As in Section 1.4 of the textbook, the step function H(t) is defined by { H(t) = 0, t < 0, 1, t≥ 0. 9. Sketch the graphs of the following combinations of step functions: (a) H(t) – H(t – 3) (b) 2H (t − 1) + 4H (t − 3)

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A: We can answer both the question in the below steps.

Q: 1. Find the linearization of the given function at the given point.

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A: Consider the equation

Q: 1. Sketch the graphs of the following combinations of step functions: (a) H(t)- H(t-3) (b) 2H(t-1) +…

A: Sol

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A: We have given function  gx=-315x+2 Horizontal intercept occur when g(x) =0 Put gx=0 -315x+2=0…

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A: Following is the graph plotted for individual functions.

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Q: F(x)= G(x)= (Fog)(x)= (Gof)(x)=

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A: Fundamental Principal of Derivate for f(x) is limh→0f(x+h)-f(x)h

Q: I need help with the graphing part

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A: Given : f(t) =2,0≤t&lt;22e-(t-2)t≥2

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A: Let's find.

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A: here we have graphical transformations.

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