Sandy Beach

How much sand will the tide remove from the beach during this 6 hour period?
You use the equation R(t)=5sin(4piet/25) between the intervals of t=0Write an expression for Y(t), total number of cubic yard of sand on the beach at time t.
This is a new equation now becuase the sand is getting remove by tides but it is also getting sand for the pumping stations. To get the correct anwers u must and S(T) and R(T) like this
Y(t)=[S(t)-R(t)]+2500 becuase it started at 0 with 2500.
Find the rate at which the total amount of sand on the beach is changing at time t=4? By using the equation above your answer would be -1.909 cubic yards per hour.
For 0
Well first you make y(t)=0 the same equation on b which u find your ciritical point. Then am nat sure about the rest.....but u find where the slope is negativ and positive.

Wat the Mean Value Theorem??? Xb

The mean value theorem is when F(c)=F(b)-F(a)/(b-a)

1) In this graph i can show u y this is true using two points like x=0 and 2

F(2)-F(0)/2-0=4-0/2=the slope 2 on the tanget line

2) Now we use the y1-y2=m(x1-x2) using the F(2)=4 we have (2,4) which we plug in the equation

y-4=2(x-2)=y=2x the equation of the secent line

3) Using that we can find wat C is by pluging c into F(x)= to the average slope 2c=2 which equals c=1 showing that at c=1 they have the same slope

Question #2

This equation is continous but nat differentible because at the x slope of a and b is 0 but thier is no point where x is 0 in this equation

Like the second graph

The Mindset vs. Growth Mindset?

The mindset is an intersting thing in wat I learn in "The article Fixed Mindset vs. Growth Mindset: Which One Are You?"by Michael Graham Richard. Where I think were intellegence comes from is the brain. Wow but I think I really have both mindset but maybe mostly the fixed mindset. My mindset has help sometimes but other time when it on fixed mindset it really mess me up. However I know that the brain is just another musle that can be fixed by WORKING IT OUT! So I better go hit the books and work my brain out with some hard math problems!!! ++
W Man that hurts!!!

Inveresd & Logarithms

To find an inverse of any function the x is swith with the y to find the inverse. Where the x was you change to y and the same to the y change to x. That's how you find the inverse in any function. I learn aso that In can be cancel out by using e. Like in this problem In 10^x=5 to find x u use e to both sides which cancels the In leaving the x by it self. Making the final anwers would be x=e^5. But How do I do it when multipling ? Don't know? I learned in class which i didn't know before today but u can tell if it is an inverse if it passes the vertical and horizontal test . I can remember what else i learned in class so that it is.

What?Me

My name is Gustavo H.ernandez. I'm not sure what I'm suppost to write I'm just doing because i have to. My favorite thing to do is playing sports any sport I play I am good at . Chances of beating me is low any time any where. I 'm someone who never give's up in what I'm doing and do my best to achieve in everything. Well that it for now.