Repeat Exercise 8 for the graphs
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Discrete Mathematics with Graph Theory (Classic Version) (3rd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
- Figure 4 shows the contour map of a function f (x, y) together with a path r(t) in the counterclockwise direction. The points r(l), r(2), and r(3) are indicated on the path. Let g(t) = f (r(t)). Which of statementsarrow_forwardFind the linearization at x=a and then use it to approximate f(b) 1.) f(x)=x4, a=1, b=0.96 2.) f(x)=sin2x, a=pie/4, b=2.02arrow_forwardAt 8:00 a.m. on Saturday, a man begins running up the side of a mountain to his weekend campsite. On Sunday morning at 8:00 a.m., he runs back down the mountain. It takes him 20 minutes to run up but only 10 minutes to run down. At some point on the way down, he realizes that he passed the same place at exactly the same time on Saturday. Prove that he is correct. [Hint: Let s(t) and r(t) be the position functions for the runs up and down, and apply the Intermediate Value Theorem to the function f(t) = s(t) − r(t).]arrow_forward
- Find the linearization L(x) of the function at a. f(x) = x2/3, a = 27arrow_forwardFind the linearization L(x) of the function g(x)=xf(x^2) at x=2 given the following information. f(2)=0 f’(2)=8 f(4)=4 f’(4)=-2 L(x)=?arrow_forwardParametrize the directed line segment which joins the point −2 + 3i to the point 5 − 7i, that is, find a function t → z(t), a ≤ t ≤ b such that the range of the function is the set of all points of the said line segmentarrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage