Answer:
The function f(x) is represented by:
Hence, a=1500 and b=0.97
Step-by-step explanation:
The patient currently has a bone density of 1,500 kg/mg^3.
A doctor estimates that a particular patient is losing bone density at a rate of 3% annually.
This means that the bone density that is remaining is:
100-3=97%
which is also represented as: 97%=97/100=0.97
Hence, the function f(x) that represents the bone density after x years is represented by:
where a is the initial bone density which is given to be: 1500 kg/mg^3.
Hence, the function is:
When x=-1:
Ok that gives us a little more information.
If we implicitly differentiate with respect to t, from the very start, then we can apply our product rule, ya?
The right side is zero, derivative of a constant is zero.
Where x' is dx/dt and y' is dy/dt.
From here, plug in all the stuff you know:
y' = -3
x = -1
y = 4
and solve for x'.
Hope that helps!
Answer:
m > 2
Step-by-step explanation:
Since it is an open dot, it is not greater than or equal to, but rather just greater than.
Then, since the arrow goes to the right, the equation is greater than.
Answer:
350 square feet
Step-by-step explanation:
We are given that
Width of strip=6 in
Dimension of rectangle=
We know that
Area of rectangle ,A=xy
Differentiate
We have 
1 ft=12 in
Because 6 in added in both side of breadth
dy=
Because 6 in added on both sides of length of rectangle
Substitute the values
Hence, the number of square feet of paint in the strip=350 square feet
