1. How do you obtain the second derivative of a mathematical function?
Describe the steps as you work through a specific problem and explain your answer in
relationship to the problem.
2. Please provide two examples of the use of second derivatives in any

Student: Angela Acosta Instructor: Susan Webber Assignment: Sec. 26.1
Date: 2/7/16 Course: Tech201 Spring 1 2016
Time: 2:50 PM Book: Washington: Basic Technical
Mathematics with Calculus, lOe
An inductor in an electric circuit is essentially a coil of w

1. Is every differentiable function continuous? Yes
If a function f is differentiable at a point x = a, then f is continuous at x = a.
Is every continuous function differentiable? No
Although every differentiable function is continuous, if f is continuous

Student: Angela Acosta Instructor: Susan Webber Assignment: Sec. 261
Date: 2/7/16 Course: Tech201 Spring 1 2016
Time: 2:52 PM Book: Washington: Basic Technical
Mathematics with Calculus, lOe
A hoist mechanism raises a crate with an acceleration (in m/ 5

6.7 problem 40
Force on dams
The following figure shows the shape and dimension of a small dam. Assuming the water level is at
the top of the dam, find the total force on the face of the dam.
The figure appears to depict a dam in a half circle form, 40 me

M1D1:
Since my initials are J and C, I was tasked with an exponential function but not the exponential
function of base e AND a polynomial of a degree greater than two.
So I am struggling a bit here but hoping to improve. I took this long to post as I wor

John Christy
Tech 201
M2D1: Derivatives
Section 3.6, question #54
Cell population: The population of a culture of cells after t days is approximated by the function
P (t )=
1600
for t 0 .
1+7 e0.02t
a. Graph the population function
b. What is the average

M3D1: Related Rates:
John Christy
Tech 201
From section 3.11
Question #47
Oblique tracking: A port and a radar station are 2 miles apart on a straight shore running East and
West. A ship leaves the port at noon traveling Northeast at a rate of 15 miles an

John Christy Tech 201
6.1 Problem # 35
Acceleration
A drag racer accelerates at a(t)=88
ft /sec
2
Assume that
v ( 0 ) =0 , s ( 0 )=0 and t is
measured in seconds.
a) Determine and graph the position function for t 0.
From the text book, Given the accelera

John Christy Tech 201, M5D1: selected B-M-3
B= 12-2x
M= midpoint
3= number of rectangles, or n
6
The above input for finding a Reimann Sum is written:
( 122 x ) dx
where x=ban
We have that a=0, b=6, n=3
Therefore, x=603=2
Divide interval [0,6]
into n=3 s

We learned many calculus concepts and their technical applications this term. Now that you are
completing the last chapter, please tell me which topic was most relevant to you. Please answer
this question thinking about your current major or your future c

2
Calculating the sound intensity (in dB) of a jackhammer producing sound at 10 watts/m
2
is
given by:
IL=10 log (
I
)
I
Where:
IL=
Sound intensity level in dB
I = Sound intensity in watts/ m2
I = reference intensity or least audible sound level in watts/

To find the velocity of a wrecking ball at a particular angle in its swing, we must first start with
displacement. For a 10m cable, and a ball swinging at 20/sec, find velocity at =60
To find the change in height of the ball from the ground, we use the eq

Since my initials are W and W, I have created a piecewise function with two trigonometric functions for
this discussion.
My functions are:
x
2
, x<2
x
2
, x2
sin
f ( x )=
The domain includes all real numbers
( , ) . This is due to the continuing nature

24) Ladder against the wall again A 12-ft ladder is leaning against a vertical wall when Jack begins
pulling the foot of the ladder away from the wall at a rate of 0.2 ft/s. What is the configuration of the
ladder at the instant that the vertical speed of

Student: Angela Acosta Instructor: Susan Webber Assignment: Sec. 262
Date: 2/7/16 Course: Tech201 Spring 1 2016
Time: 3:37 PM Book: Washington: Basic Technical
Mathematics with Calculus, lOe
A coffee-table top is designed to be the region between y : 0.

I chose to use f(x) = x2+1 over the interval x=0 and x=6 using the midpoint
Riemann sum using 2 rectangles.
x =
ba
n
=
60
2
=3
Midpoints:
x
( 0+ x 1) 0+3
=
=
2
2
x 01=
1.5
x
( 1+ x 2) 3+6
=
=
2
2
x 12=
4.5
Then I substituted these values into my chosen eq

6.1.13
v ( t )=t 3 5 t 2 +6 t
on 0 t 5
a) Graph the velocity function over the given interval. Then determine when the motion is in the
positive direction and when it is in the negative direction.
b) Find the displacement over the given interval.
c) Find

I am still not getting the problems where you are required to find the magnitude and direction of
velocity, then sketch the curve of velocity and its components. I can solve for the magnitude and
direction, and sketching the curve of velocity makes enough

Find a function f(x) that has the qualities (x)0 on an interval axb>, where the integral of
f(x) exists and you can find it. Please do not use the same functions that have already been
posted by your classmates. Calculate the approximate area under f(x) o

Trigonometric derivatives can be used to determine several different factors relating to the swing
of a wrecking ball. Using the rate of change of the angle of the cable, the speed of the ball when
it strikes the wall can be found. This can also be used t

Great example of angle of velocity. You could probably adapt this equation to find out the force
applied directly to the drivers body, and from that, what kind of recovery he might need. That
and if he needs some type of compression suit to keep him from

Post a thorough response to each question listed below. Be sure to read and respond to your
peers as well. See the SBT Discussion Rubric for how you will be evaluated for this activity.
1. Is every continuous function differentiable? Is every differentiab