Confused guy

Early Monday morning, the temperature of a lecture hall has fallento 40 degrees F, the same temperature as the outside. At 7:00 AMthe janitor turns on the furnace with the thermostat set at 70degrees F. The time constant for the building is 1/K = 2 hr andthat for the building along with the heating system is 1/K1 = 1/2hr. Assuming the outside temperature remains constant, what will bethe temperature inside the lecture hall at 8:00 AM? When will thetemperature inside the lecture hall reach 65 degrees F?

Having a ton of problems with this one single problem. Help would be much appreciated with how it is worked out.

(3x^2-y^2) dx + (xy-x^3y^(-1)) = 0

Having a ton of problems with this one single problem. Help would be much appreciated with how it is worked out.

(3x^2-y^2) dx + (xy-x^3y^(-1)) = 0

Need some help here solving (x^2+y^2)dx + (6xy) dy = 0

I keep getting the wrong answer apparently, here is my work.

https://docs.google.com/viewer?a=v&pid=explorer&ch...

OGIxMmFl&hl=en_US

Just copy/paste to view the google doc

Im having trouble using an integrating factor on this equation. (3xy)dx + (y^2+9x^2)dy=0

I find one that 5/y, but it still doesnt make the equation exact. Any help pleasE?

I need to solve (1-x^2)dy/dx-x^2y = (1+x)sqrt(1-x^2)

I am having plenty of trouble unfortunately. I have some work here. I'm pretty sure I went wrong somewhere, just cant find it.

Here is my work on google docs, you don't need to sign in or anything to view it.

https://docs.google.com/viewer?a=v&pid=explorer&ch...

me=true&srcid=0B1bnMNmwLoTc

YTc0N2Q4ZDgtMTA1My00ODJiLThjZWMtMmViMj

Q5ZTFhZjJm&hl=en_US

Just copy/paste

I need to solve (1-x^2)dy/dx-x^2y = (1+x)sqrt(1-x^2)

I am having plenty of trouble unfortunately. I have some work here. I'm pretty sure I went wrong somewhere, just cant find it.

Here is my work on google docs, you don't need to sign in or anything to view it.

https://docs.google.com/viewer?a=v&pid=explorer&ch...

me=true&srcid=0B1bnMNmwLoTc

YTc0N2Q4ZDgtMTA1My00ODJiLThjZWMtMmViMj

Q5ZTFhZjJm&hl=en_US

Just copy/paste

I am having some trouble figuring out some of these equations. I can't seem to fully separate them apart and always run into problems. Can you please explain how to answer these? C &D are initial value problems used to find C. In the first two, just denote that integration constant as C.

A) x dv/dx = (5-9v^2)/(3v)

B) (7x^5+x^5y^2)dx + e^(x^(6))y dy = 0

C) dy/dx = (1+y^2)tan(x) ------Y(0)=1

D) dy/dx = (3x^2+8x+2)/(2y+2) ----Y(0)=-2

please look at the following and provide some constructive criticism. This is an application statement for a lab position in college.

In the space below, please write a personal statement of approximately one page. Topics to cover might include: why you want to do research, what field(s) you are most interested in, why you want to work with a BIO5 faculty member, what your future plans are, etc.

I would like to gain experience in research because it is something I am interested in, and want to discover exactly what it is I want to do in my future. I know that I love science and its practices, and I want to get some hands-on experience in an actual research lab.

I want to conduct research in fields such as virology, which I find extremely intriguing and most definitely makes me curious as to how specific foreign bodies react with our immune system, what chemical processes are involved, and what there is that we, as researchers, can do to defend our bodies. All the ideas, processes, and obstacles facing defense against them are quite appealing and something I would like to explore. I want to get my hands on some lab tools, and see for myself how these things happen on a biological level.

I am also aware of other fields out there, not necessarily research, but fields which require lab equipment commonly used in research. A field such as forensics is something that is observed on a small scale, using the above mentions tools. It requires critical thinking and putting puzzle pieces together without knowing what the end result looks like. It is something I would like to do, put these pieces together, whether in a criminal case, or the biology of a virus/ health disorder.

Working with a BIO5 member would help on the personal level, being able to discuss how they got there, how they feel about the subject and their job. It provides me with someone that I can ask questions and get help from. Many of the faculty members know what it is like to be an undergraduate seeking experience in a lab, and it is something I want to be a part of. They know where I am coming from and understand my confusion.

I am still unsure about my future plans after graduation, which is why I want to be a part of this program. I want to make sure that this is something I want to continue on with and make a career out of it, based on first hand lab experience.

Need some help with this study guide please.

Integral (3y^3+5y-1)/(y^3+y)

I get as far as long division to get Integral (3y^3+5y-1)/(y^3+y) = integral 3+ (2y-1)/(y^3+y) and splitting the second part up into (A)/(y) +(By+C)/(y^2+1). Im having trouble finding A,B and C. Can you guys please help a fellow out?

what is the radius of covergence for sum (n=0 to infinity) 2^n * x^(2n)

I figured this out to be sqrt(1/2), but how do I test the endpoints for convergence.

Yes, I did and I take full responsibility for it. I did two burnouts at u-turns. One right after the other. Then I got pulled over and slammed with this.

My questions is, can I take defensive driving classes for this to get the points removed? What could my fines/jail time/license status go about depending on the judge.

I have had a few speeding tickets but that's about it. Nothing criminal.

using these parts of the heart, put them in order starting with the vena cava.

Aorta

Pulmonary Arterioles

Left Ventricle

Right Atrium

Vena Cava

Alveolar (lung) Capillaries

Systemic Veins

Systemic Venules

Pulmonary Venules

Pulmonary Veins

Systemic Capillaries

Pulmonary Arteries

Systemic Arterioles

Left Atrium

Systemic Arteries

Right Ventricle

find the arclength of the curve sqrt(4-x^2) from 0 to 2.

To set this up, i take the derivative and use the arc length equation. For the derivative, i get -x/sqrt(4-x^2). But when I can work out the integral correctly. When I do i end up dividing my zero because of the upper limit of integration. sqrt(4-x^2) @x=2 it will be 0.

I need help ive hit a dead end.

If we assume that wind resistance is proportional to velocity, then the downward velocity, v, of a body of

mass m falling vertically is given by v = mg/k(1-e^(-kt/m)

where g is the acceeration due to gravity and k is a constnt. find the height, h, as a function of time. Assume the body starts at t0.

I've gotten as far as integrating it to get h(t). But I don't know if that's all I need to do. It seems there is something I need to do with h0.

i got h(t) = mg/k(t+(me^(-kt/m)/k)) + C

What do I do next?

Let f be a function with a continuous second derivative, f(0) = 10, f(1) = 9, and f '(1) = 9. Evaluate the integral below.

int from 0 to 1 x f ''(x) dx

I need to solve in integral of sin^2(x) using Integration by parts - not using the trig identity.

help please with explainations

The average value of y = v(x) equals 5 for 1 ≤ x ≤ 3, and equals 14 for 3 ≤ x ≤ 10.

What is the average value of v(x) for 1 ≤ x ≤ 10?

How do i do this? I'm confused =\

find a formula for the following:

A curve of the form y = e^(-(x - a)^2)/b for b > 0 with a local maximum at x = 32 and points of inflection at x = 36 and x = 28.

Can you guys please help me with this giving steps.

of f(x)=axe^(bx)

I need to find a and b, given there is a maximun at 12,36