VCE Maths questions help (1 Viewer)

boredsatan

Member
Joined
Mar 23, 2017
Messages
572
Gender
Male
HSC
1998
1. How to find the turning point and type of turning point in the equation y = (2/3)x^4 + 1/3
2. how to find equation of axis of symmetry of y = (2/3)x^4 + 1/3
 

boredsatan

Member
Joined
Mar 23, 2017
Messages
572
Gender
Male
HSC
1998
Re: maths questions help

2) My book said that the axis of symmetry is x = 0. Maybe my book's wrong?
 

boredsatan

Member
Joined
Mar 23, 2017
Messages
572
Gender
Male
HSC
1998
Re: maths questions help

What's the difference between the turning point and the stationary point of inflection?
 

Green Yoda

Hi Φ
Joined
Mar 28, 2015
Messages
2,859
Gender
Male
HSC
2017
Re: maths questions help

What's the difference between the turning point and the stationary point of inflection?
A point where a function changes from an increasing to a decreasing function or visa-versa is known as a turning point (i.e. gradient =0) However with turning points the concavity remains the same. In a stationary point of inflexion the gradient is 0 but the concavity changes, thus not changing from an increasing to a decreasing function or visa-versa.
 

boredsatan

Member
Joined
Mar 23, 2017
Messages
572
Gender
Male
HSC
1998
Re: maths questions help

A point where a function changes from an increasing to a decreasing function or visa-versa is known as a turning point (i.e. gradient =0) However with turning points the concavity remains the same. In a stationary point of inflexion the gradient is 0 but the concavity changes, thus not changing from an increasing to a decreasing function or visa-versa.
So for x^2, x^4, x^6, x^8, etc, there's a turning point, and for x^3, x^5, x^7, x^9, etc there's a stationary point of inflection?
 

boredsatan

Member
Joined
Mar 23, 2017
Messages
572
Gender
Male
HSC
1998
Re: maths questions help

How hard it to get raw 40 in vce maths methods?
 

boredsatan

Member
Joined
Mar 23, 2017
Messages
572
Gender
Male
HSC
1998
Re: maths questions help

Find the values of m if (2m-3)x^2 + (5m-1)x + (3m-2) = 0 has 2 solutions
 

InteGrand

Well-Known Member
Joined
Dec 11, 2014
Messages
6,109
Gender
Male
HSC
N/A
Re: maths questions help

Find the values of m if (2m-3)x^2 + (5m-1)x + (3m-2) = 0 has 2 solutions


Remember, if the given quadratic equation has two distinct (real) solutions for x, then its discriminant must be greater than zero.
 

boredsatan

Member
Joined
Mar 23, 2017
Messages
572
Gender
Male
HSC
1998
Re: maths questions help



Remember, if the given quadratic equation has two distinct (real) solutions for x, then its discriminant must be greater than zero.
I ended up getting 25m^2 - 10m + 1 - 4(6m^2 - 13m + 6)
= 25m^2 - 10m + 1 - 24m^2 + 52m - 24
= m^2 + 42m - 23 > 0
 

boredsatan

Member
Joined
Mar 23, 2017
Messages
572
Gender
Male
HSC
1998
Re: maths questions help

A piece of wire 12 cm long is cut into two pieces. One piece is used to form a square shape and the other a rectangle shape in which the length is twice the width.
a. If x cm is the side length of the square, write down the dimensions of the rectangle in terms of x
b. formulate a rule for A, the combined area of the square and rectangle in cm^2, in terms of x.
c. determine the lengths of the two pieces if the sum of the areas is to be a minimum.
 

boredsatan

Member
Joined
Mar 23, 2017
Messages
572
Gender
Male
HSC
1998
Re: maths questions help

Is it normal to find maths hard even after tution? I'm in this scenario
 

boredsatan

Member
Joined
Mar 23, 2017
Messages
572
Gender
Male
HSC
1998
Re: maths questions help

The graph of y = x^4 - 2x - 12 has 2 x-intercepts
a. construct a table of values for this polynomial rule for x = -3,-2,-1,0,1,2,3
b. Hence state an exact solution to the equation x^4 - 2x - 12 = 0
c. State an interval within which the other root of the equation lies and use the methods of bisection to obtain an estimate of this root correct to 1 decimal place

I get how to do part a and b, but i'm finding part c extremely challenging and confusing.
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top