Definition of a logarithm:
If we start with EXPONENTIAL FORM and write a positive number N=bx, where b is the base
and x is the exponent, then x=logbN is called the LOGARITHMIC FORM. First write this
logarithmic form in exponential form, then simplify to
Evaluate and simplify
f ( x )=x 3 +k , where k=30 for
The difference quotient is :
f ( x+ x )f ( x)
x
f ( x+ h )f (x)
, but for this forum x
h
is substituted for h.
My equation will be reading out as f ( x )=x 3 +30
Graph:
First, we can plug in the inform
Find the average rate of change for the function f(x)=2x3+6+k from x=x1 to x=x2. For my
equation k will equal 30.
We need to find
y
x
by using the formula
f ( x 2) f ( x 1 )
x 2x 1
Once we plug the information given into the formula, it will read:
( 2 x 3
Thinkwell Exercise
Take: 2 | 01/20/17
1) QID: 11989
Evaluate:
sec x + C
tan x x + C
sec2 x 1 + C
sec2 x + C
2) QID: 11990
4e x 6cos x + C
e 4x 6cos x + C
4e x 5sin x + C
4e x + 6cos x + C
3) QID: 11991
cos x + C
cos x + C
2cos x + C
2cos x + C
4) QID: 119
1101 Test 1: Chapter 2 The Basics of Integration ( & Section 1.3.3 Derivative
Computations )
Take: 1 |
01/22/17
Directions:
Thinkwell Test 1 directions
BEFORE TAKING THE TEST:
1] From Thinkwell COURSE HOME tab, complete all of the preparation for Chapter
Unit: Practical Application of the Derivative
Module: Position and Velocity
Acceleration and the Derivative
Velocity is the rate of change of position. Acceleration is the rate of change of
velocity.
Tangent lines can be used to approximate functions that
Thinkwell Exercise
Take: 2 | 01/20/17
1) QID: 12024
Which of the following integrals is not a good candidate for
integration by substitution?
2) QID: 12025
U-substitution (also called change of variable) is a way to
undo:
Rotations across the y-axis.
The
The Squeeze Theorem
Approximate the limit of a function at a point by comparing it to another function whose limit at that point is known.
Visualize the Squeeze Theorem graphically.
Find the exact limit of a function at a point by using the Squeeze The
Finding Limits Graphically
In algebra, you consider how a function is defined at specific points. In calculus, you can consider the value that a function
approaches around a specific point.
The limit is the range value that a function is tending towards
Thinkwell Exercise
Take: 2 | 01/20/17
1) QID: 11975
Find the antiderivative of the function
f(x) = 7e x.
e 7x
7e x
2) QID: 11976
Find an antiderivative of the function
f(x) = sec2 2x.
2tan 2x
3) QID: 11977
Suppose you are told that an antiderivative of th
Hello everyone,
I will solve for K=3.
PROBLEM:
Find points of inflection and discuss concavity for f(x)=x(x-4) 3+k.
f(x)=x(x-4)3+3
First, we need to solve for the second derivative. In order to do that, I will
find the derivative of the first derivative.
1 of 26
Dr. Burger rides his bike to work in the
mornings. Usually, he leaves his house at 8:20
and gets to the office at 9:00 riding at a rate of
15 miles an hour. On this particular morning
he has overslept and leaves at 8:45.
Correct!
You said D:
40 mi
1 of 21
Correct!
You said A:
The correct answer is A:
Explanation:
explanation
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ENC:%26%22%2
ENC:%25%22LG
1
ENC:07%28%26
0
1
mc
next
ENC:%25%22LG
ENC:07%28%26
0
1
mc
1
next
1
review
false
fal
1 of 22
Correct!
You said D:
1
The correct answer is D:
1
Explanation:
1
csc x =
csc x
,
= csc2 x
sin x sin x
csc x
So,
cot2 x = csc2 x cot2 x
sin x
1
cos2 x 1 cos2 x
=
=
2
2
sin x sin x
sin2 x
sin2 x
=
=1
2
sin x
explanation
ENC:M%22%2CC ENC:%26%22%5 ENC