Calculus Project
Minimizing Cost Version A
DUE: Friday, June 2nd
Step 1: Choose a partner
This project will be done in pairs
Step 2: The Problem
You have earned a promotion to Vice President
for Development at a building company. Your
company has just rec
408 CHAPTER 5 Exponential and Logarithmic Functions
Graph the pair of equations using the same set of axes. Synthesis
Then compare the results.
  n 7 so 70
95. y = 3x, x = 3), 96. y :1): x = 1" 105. Which islarger,7 or1r?70 or80 ?
In Exercises 106 and 1
@f(x) = x3
x4
x+3
be. f(x) = x3 2x
63 f(X) =
67. f(x) =
2x
Collaborative Discussion and Writing
69. If g(x) = b, where b is a positive constant,
describe how the graphs of y = Mac) and
y = (h  g) (x) will differ.
70. If the domain of a function fis
85. Parking Costs. A parking garage charges $2 for up
to (but not including) 1 hr of parking, $4 for up to
2 hr of parking, $6 for up to 3 hr of parking, and so
on. Let C (t) = the cost of parking for thours.
a) Graph the function.
b) Write an equation fo
@ Exercise Set
Make a handdrawn graph of each of the following.
Then check your work using a graphing calculator.
1. x = 3" 2. x = 4
3 x = G)" 4 x = (1)"
5.y=log3x 6.y=log4x
7. f(x) = logx 8. f(x) = lnx
Find each of the following. Do not use a calculat
Instructions for Submitting Timecards
1. Click on the ESS~MSS Portal icon.
2. Log on:
a. User ID is typically first initial of First Name and first 6 letters of Last Name
b. If you forgot your password, click the Get Support link
c. Enter the following:
i
@ Exercise Set
Make a handdrawn graph of each of the following.
Then check your work using a graphing calculator.
1. x = 3" 2. x = 4
3 x = G)" 4 x = (1)"
5.y=log3x 6.y=log4x
7. f(x) = logx 8. f(x) = lnx
Find each of the following. Do not use a calculat
Fractal project:
A fractal is a never ending pattern of geometric shapes.
I will first create a single geometric shape in a function
I can create a fractal by calling the simple function of a geometric shape in a loop.
I will use recursion to create the l
Brainstorming
Robotics + Business
This week your team will be
designing and selling a robot.
Brainstorming: Blue Sky Thinking
Start by making a list of ideas all ideas are fine at this
point
Is there an industry that could use more automation?
Think about
Chinmay Tyagi
8/17/16
1. A generalization takes shared characteristics from multiple classes and combines them into a
general superclass. Specialization is a unique characteristic from a class that can be added to
more specific subclasses.
2. A specificat
Chinmay Tyagi
1. Graph and Lowest common ancestor : In a graph, the lowest common ancestor between
two nodes is defined as the lowest node in a tree that has both the nodes as descendants
2. Graph and Acyclic graph : A directed graph which has loops from
1) Exception: A problem that rises when execution a program
2) Iterator: In objectoriented programming, an iterator is an object that allows programmers to
move a container, (mostly lists).
3) Branch: A command that redirects any instructions from the co
Invariant: A property that holds for all instances of a class, always, no matter what other code
does.
Representation: Data Representation refers to the methods used internally to represent
information stored in a computer
Algorithm: The steps you take to
Object method: A method that does not have the keyword static preceding it is an Object
method
class method: Class methods are identified by the keyword static in the first line.
this (keyword): It is a class level keyword, can be used to refer to the var
Week Nov 28th
Week Nov 21st
Week Nov 14th
Week Nov 7th
Before Nov 7th
Week Nov 28th
Week Nov 21st
Week Nov 14th
Topics:
Hw:
1. Chapters 4 and 5 of the Stanford Logic Course (reading and problems)
Week Nov 7th
Topics:
 Reading on recursion and iteration

5.3 Bisectors in Triangles
Concurrency of PBT: The bisectors of a triangle are concurrent.
Note: They concur at the center of the circumscribed circle, called the circumcenter of the
triangle.
Informal Proof (not done in book): Refer to first figure below
2
i. The rate at which rainwater flows into a drainpipe is modeled by the function R, where R(t) = 205in[5)
cubic feet per hour, t is measured in hours, and 0 S t S 8. The pipe is partiaiiy blocked, allowing water to drain
out the other end of the pipe
AB CALCULUS
REVIEW #6
FREE RESPONSE
50LMTIDHS
._._. 1. On a certain workday, the rate, in tons per hour, at which unprocessed gravel arrives at a gravel processing plant
2
is modeled by on) = 90 + 45005(1cfw_], where z is measured in hours and o s t s 8.
AB CALCULUS
REVIEW #8
FREE RESPONSE
#1  2 Calculator
#3 6  NonCalculator
SOLuTt 0N S 1. Grass clippings are placed in a bin, where they decompose. For 0 S t s 30, the amount of grass clippings
remaining in the bin is modeled by A(t) = 6.687 (0.931)
AB CALCULUS
REVIEW #3
FREE RESPONSE
,41
SoumoM$ 1. For 0 S t S 6, a particle is moving along the xaxis. The particles position. x(t), is not explicitly given.
The velocity of the particle is given by v(t) = Zsin (e I) + 1. The acceleration of the particle
AB CALCULUS
REVIEW #5
FREE RESPONSE 1 (minutes)
W(t) (degrees Fahrenheit)
15 56
l. The temperature of water in a tub at time t is modeled by a strictly increasing, twicedifferentiable function W.
where W(r) is measured in degrees Fahrenheit and t is
Q)
lAC Practice for Test on 9.6 Induction and Name: KE\']
2.4,2.S,2.7,2.8 Limits and Continuity
MULTIPLE CHOICE
2
E x l x s l . .
I. Let [(x)  Which of thc followmg statements. I. 11 and III, are true?
4 x >1
1. limfU) exists ll. cfw_(1) exists Ill. 1 is
AB Calculus TestChapterSVersion A Name:  g7 'V 4"5
No Calculators . Date:
Multiple Choice Directions: Choose the best answerfor each question, and circle it. Any scratch paper used must be
stapled to the test, though it will not be graded. (3 pts each)
AB Calculus Name [5 e 2
Test Chapter 4 Period
Version A
Part 1: Multiple Choice  30 minutes g Calculators (3 pts each
Solve each problem, choose the BEST answer, and circle it.
Any scratch paper used must be stapled to the test, though it will not be gra