# Unit 2 review functions and limits answer key

Example 1: Find the volume of the solid generated by revolving the region bounded by y = x 2 and the x‐axis on [−2,3] about the x‐axis. Because the x‐axis is a boundary of the region, you can use the disk method (see Figure 1). Figure 1 Diagram for Example 1. The volume ( V) of the solid is . Washer method

Therefore, we need to set the given function equal to zero. h(t)=0-16t 2 +46t+6=0. Now solve the resulting equation. Factor the left side and use the zero-product property to solve for t. -2(8t 2-23t-3)=0-1(8t+1)(t-3)=0 t=-1/8 t=3. The answer only makes sense when t is positive, so we can discard the negative value.

Trigonometry Review with the Unit Circle: All the trig. you’ll ever need to know in Calculus Objectives: This is your review of trigonometry: angles, six trig. functions, identities and formulas, graphs: domain, range and transformations. Angle Measure Angles can be measured in 2 ways, in degrees or in radians. The following picture shows the

Review Calendar Table of Contents ... 2.4 Limits to Infinity. Notes Key Practice Key (Updated cuz I didn't use -3 on number 2.) Application Key

They study graphing and transforming trig functions. They study radical, rational, inverse, logarithmic, and exponential functions. Unit 2 – Limits and Continuity Limits are the next topic students explore. They investigate the computation of limits, indeterminate forms, limits to infinity, and one-sided limits. Next they discuss continuity.

Complete GO #1 with students reminding them of concepts from Math 1. Then, use GO #2 to review the transformations of an absolute value function. Included are vertical shifts, horizontal shifts, reflection over x-axis, stretches and shrinks. Students should use different colored pencils to draw each graph.

1 Unit 2: Functions, Limits & Continuity DAY TOPIC ASSIGNMENT 1 Graphs of Equations Pg. 71 10 Limits Algebraically Pg. 72 11 Limits Review Worksheet (passed out in class) 12 QUIZ 2 13 We will review key properties of mathematical relationships that will allow us to solve a variety of problems.

Selected Answers (assignment): Assignment 7 – Selected Answers Selected Answers (review): Assignment 5 – Selected Answers. 8/27 – Quiz. 8/28 – Early Release. 8/29 – Trig for Any Angle Timed Quiz Practice: Unit Circle Timed Quiz – Circle Powerpoint: Trigonometry at a Point Selected Answers: Assignment 7B – Selected Answers a. 8/30 ...

units upward d. 3 units to the left 6. The quadratic function y = -2x2 + 4x - 3 has a. real and unequal zeros b. real and equal zeros c. no real zeros d. equal and not You will be able to formulate real-life problems involving quadratic functions, and solve them through a variety of techniques with accuracy.Unit 5: Limits at Infinity-II & Asymptotes / Curve Sketching & Function Analysis / Optimization Unit 6: Area, Riemann Sums Unit 7: Antidifferentiation, Fundamental Theorems of Calculus & Integration by U-Substitution Note: The answer keys posted are Mrs. Bohrmann's scratch work. You are expected to use correct notation on all assessments. box that is provided. Correct answers do not require work to receive full credit. However, partial credit can be awarded to incorrect answers based on work shown in the adjacent blank space. Hence, you are strongly advised to show work for each problem. 1. [10 points] Find the exact value of lim (C) (D) The limit does not exist. Answer: 2.