Question by maya: CaLCULUS!!?
evaluate
lim (ln(x^50)) / x^100
x->infinity

show full solution please

Best answer:

Answer by Chris
This is a L’Hopital’s Rule question. You can see that normal evaluation gives you ∞/∞ , an indeterminate form.

So first do something that’ll make this easier: change ln(x^50) to 50lnx (logarithmic rules allow you to do this).

You have the limit of 50lnx / x^100 .

Take the derivative of both the top and the bottom (NOT the whole expression):

[50/x] / [100x^99] = 1/2x^100 .

The limit of this expression as x goes to ∞ is more clearly 0.

So your answer is 0.

Add your own answer in the comments!

Calculus students host math tutoring session
Students in a wide range of math classes paid $ 20 to receive a packet of practice problems and could spend up to three hours receiving help from Calculus students. Ruth Moonesinghe coordinated the event, and volunteers from her Calculus AB and BC …
Read more on Tiger Newspaper

In Ads, Learning Problems Get a 'Solution'
The company is “adding services in academic skills,” Mr. Huntington says, like algebra, calculus and science, along with subject tutoring, and is extending its reach to students who are in college. And Huntington, which has offered college-bound …
Read more on New York Times

For Math, Click Calculate
The class, an introduction to calculus, was a requirement for her Ph.D. program in ecology and environmental biology. “We learned how to control the calculator to make it solve the problems, but it doesn't mean I know how to solve the problems or what …
Read more on New York Times

Question by Des: ???CAlculus???
Find all Critical numbers of the function f(x)=(9-x^2)^3/5

Best answer:

Answer by shadowca1964
1 set (9-x^2)^3/5 equal to zero then raise both sides to 5/3 getting (9-x^2)=0 so x=0 at x= +/- 3

Add your own answer in the comments!

Question by bloodninja: Where can I find challenging calculus problems?
I am interested in some challenging calc problems that require some creativity to solve, a stretching of the mind, something like that. Perhaps an insight or two here and there. Such problems were far and few in my Calc I textbook and as I independently study Calc II I am also not finding many of those. The study of calculus has so far been much fun than the study of algebra where one could easily find hundreds of challenging problems on the internet.

Best answer:

Answer by Mαtt
integrate

sq rt(tan(x))

Here are some hints:
it requires 6 separate uses of u-substitution and two separate uses of partial fractions expansion. I’ll be happy to send you the solution if you want.

Calculus isn’t that interesting until you take vector calculus, then you start to see a lot of ideas come together.

Find the area under the curve
1/(2 + cos(x))
from 0 ≤ x ≤ π/2

Give your answer to this question below!

Question by Rukah: CALCULUS!!!!!!!!!!!?
What would you say is that hardest thing to do in Calculus?

Best answer:

Answer by George C
Triple integration, I’m in 3rd year Electrical Engineering and I had to take a course called Calculus III and I failed the exam because of questions like these. But the worst is vector calculus which is just terrible.

What do you think? Answer below!

Finding the equation of the line tangent to a graph at a specific point.
Video Rating: 5 / 5

IMSA BCIII Dr. Matsko
Video Rating: 5 / 5

Article by Dave Antonio

One particular challenge parents have when facing homeschool high school is regardless of whether their curriculum decisions will satisfactorily prepare their students for college. Like several factors pertaining to homeschooling, there is certainly no particular perfect solution for which curriculum a parent should make use of. The decision generally is dependent on the characteristics of their homeschool, the needs of their child, as well as their plans for their child’s education. I think the reason you will discover numerous homeschool curriculum options is simply because there are so many various kinds of homeschoolers!

One of the reasons our family shops at Costco is to refrain from becoming confused by the variety of options. There is generally one house brand as well as one size (HUGE. )#) When we began homeschooling, we felt slightly overwhelmed by the amount of curriculum options available to us as parents.

My strong suggestion is to select curriculum that is made for use by homeschoolers. This style of curriculum isn’t going to assume a specified degree of mastery has been accomplished by the teacher. Picking out this type of curriculum will permit you to learn together with your student (if that is your desire. )#) A secondary advantage with this type of a curriculum might be that it more readily lets your student to teach themselves. Learning how to teach themselves can provide a large benefit for students homeschooling high school. My two boys tackled and mastered high school calculus and physics effectively without having parental guidance. They received the book, answer key, video tutorial, assignment sheet and were instructed “go forth and learn. “

You might believe we shortchanged our kids by not instructing them, however we really did them a huge favor. My boys went into college with a competitive advantage over students who had not discovered this essential skill. Actually, my boys were so comfortable being accountable for their education that they had little problem stepping up to the added college requirements.

Buying the correct curriculum for your high school student calls for thorough planning and much discussion. Make sure that you let your son or daughter play an important part in making their high school curriculum choices. They are the ones who will need to live with these selections therefore it is in your best interest to get them involved. There are no fatal mistakes when it comes to deciding on high school curriculum. That is one of the joys of homeschooling independently – you can always change books in the middle of the term!

Article by Jafern Dero

We generally judge a student’s intelligence based upon his skill and interest in mathematics. None of us is born intelligent and brainy. It is dependent on each one’s curiosity to learn details immediately and quickly. When it comes to mathematics also, precisely the same point issues. And now, when you can be a math lover, then right here is a thing you acquired to know about Calculus.

Calculus is known as a branch of mathematics that discounts with charge of alter, location and volume. By way of example, when you can determine the spot of a rectangle with the algebraic system, then working with a calculus formulation you could calculate the place under any curve. Calculus difficulties could possibly be considered a scary connotation to a lot of individuals, since it has lengthy complicated equations and associations which makes it threatening for a large amount of consumers to acquire the first class with the calculus sequence. Almost all modern physics, economics and also other sciences use calculus for a groundwork. One more difference among algebra and calculus starting up off is that calculus essentially centers all-around learning the best way to do two new operations on capabilities. Calculus I centers all over considered one of these operations, labeled as a derivative. A derivative can be used for your wide array of applications which are outside the scope of our dialogue here, but it surely suffices to understand which they are incredibly beneficial. A majority of Calculus I involves understanding ways to get the derivative of many kinds of functions dependant on distinctive designs, and by the point you might be concluded with Calculus I, there are not several features of a person variable that you simply will not likely be able to consider the derivative of.

Regrettably, calculus can symbolize what is wrong with math education. Some define calculus as “the branch of mathematics that bargains with limits plus the differentiation and integration of features of just one or more variables”. Though this is certainly appropriate, it truly is not very helpful for newcomers. Calculus troubles are theoretical derivatives of Algebra which gives you great options for all quantities that transform with time. Conceptually, Calculus is employed in mathematical problems to find parameters like Slope of the variable, or decided on identity, and the way its level of transform may adjust in excess of time. Nonetheless, the concept of Calculus received its whole form when it absolutely was integrated to get alternatives for functional problems. By way of example, Integral Calculus gave a foundation to Fourier Calculations which consequently played a vital role in area science calculations. The concept of Integral calculus was employed to estimate parameters much like the rate at which the door to the room shuttle can close. Alternatively, differential Calculus had its part in pinpointing the costs of velocity, mass and trajectory of rockets. A person can wonder just what would make Calculus distinct from Algebra. Effectively, right here is a reply. Algebraic calculations and benefits normally include stable and concrete numerals and remedies while Calculus troubles are not so. The concept of Calculus purely specials with abstract values, hypothetical conditions and benefit predictions in an effort to have a grip with regards to the unknown.

While using the miracles of Calculus you may be quite possibly capable to get a distinct suggestion concerning the extremities of any amount like how an equation grows or falls with time, when does it attains the greatest plus the lowest values and then the costs at which the bodily quantities like warmth, velocity and many others improvements with time. Coming towards the close, Calculus is really a mathematical organ of elegance and predictions that will open you new doors of awareness and wisdom if it is actually taken inside a sportive way and it is just a little something like something.