Precalc Definition and 57 Threads

This is a pedagogical /time management / bandwidth / tradeoff question, no argument that learning the complex exponential derivation is valuable, but is it a good strategy for preparing for first year Calculus? my 16YO son is taking AP precalc and AP calc next year and doing well, but struggled...

Hi PF, I hope y'all had a great Thanksgiving. Quick question, as I've mentioned before, I am non-traditional college student who is right at just over College Algebra/beginning Trig level in Math. While I am out of university, to make enough money to return, I am wanting to CLEP...

Homework Statement: (cos2A -1)/sinA +sin2A/(cos2A+1)*cosA=__________________ Homework Equations: sin2A=2sinAcosA cos2A+1=cos^2A cos2A-1=sin^2A (cos2A -1)/sinA +sin2A/(cos2A+1)*cosA [cos^2(2A)-1 +2sin^2(A)cos^2(A)]/sinA(cos2A+1) [-sin^2(2A) + 2sin^2(A)cos^2(A)]/sinA(cos2A+1) I can't proceed...

One of my homework questions said "Explain how to obtain f(x)=-(3+x)^2+1 from the graph of y=x^2." I know somehow you need to move the graph right 3, reflect about the x-axis, and move up one, but I don't know how to factor and manipulate the equation to show this.

Hello! I am in 9th grade and I am really interested in physics. I got this book from my uncle on my birthday but it says there is calc in it: https://www.amazon.com/dp/0321973615/?tag=pfamazon01-20 I can't give it back because its disrespectful in my culture. Can I still learn from this, or...

i took calc 2, and am going to take calc 3. My precalc teacher skipped on a lot of topics since the class was falling behind and he assumed most weren't going to take calc 3 anyways. So which topics from precalc are essential for calc3? NOTE: i am on the semester system, which means there are...

Homework Statement My calc class is having me review precalc(which I'm really rusty on...) 21. Find sin θ, sec θ, and cot θ if tan θ = 27 22. Find sin θ, cos θ, and sec θ if cot θ = 4. 23. Find cos 2θ if sin θ = 15 24. Find sin 2θ and cos 2θ if tan θ = √2 25. Find cos θ and tan θ if sin θ =...

There are quite a few pre calc topics that are not used in calc. For example, complex and imaginary numbers. Also, systems of equations why?

Hello, I will be taking calc3 a semester from now. I will take linear algebra this upcoming semester, so i have a bit of time to prepare for calc. what are Precal topics that are essential in calculus 3? reading the class description, it seems more geometric than calc 1 and 2. Also, what are...

I'm developing my own trigonometric function concerning a "real world" problem of my choosing. I decided to go with the orbit of Neptune around the sun. I just don't know how to develop the equation itself, like if it would be sine or cosine? I'm just lost as to where to begin. If anyone can...

Homework Statement http://education.Alberta.ca/media/9451970/07_math30-1_released_2014-15.pdf question #7 Homework Equations a=theta*r The Attempt at a Solution I did a=(5pi/6)*20 but the answer is not A

1. If u=-7i-3j and v=-4i+4j, find w=5u+4v. 2. I'm not sure which equation to use? Test is tomorrow so fast help would be great!The Attempt at a Solution : So my teacher gave us the answer key and it reads: -51i+j and i am not sure how to get that?? Please help![/B]

Hi. I did poorly in HS math due to many reasons, but now I love it and have received ~ 100% on every exam in the past 4 remedial math classes. Next I start cc version of precalc. So lately I've been feeling like my cc is teaching us watered down math. For example, logarithms are not introduced...

Q: The point (0,-1/2) is on the graph of f. If g is a translation of f so that g(x)=f(x+1/2) + 2, then what are the coordinates of the translated point? I got the answer (-1/2, 2) but I'm not sure if that is the correct answer. Thanks!

Homework Statement Let A and B be matrices of the same size. a.) prove the jth column of ## A + B## is ## a_j + b_j ## Homework Equations Where is i? In their question? The Attempt at a Solution What if you did this. ## A= \begin{pmatrix} a_{1j}\\ a_{2j}\\ a_{3j}...

Would these cover all I need to know, all the way up til Calculus (not including Calculus)? aka do they cover Algebra, Geometry, Algebra 2, Trigonometry, and Precalc -- leading me into Calculus? --------------------------------------------------- Algebra 1: Algebra, Gelfand Geometry: Euclid's...

Having a very hard time in my PRECALC CLASS. When they facto problems they start pulling numbers out of numbers that aren't there.. Example.. 3(4x+5)^2 (4)(5x+1)^2 + (4x+5)^3 (2) (5x+1)(5) Professor said this was the answer. a) 2(4x+5)^2(5x+1)[6(5x+1)+5(4x+5)] = b)...

Does anyone know where I might find some learning resources on expansions/compressions of graphs - in particular, taking the compressions/expansions/translations and writing the function? I'm finding this very counter-intuitive and have gone over all the material I have on the subject for the...

Need to create a function in Precalc... Homework Statement Let a be the # corresponding to the first letter of your name in the alphabet. Let b be the # corresponding to the first letter of your last name. Come up with a function f such that f(a)=b and f(b)=a (you need to write the answer as...

Homework Statement Determine the set of positive values of x that satisfy the following inequality: (1/x) - (1/(x-1)) > (1/(x-2)) a) (0, 1) union (2^1/2, 2) b) (0, 1/2) union (1, 2) c) (1/2, 1) union (2^1/2, 2(2^1/2)) d) (0, 2^1/2) union (3/2, 2) e) (1, 2^1/2) union (2, 2(2^1/2))...

Can anyone do the steps to: 4^(1+√2) * 4^(1-√2)? The book says it's 16, but I got 16^-1 steps: foil exponents: that comes out to 1-2 ? Should it not be ? then, just multiply the 4's, or do you add them?

Homework Statement 1. given F(x) = .2x^4 - 2x^2 - 5x find: XMIN, XMAX, YMIN, YMAX 2. Using F(X) find the following: a. Domain b. Range c. List increasing intervals d. List decreasing intervals e. Coordinates of any maximums or minimums I worked it out mostly on paper and can't get that...

Hi, This isn't so much a coursework question, but a 'where to go from here' question. But because I'm not in college, I figured it doesn't really belong in the academic guidance forum. But anyways, on to my question. Currently, I'm finishing up a 5-week precalculus course at a local...

Hi, I'll be beginning my high school sophomore year in August and will be taking Precalc in school, but, because I want to start studying physics seriously, I thought it would be a good idea to take initiative and get a solid foundation in the required math before classes start (an entire...

There are a few 2 year colleges around, anyways, one of them never offers geometry or trig, they just want students to go straight from trig to calculus, but all the other 2 year colleges offer, geometry then college algebra, then trig, then precalc. then calc. What concepts are probably being...

Homework Statement Optimization (Maximize or Minimize) JJCJ=-x +2y according to: A(1,2) B(-1,2) C(-1,-3) Homework Equations The Attempt at a Solution I have taken many advanced math courses and its kind of embarrassing that I don't know how to approach this question :\...

Homework Statement P(4,2)+C(5,3) Homework Equations The Attempt at a Solution I think I'm missing something, P(4,2)= 4P2 and C(5,3)=5C3 ?

URGENT: precalc project amplitude help! Homework Statement I am doing a project for my precalc class which explores the applications of sine waves in real life. I chose to do bat and dolphin echolocation. so far the information i have found online has given me frequency in Hz, length of each...

Find the equation of the line with slope -1 that is tangent to the curve y = 1/(x-1). The equation of a line with slope -1 is y = -x + k The curve is y = 1/(x-1) Set the y-values to each other: 1/(x-1) = -x + k Rearrange and set equal to 0: 1 = -x² + x + k x² - x + 1 – k = 0...

Homework Statement http://img208.imageshack.us/i/sany0213.jpg/ http://img528.imageshack.us/i/sany0214k.jpg/ The Attempt at a Solution I'm completely stumped. No idea how to remove the number in such as the cos2x, ect... Or how to simplify the H/D with the fractions at the bottom, or the...

Homework Statement Rebecca and Tom Payton have decided to buy a home that costs $200,000. The Paytons can put down 20% of the home's price. They have applied for a 15-year, 9% FRM to finance the balance. They Paytons have a combined gross annual income of $70,000. How much will the Paytons...

Homework Statement Janine, a science student, measured the volume of carbon dioxide gas that can be absorbed by one cubic centimeter of charcoal at pressure x. She made the following four sets of measurements: (120, 3.1) (340, 5.5) (534, 7.1) (698, 8.3) Janine finds that the volume, f(x), to...

Here's the deal...I had a really bad precalc teacher in high school. She had a baby a week into the course and we had a generic watch-movies, do crossword puzzles sub for the rest of the year. The class made me unmotivated for math, so I didn't try to learn anything on my own. This year...

Homework Statement The average growth rate of the population of a certain city is 7.5% per year. The city's population is now 22,750 people. What is the expected population in 10 years? Homework Equations I was always taught this formula for exponential growth N(t) = N_0 e^(kt) N...

I'm going to write this up the same way my teacher gave me the sheet Homework Statement At 9am on october 19, 2009 a body was found in room 327 at University Center. The room is kept at a constant temperature of 72 degrees. The medical examiner was called and he arrived in eight minutes...

Hello, I am a first-year math grad student, and I just started teaching two sections of precalc! yikes! So I had a major embarrasing moment during office hours when I told 2 students the wrong answer because I completely forgot about the phenomenon known as "Extraneous roots"! Does anyone...

I've been studying for our final exam throughout this weekend, and I realized that there is a lot that I don't remember. So, instead of asking each individual question, I'm going to try to ask one from each concept that I don't understand. Quite a few of them I have absolutely no idea how to...

http://online.math.uh.edu/Math1330/index.html It's the best free source I've seen. It's the project of grad students and is a comprehensive online text that has everything you'd expect from a textbook. And on top of that, there are streaming lectures.

I am currently a sophomore in high school and am interested in taking precalc this summer. I would prefer a concentrated 3 -4 week residential course at a college or a university or on-line course, because I do not have a license. Any recommendations?

I'm going to be taking a precalculus course in the fall. I'd like to be as prepared as possible for it so that I will be able to get as much out of the class as possible. I have access to a variety of textbooks, some are rather rigourous Precalc texts from the 60s and some are the "modern"...

Does anyone have any recommendations? Here is my plan: My text covers trigonometry, but not analytic geometry. I am interested in learning analytic geometry to increase my confidence for beginning calculus, so the quality of the analytic geometry book is the higher priority. I also...

The terminal side of an angle theta in standard position passes through (-2,-3). What is sec theta? How would you solve this problem without a calculator? Thanks.

I just finished algebra 1 over this summer, pathetic I know. It's the price I got to pay for messing up in high school and taking two years off afterwards. I start Algebra 2 in the fall and I'm going to take PreCalc over winter break. Does anyone recommend any books or materials I can use to...

Scott kicked a football with an initial velocity of 50 ft/sec at an angle of 65 degrees with the horizontal and at a height of 3 feet. Write the equations that would model this situation and answer the following: a) x(t) = _____________ (fill in formula with variable values plugged in) y(t)...

Scott kicked a football with an initial velocity of 50 ft/sec at an angle of 65 degrees with the horizontal and at a height of 3 feet. Write the equations that would model this situation and answer the following: a) x(t) = _____________ (fill in formula with variable values plugged in)...

Alright so currently I'm learning about using zeros of first and second derivites to find relative max and mins in an equation. That stuff is pretty simply. Also we're learning to differentiate equations in relation to a variable that is not in the problem. But, I cannot figure out these...

Skipping Precalc I and taking precalc II? I am in college and we have two parts of precalculus here..part I and part II. i guess precalc I covers the introductory, basics of precalc... i was wondering if i will be okay if i skip precalc I and go to precalc II? i never took precalculus but i DID...

[SOLVED] homework help: precalc Homework Statement solve for the unknown Homework Equations e^(2t+1)=9e^(1-t) The Attempt at a Solution I'm not sure where to start with this guy, I don't see a way to separate the 9 from the e^(1-t)

I'm trying to find where this function increases and decreases: f(x) = = - x^2 - 6x - 8 I can get the vertex (h, k), which works out [by my math] to be (3, -17). I'm just not sure where to go from here to get information like: point of increase and decrease domain and range...

Hi, I need help with the following problem: If f(x)=4-x and the g(x)=1+x^2 find the (g(small circle)f)(-2). Thanks