MATH 100 Lecture Notes - Lecture 13: Differentiable Function, Asymptote

• School: UBC
• Department: Mathematics
• Course: MATH 100
• Professor: Dragos Ghioca

Document Summary

A particle is moving on the x-axis and its velocity is given by: 1234 + 3 5 cos + 2 sin. At time t=0, particle is at s (0) = -3. = 4 arctan + 3 5 sin 2 cos + Section 1 (14 marks; 2 marks per question) T + t + 1 ( +42+u +421)( +42+2 +421) lim. Let f(x) be a differentiable function where derivative is y = 4 + that f(x) has exactly one zero (there is exactly one real number such that = 0) In order to show that = 0for some real number c, we need a change in the sign of (). Apply mvt on [0, 6] there exists a c" in (0,6) such that y = > 4 6 + 20 > 24 6 > 4 > 0 f. Apply ivt on [0, 6] there exists a c" in (0, 6) such that = 0.