Answer:
see below
Step-by-step explanation:
a(t)=t^(1/2)−t^(−1/2)
We integrate to find the velocity
v(t) = integral t^(1/2)−t^(−1/2) dt
= t ^ (1/2 +1) t ^ (-1/2 +1)
------------ - ----------------- + c where c is the constant of integration
3/2 1/2
v(t) = 2/3 t^ 3/2 - 2 t^ 1/2 +c
We find c by letting t=0 since we know the velocity is 4/3 when t=0
v(0) = 2/3 0^ 3/2 - 2 0^ 1/2 +c = 4/3
0+c =4/3
c = 4/3
v(t) = 2/3 t^ 3/2 - 2 t^ 1/2 +4/3
To find the position function we need to integrate the velocity
p(t) = integral 2/3 t^ 3/2 - 2 t^ 1/2 +4/3 dt
2/3 t ^ (3/2 +1) 2 t ^ (1/2 +1) 4/3t
------------ - ----------------- + ------------- + c
5/2 3/2 1
p(t) = 4/15 t^ 5/2 - 4/3t ^ 3/2 + 4/3t +c
We find c by letting t=0 since we know the position is -4/15 when t=0
p(0) = 4/15 0^ 5/2 - 4/3 0 ^ 3/2 + 4/3*0 +c = -4/15
0 +c = -4/15
c = -4/15
p(t) = 4/15 t^ 5/2 - 4/3t ^ 3/2 + 4/3t -4/15
Answer:
no I have no idea I justwant points
Hello there! Thank you for asking your question here at Brainly. I will be assisting you today with answering this problem, and will be teaching you how to deal with it on your own in the future.
First, let's take a look at our question, and evaluate it.
"The area of a rectangular patio is 5 5/8 square yards, and it's length is 1 1/2 yards. What is the patio's width in yards?"
To clarify this problem, we are looking for the patio's width.
Let's first understand what the area of a rectangular shape is.
The formula for the area of a rectangle is "Length times Width", or "L • W".
So this is how the equation should look like:
A = L • W
We have our area, 5 5/8, and we have our length, 1 1/2.
To make things more simple, let's convert our fractions to decimals. Now, to convert our fractions to decimals, let's set our denominators (the numbers on the bottom of a fraction) equal to another fraction, with x as the numerator (the numbers on the top of a fraction) and 100 as the denominator.
So we have 1/2 and x/100. Divide 100 by 2 to find x (as 1/2 of anything is dividing by 2).
100 / 2 = 50, so 1 1/2 = 1.50 as a decimal.
Now, let's try 5/8.
1/8 = 0.125, so multiply 0.125 by 5.
0.125 • 5 = 0.625.
5 5/8 = 5.625 as a decimal.
So, now we have our equation:
A = L • W
Plug in our numbers.
5.625 = 1.50x
To isolate and solve for x, we need to divide both sides by 1.50, so let's do that.
5.625 / 1.50 = 3.75
1.50x / 1.50 = x
We are now left with:
x = 3.75
Your answer is:
The patio's width is 3.75 yards.
I hope this helps!
Answer:
.
Step-by-step explanation:
To solve this problem, we need to simplify the expression 
.
We know that 
Therefore:
.
Y=3x
explain
4x3=12 , 5x3=15 , 6x3=18 ,.......
