VCE Stuff > VCE Mathematical Methods CAS
VCE Methods Question Thread!
Billuminati:
--- Quote from: beep boop on July 02, 2022, 07:32:12 pm ---Hi All,
Can someone please help me w/ q9 a?
Much appreciated,
beep boop
--- End quote ---
I'm usually rubbish at maths but I'll attempt to answer anyways (see attached screenshot)
PizzaMaster:
Heyy guys,
If we have a question like
x^3 + 5x -10 has only one solution.
The solution lies between what (0 and 1, 1 and 2 etc.) ?
Do we solve it using a calculator and see what the graph looks like, but what if we are not allowed a CAS?
I have just another question
If a question says to find the maximum deviation from x-axis of a cubic graph ie. the height.
Can the deviation mean from both positive and negative side (maximum or minimum).
Thank you!!
hvo-ade:
For the type of question 1, you probably need to use the rational root theorem and/or bisector method. If the equation have a rational root, definitely use the rational roots theorem after using bisector method to locate the possible interval.
For question 2, deviation means both sides.
beep boop :
Hi All,
Can someone please help me with the highlighted parts? I thought for q9 splitting them would work but I couldn't find the right answer. For q10, I found the tangent at the negative x intercept but then I got stuck.
Much appreciated,
beep boop
TnGn74:
Hi beep boop,
I think that you have the right idea for q9.
\[ \int_1^6(f(x)+1)dx = \int_1^4f(x)dx + \int_4^6f(x)dx + \int_1^61dx \]
Question 10 appears to be incompletely copied from the 2021 NHT exam and should read
--- Quote ---The tangent to the graph of f is parallel to the line connecting the negative x-intercept and the y-intercept of f when x is equal to
--- End quote ---
Hope that helps!
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