Manual Solution for Exam 1 - Calculus / Analytic Geometry I | MAC 2311, Exams of Analytical Geometry and Calculus

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a4 BERMAN () (o) NAME MAC2311 - Calculus I - Test 1 — Part 1 Calculators may not be used for this part. Show all necessary work for full credit. Be sure to use the method(s) indicated. Each exercise is worth eight (8) points, unless otherwise noted. 1, Using the function in the diagram below: 4 A) Draw the secant line over the interval 1, 3]. Determine the slope of the secant line. 4 B) Draw what appears to be a tangent line at x =4. Approximate the slope of the tangent line. LO) Write the slope-intercept of the equation of the tangent line at x =4. ior 2. If lim f (x) =5 and lim g(x) =~3, evaluate the limit, if it exists. (Use limit rules) im[er(s)-29(9] 2 Gx (4 59) ~ Be (ayia) KOK - se _ adn (x) > 4 A & si 3 er 7 = 2 +h ARE 3. Use analytical techniques to evaluate each limit, if it exists: A. lim(5x? ~3x+2) (Each part worth 4 points) . B. lim x? —3x = Rye. Ala- 3) > spy or me DS Ex eS?) j -_ ns Ain A 4s -%+2 DS ee 5B