Saturday

November 28, 2015
Number of results: 3,485

**advanced functions/precalculus**

1. The function f(x) = (2x + 3)^7 is the composition of two functions, g(x) and h(x). Find at least two different pairs of functions g(x) and h(x) such that f(x) = g(h(x)). 2. Give an example of two functions that satisfy the following conditions: - one has 2 zeros - one has ...
*January 15, 2014 by Diane*

**Advanced Functions**

Beginning with the function f(x) = (0.8)x, state what transformations were used on this to obtain the functions given below: g(x) = - (0.8)x -2 h(x) = ½ (0.8)x-2 k(x) = (0.8)-3x+9
*January 12, 2011 by Hailey*

**math-advanced functions**

on my exam review, i have this question for composition of functions Given f(x)=3x^2+x-1, g(x)=2cos(x), determine the values of x when f(g(x))=1 for 0≤x≤2π.
*January 23, 2014 by Liz*

**Check my CALCULUS answers please! **

Any short explanation for things I got wrong would be great, too, if possible! Thanks in advanced! :) 8. Which of the following functions grows the fastest? ***b(t)=t^4-3t+9 f(t)=2^t-t^3 h(t)=5^t+t^5 c(t)=sqrt(t^2-5t) d(t)=(1.1)^t 9. Which of the following functions grows the ...
*October 7, 2013 by Samantha*

**Advanced functions/precalculus**

1. Given f(x)=x^2 and g(x)=x+2, determine in standard form: a) g(f(x)) b) when f(g(x))=g(f(x)) 2. If f = {(-10, 1), (-1, -1), (10, 0), (11, 7)} and g = {(-1, -1), (0, 10), (1, -10), (7, 11)} for how many values of x is f x g defined? Explain 3. Given f(x) = -2x + 3 and g(x) = ...
*January 15, 2014 by Diane*

**advanced functions. gr.12**

2^2x+ 3(2^x) - 10 = 0 6^2x-2(6^x)-15=0 3^4^5^x =336
*August 11, 2009 by ashley*

**Advanced functions**

Solve: a) 1/(2^x) = 1/(x+2) b) 1/(2^x) > 1/(x^2)
*October 25, 2009 by Anonymous*

**Advanced Functions**

Solve: (1/2^x) > (1/x^2)
*October 25, 2009 by Anonymous*

**Advanced Functions 2**

How do you simplify (x^a+b)^a-b / (x^a-2b) ^ a+2b
*November 1, 2010 by Ali*

**advanced functions/precalculus**

1. Given f(x)=x^2 and g(x)=x+2, determine in standard form: a)g(f(x)) b)when f(g(x))=g(f(x)) for #1 would the answer for a be x^2+2? 2. Given the functions f(x)=5x+7 and g(x)=√x state the domain of g(x) and g(f(x)) 3. Why is point (a,a) a point on f-1(f(x)) if (a,b) is a...
*January 13, 2014 by Diane*

**advanced functions**

Solve for x, x ϵ R a) (x + 1)(x – 2)(x – 4)2 > 0
*July 5, 2013 by FUNCTIONS*

**advanced functions**

Prove that: csc^2x = 1 + cot^2x
*November 4, 2009 by ariza*

**advanced functions**

Solve 2tan^2x + 1 = 0 Interval : [0, 2 pi]
*November 15, 2009 by -*

**math(advanced functions)**

what are the key features of x/(x^2-3x+2)?
*November 4, 2011 by hi*

**math(advanced functions)**

what are the key features of x/(x^2-3x+2)?
*November 4, 2011 by hi*

**Advanced functions**

Solve x^3 -3x^2 +5x +4 = 0 using Tartaglia's method.
*October 25, 2009 by josh*

**Advanced functions**

Solve x^3 -3x^2 +5x +4 = 0 using Tartaglia's method.
*October 25, 2009 by josh*

**Advanced Functions**

How do you write -1/9 x^-1 with a positive exponent? also, -5 x^-2 ??
*November 1, 2010 by Ali*

**advanced functions**

Solve for x, x ϵ R ¨Cx3 + 25x ¡Ü 0
*July 5, 2013 by FUNCTIONS*

**advanced functions**

Prove that cscx / cosx = tanx + cotx
*November 7, 2009 by ariza*

**advanced functions**

Solve the inequality 12x^3 + 8x^2 <= 3x + 2. Justify your answer.
*October 20, 2013 by Rinchan*

**advanced functions**

The revenue and cost functions for the housing developer are: C(n) = 8 + 0.065n R(n) = 1.6 √n Suppose that the developer found a way to reduce her variable cost to $58 000 per house. How would this affect: i) the minimum and maximum number of houses she could build? ii) ...
*January 11, 2010 by Anonymous*

**Advanced Functions**

Determine the value of Tan2x when Sinx = -12/13 and 3pi/2 < x < 2pi.
*January 14, 2009 by Lisa*

**12th grade-Advanced functions**

Given that f(x)=g(x/3), describe how the graph of f and g are related?
*July 30, 2010 by aaron*

**12th grade-Advanced functions**

the y-intercept of the graph of y=k(x-1)(x-2)(x-3) is 24 Determine the value of k.
*July 30, 2010 by aaron*

**Grade 12 Advanced Functions**

The polynomial 2x^3+px^2-x+6 has a remainder of zero when divided by x-2. Calculate p.
*October 13, 2011 by Rebecca*

**gr 12. advanced functions **

Trig identity Prove: cos2x tan(pie/4 - x) ------- = 1 + sin2x
*November 21, 2009 by avm*

**Advanced Functions**

Identify the point of intersection of these two curves: P(t)=300(1.05)^t F(t)=1000(0.92)^t
*January 4, 2010 by Anonymous*

**advanced functions**

simplify the rational expression x^4+3x^3-2x^2-6x/x^3-2x stating all restrictions on the variable.
*July 30, 2010 by tim*

**Advanced functions**

If cos A= -6/7, in quadrant 2, determine the exact value of tan 2A I don't understand how to do this?
*March 22, 2015 by Jennifer*

**advanced functions**

Find an equation with the given form in each case below. y=sin through(Ï/2, 0)
*January 21, 2008 by Mel*

**science**

Are multi cellular organisma more advanced that unicellular organisma. Why or why not Mutlicellular organisms have cells that have specialized in various functions. Would you call that more advanced? Since this is not my area of expertise, I searched Google under the key words...
*October 4, 2006 by sharon*

**12th grade-Advanced functions**

Determine the instantaneous rate of change of y=tanx at x=1 to 3 decimal places
*July 30, 2010 by sean*

**math advanced functions grade 12**

Find the solution set to the following rational inequality, 240/x+8 > 20x/x+1
*July 24, 2012 by illiah*

**Advanced Functions**

How do I verify this identity? (I've tried a lot but it's just not working) (sin2x + sin2y) = 2sin(x+y)cos(x-y)
*January 17, 2013 by Zack*

**Advanced Functions**

Prove (sin4x)/(1-cos4x) = cotx - 1/2(cscxsecx) Please help me get started on this question... I'm at a lost as for what to do first....
*April 30, 2015 by Sarah*

**advanced functions**

Use the Pythagorean Identify to show that the double angle formula for cosine can be written as: cos2x = 2cos^2x - 1
*November 2, 2009 by Anonymous*

**advanced functions**

Determine approximate solutions for this equation in the interval x is all real numbers [0, 2pi), to the nearest hundredth of a radian: cosx + 0.75 = 0
*November 13, 2009 by -*

**advanced functions(trig)**

solve for x, to the nearest degree, in the interval 0degres less than andequal to x greater than and equal to 360degrees. cos^2x=1 4cos^2x=1
*January 5, 2010 by 123university*

**Advanced Functions**

If a bacteria population doubles in 7 days, when was it half of its present population?
*January 12, 2011 by Nik*

**Advanced Functions/Trig**

Prove the identity: cos^4 x + sin^4 x = 1 - (1/2)sin^2 (2x)
*May 5, 2013 by Zack*

**Grade 12 Advanced Functions**

One zero of f(x)=x^3+4x^2+x+c is -3. a) calculate the value of c. b)calculate the other zeros.
*October 13, 2011 by Rebecca*

**advanced functions **

Show that tanx = sinx / cosx can be written as tan(x+y) = (tanx + tany) / (1 - tanxtany)
*November 8, 2009 by -*

**Advanced Functions math**

Could someone help me with this question? 5^(2x) - 4^(5^x) = 12 I got up to log (5^x)= log(-4) but it isnt correct since it can't be negative.
*January 18, 2010 by Diana*

**12th grade-Advanced functions**

provide any 2 solutions for the equation y=cot(1/2(theta-pi/2))-5 solutions may be in degrees
*July 19, 2010 by aaron*

**ADVANCED FUNCTIONS**

What is the domain of the composite function of f(x)=x^2 and g(x)=sin x when (g o f)(x) and (f o g)(x)?? when i joined the two function it looks the same to me..
*June 10, 2013 by Anonymous*

**Calculus**

We're learning about different kinds of functions and I don't really understand the difference between rational and algebraic functions. I know that rational functions are functions that are a ratio of two polynomials, and algebraic functions are any functions that can be made...
*September 13, 2007 by Kelly*

**Advanced Functions**

how do i solve this linear inequality equation x+2 divided by 2 greater than/equal to x-2 divided by 4 answer is [-10, infinity)
*August 5, 2011 by Anonymous*

**12th grade-Advanced functions**

Determine the vertical asymptotes of the graph of graph of y=secx/logx for x≤2pi
*July 30, 2010 by aaron*

**advanced functions**

Prove that: 2sinxsiny = cos(x-y) - cos(x+y)
*November 8, 2009 by -*

**Advanced Functions**

Determine the solutions for: (cos x)/(1 + sinx) + (1 + sinx)/(cosx) = 2 in the interval x is all real numbers, such that [-2 pi, 2pi]
*November 20, 2009 by Anonymous*

**Advanced Functions**

Determine all solutions in the interval x is all real numbers , [0, 2 pi] using a trigonometric identify 2cos^2x + sinx - 1 = 0
*November 22, 2009 by Anonymous*

**Advanced Functions**

The earth rotates on its axis once every 24 hours. How long does it take Earth to rotate through an angle of 4(pi)/3?
*November 14, 2011 by Rebecca*

**Advanced Functions**

A rectangle has perimeter 64cm and area 23cm squared. Solve the following system of equations to find the rectangle's dimensions. l=(23/w) l+w=32
*October 24, 2009 by Anonymous*

**advanced functions**

Use the Pythagorean identity to show that the double angle formula for cosine can be written as a) cos2x = 1 - 2sin^2x b) cos2x = 2cos^2x - 1
*November 2, 2009 by Anonymous*

**advanced functions**

An investment pays 8% interest, compounded annualy. Write an ewuatiin that expressed the amount A, of the investment as a function of time, t, in years
*November 27, 2009 by Anonymous*

**Math-Advanced Functions**

I am having trouble figuring out how to solve this logarithms. Could someone please help! log2(log4x)=1 and solve for x and y: (1/2)^x+y= 16 logx-y8=-3
*January 23, 2011 by Chloe*

**advanced functions**

A generator produces electrical power, P, in watts, according to the function P(R)=(120R)/(0.4+R)^2, where R is the resistance, in ohms. Determine the intervals on which the power is increasing.
*October 25, 2009 by Anonymous*

**advanced functions**

I need help figuring this question out please :) log2=log(x+5)-1 I have been studying for my test and this is a question i got stuck on.
*May 25, 2011 by oranges*

**Advanced Functions**

Determine an expression using trigonometric ratios of special angles that simplifies to an answer of sqrt3/2. Use three different angles.
*November 19, 2013 by Sara*

**12th grade Advanced Functions**

A generator produces electrical power, P, in watts, according to the function: P(R)= 120/ (0.4 + R)^2 where R is the resistance, in ohms. Determine the intervals on which the power is increasing.
*October 25, 2009 by Anonymous*

**Math**

So I have a question regarding advanced functions, logarithm stuff. here is the question: Beginning with the function f(x) = log[base(a)]x ,state what transformations were used on this to obtain the functions given below: a) p(x) = -(5/8) log [base(a)]x b) r(x) = log[base(a)](...
*April 7, 2013 by Matthew*

**Advanced Calculus 2**

Construct an example of two Riemann integrable functions whose composition is not Riemann integrable.
*June 8, 2011 by Ashley*

**advanced functions grd 12**

im not sure wheer to start and how to do solve this problem solve: cosX(2sinX-3^1/2)=0 ,0<(or equal to)X<(or equal to)2(pie sign)
*May 8, 2012 by kerry*

**Advanced functions**

if a car is moving at some speed and then goes twice as far, would the braking distance be twice as far? yes or no? explain
*September 29, 2015 by Gabriella*

**12th grade - Advanced Functions**

the height, h, in meters, of a gold ball t seconds after is is hit can be modelled by the function: h (t) = 4.9t^2 + 32t + 0.2. When is the height of the ball 15 m?
*July 19, 2010 by Nish*

**Advanced Functions**

Consider the trig equation: 4sinxcos2x + 4cosxsin2x - 1 = 0 in the Interval [0, 2 pi] Either show that there is no solution to the equation in this domain, or determine the smallest possible solution.
*November 16, 2009 by Anonymous*

**Advise**

Ok, I am going to grade 12 and my university requires a 90% for advanced functions. In grade 11, I got a 78% with no tutoring. Is there who is willing to help me free of cost for tutoring or even websites that would help me.
*September 3, 2010 by prethy*

**Math**

Can someone please help me with piecewise functions. I know what they are but when it gets to advanced i have ttrouble. s(x)= /x-2/ + /x-3/ + /x+1/ (/ / = 'modulus') Write as a piecewise defined function. Have no idea tbh. Thanks
*June 1, 2015 by Alex*

**Advanced Functions**

What are the restrictions on the variable x in the following equation? Why do these restrictions exist? log(x-2)-log(3x-5)=5 Thanks for your help :-)
*December 21, 2011 by Rebecca*

**advanced functions**

Marko rides 10 km north of his home on his mountain bike. He reaches an abandoned railroad, turns through an angle of 120° onto the railroad, and then rides another 20 km.
*January 31, 2015 by Juhi*

**Advanced Functions/Trig**

Prove the following: sin(x+y)sin(x-y) = cos^2 (y) - cos^2 (x)
*April 21, 2013 by Zack*

**Advanced writing**

what is the technical element to write to be advanced?
*January 8, 2009 by Noble*

**Early Childhood**

A preschooler with a vocabulary of about 4,000 words would be considered: A. a slow developer. B. advanced. C. very advanced.
*February 19, 2015 by cynthia *

**Math**

Can you check my work and tell me if I did anything wrong? 1. With the functions: f(x) = x^2 + 3x and g(x) = -3 + x what is f(x) + g(x)? Answer: x^2 + 4x - 3 2. With the functions: f(x) = x + 4 and g(x) = x -3 what is (f*g)(x)? Answer: x^2 + x - 12 3. With the functions: f(x...
*January 26, 2015 by Jenny*

**Advanced Functions**

How would I do this: -cos(90-x) I know you would use the compound angle formula and I know how to do it but when you have -cos do you replace the cos with the negative? so for example -cos90(-cosx) + sinx(sin90)
*November 14, 2015 by Mandy*

**Early Childhood**

A preschooler with a vocabulary of about 4,000 words would be considered: a)a slow developer. b)advanced. c) very advanced. d) moderately delayed.
*August 30, 2011 by SherryOG*

**University**

Will I get a conditional offer to McMaster in the first round? The following is the admission for Commerce I to McMaster: "Grade 12 U/M course requirements: * English U * Advanced Functions 4U * One of: Calculus & Vectors 4U or Mathematics of Data Management 4U (additional ...
*January 31, 2008 by Anonymous*

**Advanced Functions**

Two soccer players start at opposite sides of an 80-m field. One runs at 4 m/s and the other runs at 5 m/s. If they run back and forth for 15 mins, how many times will they pass each other? **The answer is 25 but I keep getting 45!!
*September 25, 2012 by laura*

**Functions in Math**

Im looking at internet sites and Im not quite understanding functions. I have a question like; A function f(x) has the properties i) f(1) = 1 ii) f(2x) = 4f(x)+6 Could you help me out. I know nothing about functions.
*October 15, 2007 by Lena*

**advanced functions **

Angles x and y are located in the first quadrant such that sinx=3/5 and cosy=5/13. a) Determine an exact value for cosx. b) Determine an exact value for siny.
*November 1, 2009 by Anonymous*

**Advanced Functions/ Precalculus Log**

If (x, y) is on the graph f(x) = log(base10)x, state the coordinates (in terms of x and y) that would be on the graph of f(x) = 2log(base10)(x - 4) + 3? Can you please explain how to answer this question? Thanks!
*December 20, 2013 by Jessie*

**advanced functions**

=the height in metres of a weather ballon above the ground after t seconds can be modelled by the function h(t)=-2t^3+3t^2+149, for 0<t<10. when is the ballon exactly 980 m above the ground?
*February 20, 2014 by lisa*

**advanced functions**

Angle a lies in the second quadrant and sina=7/25. a) Determine an exact value for cos 2a b) Determine an exact value for sin 2a
*November 2, 2009 by Anonymous*

**advanced functions**

Prove that 2sinxsiny = cos(x-y) - cos(x+y) Prove that sin2x + sin2y = 2sin(x+y)cos(x-y)
*November 4, 2009 by ariza*

**advanced functions**

solve the first equation in each pair of equations or y and /or z. Then use the same strategy to solve the second equation for x in the interval 0<= x<= 2pie. y^2= 1/3, tan^2x = 1/3 yz= y, tan x sec x = tanx
*January 5, 2010 by 123university*

**Advanced Functions Math **

Given the equation y=2^x, predict the equation for the graph that has been reflected in the y-axis. Given a vertical stretch by a factor of 5, translated 2 units right and 5 units down
*January 29, 2011 by Sarah *

**advanced functions-logarithms**

log(base 10)(x+5)+2log(base10) log(base10)(x+5(10 to the 2nd power) log(base10)(100x+500) I love you china.
*March 7, 2007 by daniel*

**Jee advanced**

I got 20 days left for jee advanced. How should I manage time table for preparation
*May 5, 2015 by JD*

**Advanced Functions/Precalculus**

1. The expression sinπ is equal to 0, while the expression 1/cscπ is undefined. Why is sinø=1/cscø still an identity? 2. Prove cos(ø + π/2)= - sin ø
*December 6, 2013 by john*

**Advanced Functions/Precalculus**

Trigonometry Questions 1.) Find the exaqct value of tan(11π/12) 2.) A linear trig equation involving cosx has a solution of π/6. Name three other possible solutions 3) Solve 10cosx=-7 where 0≤x≤2π
*December 4, 2013 by john*

**Advanced Functions**

x and y represent two angles in standard position. x has its terminal arm in the first quadrant and y has its terminal arm in the third quadrant. If cosx=5/13 and cosy = -5/13 then find the value of 2sinx+2siny+2cosx-2tanx+tany+2cosy
*November 19, 2013 by Sara*

**advanced functions**

The manufacturer of a propeller for a small aircraft mandates a maximum operating angular velocity of 300 rad/s. Determine whether it is safe to install this propeller on an aircraft whose engine is expected to run at a maximum of 2800 rpm.
*November 8, 2009 by -*

**advanced Functions/ Precalculus Log**

1. If (x, y) is on the graph f(x) = log(base10)x, state the coordinates (in terms of x and y) that would be on the graph of f(x) = 2log(base10)(x - 4) + 3? 2. Estimate the value of log(base 3)91 Can you please explain how you arrive at the answer since I do't understand them. ...
*December 20, 2013 by Jessie*

**Math**

The beginning tennis class has twice as many students as the advanced class. The intermediate class has three more students than the advanced class. How many students are in the advanced class if the total enrollment for the three tennis classes is 39? A. 10 B. 15 C. 9 D. 12 ...
*March 22, 2013 by Amy*

**Algebra**

Use composition of functions to show that the functions f(x) = 5x + 7 and g(x)= 1/5x-7/5 are inverse functions. That is, carefully show that (fog)(x)= x and (gof)(x)= x.
*July 29, 2009 by Alicia*

**Math grade 12 Advanced Functions**

A company uses the function C(x)=20.50+2000, where C is the cost and x is the number of units it produces, to determine its daily costs. Find the inverse of the function and determine how many units are produced when the cost is $625,000.
*January 25, 2013 by Anonymous*

**advanced functions**

the height in meters, of a passenger on a Ferris wheel is given by the function h(t)=11-10cos(0.1pit), where t is the time in seconds. How long will it take a passenger to reach a height of 5 meters the first time? Express your answer to 3 decimal places.
*July 30, 2010 by tim*

**Calculus**

Find the sum and difference functions f + g and f – g for the functions given. f(x) = 2x + 6 and g(x) = 2x - 6 f(x) = x^2 - x and g(x) = -3x + 1 f(x) = 3x^3 - 4 and g(x) = -x^2 + 3 State the domain and range for the sum and difference functions in #3. Find the product and the ...
*September 2, 2013 by Bee*

**Composite Functions**

Find the composite functions for the given functions. (6 marks) f(x) = 4x + 1 and g(x) = x2 f(x) = sin x and g(x) = x2 - x + 1 f(x) = 10x and g(x) = log x
*January 19, 2013 by Anonymous*