Melody

yes it is

Nice one TJM 

it is asin

YES

in the top corner of the calc it says "scientific" Press that to get the drop down menu.

Matrices are second from the bottom.

pi is circumference divided by the diameter.

difference implies subtract, which is not correct.

The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 2 sin πt + 4 cos πt, where t is measured in seconds. (Round your answers to two decimal places.)

i. [1,2]

$$\\s(1)=2sin(\pi *1)+4cos(\pi *1)\\
s(1)=2sin(\pi)+4cos(\pi)\\
s(1)=0+4*-1\\
s(1)=-4\\\\
\\s(2)=2sin(\pi *2)+4cos(\pi *2)\\
s(2)=2sin(2\pi)+4cos(2\pi)\\
s(2)=0+4*+1\\
s(2)=4\\\\
Average\; velocity=\frac{distance}{time}\\
Average\; velocity=\frac{4--4}{2-1}\\
Average\; velocity=\frac{8}{1}\\
Average\; velocity=8 \;cm/sec$$

ii. [1,1.1]

iii. [1.1.01]

iv. [1.1.001]

(b) Find the instaneous velocity of the particle when t=1

$$\\s=2sin(\pi t)+4cos(\pi t)\\
v(t)=\frac{ds}{dt}=2\pi cos(\pi t)+-4\pi sin(\pi t)\\
v(t)=\frac{ds}{dt}=2\pi cos(\pi t)-4\pi sin(\pi t)\\
v(1)=2\pi cos(\pi*1 )-4\pi sin(\pi *1)\\
v(1)=2\pi *-1 \quad -4\pi *0\\
v(1)=-2\pi \;\;cm/sec\\$$

Hi Vraces - it is good to see you on the forum again :)

Thanks CPhill

I have gone through and given you both points for all your questions and answers.

Both were great.  We want people to be persistent around here.    

Vraces, I think that you may have a problem with factorising. 

If you want help with this you have only to log back on and ask for it. 

I'll show you some examples.

Please try to see that each time I have taken the common factor out the front and left the rest in the brackets.

$$\\\textcolor[rgb]{0,0,1}{6}-0.2*\textcolor[rgb]{0,0,1}{6}\\
=1*\textcolor[rgb]{0,0,1}{6}-0.2*\textcolor[rgb]{0,0,1}{6}\\
=\textcolor[rgb]{0,0,1}{6}(1-0.2)\\
=\textcolor[rgb]{0,0,1}{6}*0.8 \\
= 0.8*\textcolor[rgb]{0,0,1}{6}\\\\\\\\
\textcolor[rgb]{0,0,1}{y}-0.2\textcolor[rgb]{0,0,1}{y}\\
= 1*\textcolor[rgb]{0,0,1}{y}-0.2*\textcolor[rgb]{0,0,1}{y}\\
= \textcolor[rgb]{0,0,1}{y}(1-0.2)\\
=\textcolor[rgb]{0,0,1}{y}*0.8\\
=0.8\textcolor[rgb]{0,0,1}{y}\\\\\\\\
\textcolor[rgb]{0,0,1}{10^x}-0.2*\textcolor[rgb]{0,0,1}{10^x}\\
=1*\textcolor[rgb]{0,0,1}{10^x}-0.2*\textcolor[rgb]{0,0,1}{10^x}\\
=\textcolor[rgb]{0,0,1}{\textcolor[rgb]{0,0,1}{10^x}}(1-0.2)\\
=\textcolor[rgb]{0,0,1}{\textcolor[rgb]{0,0,1}{10^x}}*0.8 \\
= 0.8*\textcolor[rgb]{0,0,1}{10^x}$$

Do you mean 

$$\\6log_3(x-3)=-24\\\\
log_3(x-3)=-4\\\\
3^{log_3(x-3)}=3^{-4}\\\\
x-3=3^{-4}\\\\
x-3=\frac{3^{-4}}{1}\\\\
x-3=\frac{1}{3^{+4}}\\\\
x-3=\frac{1}{81}\\\\
x=3\frac{1}{81}\\\\$$

Give me an example of what you want to factorise and I'll discuss the best way of doing it :)

asin

inverse sign is the same as arc sine