Answer:
-5/3
Step-by-step explanation:
To solve for slope we use the slope formula which is y2-y1/x2-x1.
For this problem I chose the points: (-5,10) and (-2,5)
-5 is x1, 10 is y1, -2 is x2 and 5 is y2
We now plug in the points into the slope formula:
5-10/-2-(-5)= -5/3
Answer:
Step-by-step explanation:
In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).
The formula we will use for this problem is the following:
where:
a=0
so the volume becomes:
This can be simplified to:
and the integral can be rewritten like this:
which is a standard integral so we solve it to:
so we get:
which yields:
]
Answer:
18
Step-by-step explanation:
To calculate the velocity, we use the given expression above which is <span>s(t) = −16t^2 + 144. First, we calculate the time it takes to reach the ground. Then, differentiate the expression and substitute time to the differentiated expression.
</span>s(t) = −16t^2 + 144
0 = -16t^2 + 144
t = 3
s'(t) = v = -32t
v = -32(3)
v = -96
Note: negative sign signifies that the object is going down