given expression is: 16u2v3

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.