The graphs of four derivatives are given below. Match the graph of each function in (a)-(d) with the graph of its derivative in I-IV. (a) 0 I (c) YA ·VA AV 0 ? X II 0 (b) III ·+M. ? O (d) ? X ? IV x

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A: We will find the  required derivative.

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A: To solve the limit limx→-4x2+6x+8x+4.

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A: Given: From the graph, it can be observed that the points of discontinuities are x = 1, 4, and 8.

Q: O (3³.3.32 + [23 [33 + Which shows the correct integration of 3.2² − +3•2+3In|2−1|]—[3³ + 2 3.3²…

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A: Our aim is to explain how to divide the interval -1, 1 into 5 sub intervals of equal length.

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A: Here we have to maximize the function.

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A: g'(x)=ddx3x4+2x2+9x3

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A: The differential equation that model the amount of salt in the tank is given by Q'(t)=(rate of…

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A: F=∫0ln19tanhxdxwe know  elnx=xtanhx=ex-e-xex+e-x

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A: We have to find out the values of the functions at the different x values and also the limits.

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A: Given f( x , y ) = 20 - 10x + 14y

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A: given  an=(-1)n(2n+1)for a1, put n=1

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Q: termine the interval on which f(x) = is continuous. Classify any discontinuities.

A: Given query is to find the interval where function is continuously.

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A: We are asked to find the limit of function

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A: here we use the definition of continuity.

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A: Here we have to find the value of 'c'.

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