VCE Methods Question Thread!

[JieSun92]

need help with this question from essentials chapter one review. i have attached a photo 

[b^3]

Hint: You can form a right angle triangle which includes , and the hypotenuse which is the radius of the sphere (not the cylinder, there are two different radii here) of length . That will allow you to get in terms of and then substituting that into the expression for the volume of a cylinder.

[awesomejames]

Omg thank you so much clueless123, sin0001 and b^3 your answers were so good!!! Made me understand the question and how to approach it

Thank you!

[JieSun92]

thanks b^3 

[awesomejames]

Ok this is a bit embarrassing but why did I get a=11 and b=36

I dont how because I use equation 1. -6a + b = -30 and equation 2. 9a - b = 63

And then I did equAtion 1 + equation 2 and solved for a which gave me 11 and then subbed a in equation 1 and got b=36

The answer is a=3 and b=-12

GAHHHHHH WHAT AM I DOING WRONG?!?!?!?

[clueless123]

9a-3b=63

[awesomejames]

9a-3b=63

Legend!!!!

[spectroscopy]

would 58*sqrt3  become 58 * 3^1/2  or would it become 3^1/58
if it becomes 58*3^1/2, then could i simplify that further?
cheers

[Daenerys Targaryen]

Don't think you could bring any further without the calculator

[abcdqdxD]

I noticed on my CAS there is no Loge button. Is the "In(  )" button same as Loge?

[abcdqd]

I noticed on my CAS there is no Loge button. Is the "In(  )" button same as Loge?

yes

[Daenerys Targaryen]

I noticed on my CAS there is no Loge button. Is the "In(  )" button same as Loge?

and its Ln (lowercase L) not In hehe

[pi]

ln stands for "natural logarithm"

[Smiley_]

hi easy question but

A car journey of 300 km lasts 4 h. Part of this journey is on a freeway at an average speed
of 90 km/h. The rest is on country roads at an average speed of 70 km/h.
Let T be the time (in hours) spent on the freeway.
a In terms of T, state the number of hours travelling on country roads.

[Daenerys Targaryen]

3 hours
I just looked at this, didn;t do propper workings
Just went then
and that was four hours max too
so the therefore 3 hours on country roads; 3t