Solve for j.-13j - 20 = -8j + 20
1 answer:
You might be interested in
Answer:
The answer is
Step-by-step explanation:
Assuming the snowball is a perfect sphere, then if A denotes the surface area and D the diameter then:
Differentiating wrt r we have:
We are told that and we want to find
By the chain rule we have:
∴
∴
When D=10 then
The sign (-) shows that the D is decreasing.
Answer:
a)
b)
The values are too small since is positive for both values of
in. I'm speaking of the
values, 2.9 and 3.1.
Step-by-step explanation:
a)
The point-slope of a line is:
where is the slope and
is a point on that line.
We want to find the equation of the tangent line of the curve at the point
on
.
So we know .
To find , we must calculate the derivative of
at
:
.
So the equation of the tangent line to curve at
is:
.
I'm going to solve this for .
Subtract 5 on both sides:
What this means is for values near
is that:
.
Let's evaluate this approximation function for .
Let's evaluate this approximation function for .
b) To determine if these are over approximations or under approximations I will require the second derivative.
If is positive, then it leads to underestimation (since the curve is concave up at that number).
If is negative, then it leads to overestimation (since the curve is concave down at that number).
is positive for
.
is negative for
.
That is, .
So is positive for both values of
which means that the values we found in part (a) are underestimations.
For f(-2), x will equal -2.
Plug the x-value into the equation:
A negative exponent means that the term turns into a fraction, with 1 as the numerator and the positive exponent as the denominator.
Solve 2^(-2):
Solve the problem:
f(-2) will equal 1/2.
Plug the x-value into the equation:
A negative exponent means that the term turns into a fraction, with 1 as the numerator and the positive exponent as the denominator.
Solve 2^(-2):
Solve the problem:
f(-2) will equal 1/2.