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Thanks bob bundy!

In Q1,using integration, I got the same answer as when I plugged in the values in the position function you gave but could you still

check my solution for any flaw?

Here it is:

v(t)=-10t+C*

s(t)=-5t²+C*t+C**

Given that speed=10 and since speed=absolute value of velocity, v=-10

v(0)=-10t+C*=-10

C*=-10

s(t)=-5t²-10t+C**

but s(3)=0

C**=75

s(t)=-5t²-10t+75

s(0)-s(3)=75

**295Ja**- Replies: 3

Hi! Help please.

Problem 1:

A ball was thrown downward from the top of a building at a speed of 10 meters per

second and it hit the ground 3 seconds later. How tall was the building? [Note: Use

-10 m/s² for acceleration due to gravity.]

>>Here's what I think I should do:

1. Find the velocity then position functions

Here's what I got:

Velocity Function:

v(t)=-10t+C*

Position Function:

s(t)=-5t²+C*t+C**

[Note: C*=constant after integrating a(t) and C**= constant after integrating v(t)]

2.Find the value of C* and C**

My question: is it right to use these: v(3)=0 and s(3)=0 to find them?

3.Evaluate s(0)-s(3)

Problem 2

The base of a solid S is the region bounded by y =square root of (16-x²) and the x-axis, and each

cross-section perpendicular to the x-axis is an isosceles right triangle having one leg on

the base of S. Using the method of slicing, determine the volume of S.

>>I have a hard time with this problem. A help on visualizing the figure and/or setting-up the integral that will give the volume would do.

Thank you!

**295Ja**- Replies: 0

Hi!

Could you give me a subset of the Real line which is not in Borel but is in the power set to prove that Borel field is not the power set of R?

Thanks in advance!

Hi stefy! Just want to say thanks!

I tried to read about the L'Hopital's rule but I found out that for me to use that rule, I need to learn to evaluate derivatives.I must agree that the with the use of the rule, the solution would be simpler but may I ask for a solution without using that rule? It is because we are not yet on derivatives and I think the purpose of the problem, being included in the practice exercises of the topic that introduces limits, is for us to be able to master the basic theorems about limits that we had just learned.

**295Ja**- Replies: 7

Hi! Please, help me with this one:

Evaluate the limit of (3-x)/(3-(sqrt of (6x-x²)) as x approaches 3 from the left.

What I did was this: I substitute 3 and found out that what I have is an indeterminate form of type 0/0. I then tried rationalizing the denominator but after it, I still arrived at the the same indeterminate form.

If what I did was right, please let me know the next step to solve the problem. If not, I'd like to ask for the right solution. I'll be waiting for replies then. Thanks in advance!

Thanks everyone! You guys are so cool!

Hello anonimnystefy! It's been a long time! I just want to keep my promise to you...

I just got the result of my exam earlier this day.

I didn't got the perfect score due to carelessness but anyway, I still passed. Better luck next time, I guess.

Have a great day!

Thanks! I'll let you know.

Hi anonimnystefy!

We had a long exam in math.

How about you? Do you still have classes later?

Thank you noelevans

I'll tell my brother about the Death note's manga.

I'm sorry cause I'm about to log-out now. Its because I'm going to prepare for my class later. It's been nice knowing more of you!

Bye-bye for now and until next time!

Have a great day ahead!

anonimnystefy I'm not sure if my avatar is a manga character.

I hope so!:D

Thank you again! I guess I'll be thanking you guys a lot of times more in the near future.

Thank you bob bundy,bobbym and anonimnystefy!

Ok. Thank you!

anonimnystefy: that's exactly what I want. Thank you!

x/is part of:

/8-x/ (absolute value of 8-x)

then 2 is added to /8-x/

**295Ja**- Replies: 51

Hello everyone!Please give me ideas on how should I solve problems like this one:

3/8-x/+2<7-2/x-8/

Thanks