Answer:
- The derivative when x = 3 mm is 27.
V'(3) = 27
- This means that the volume's rate of change when x = 3 (when the sides are 3mm) is 27.
Step-by-step explanation:
The volume of a cube with side length x can be expressed as:
for a cube: ×
-Since the side length is x then:
The derivative of V is:
-When x = 3 the derivative is:
-Therefore,
<em>Keep in mind that a derivative represents the slope of the tangent line at a given point. It can also mean the rate of change at which the volume is changing when the side lenght is 3. </em>
You forgot to say what the question actually is !
But I've seen this problem before, in the last few days, here on Brainly.
I think the problem has three parts: 1). Solve the equation for 'a';
2). Solve it for 'b'; and 3). Solve it for 'c'.
I'll slog through that, and I'll try to explain what I'm doing clearly enough
so that eventually, you can do it on your own ... which is really the whole
idea behind this website.
1). Solve the equation for 'a'. That means you have to wind up with something
that says a = everything else.
<u>D = (a + b + c) / c</u>
Split the right side into 3 fractions: D = a/c + b/c + c/c
But c/c =1 , so the equation says D = a/c + b/c + 1
Subtract (b/c +1) from each side: D - b/c - 1 = a/c
Multiply each side by 'c' : <em>Dc - b - c = a</em>
========================
2). Solve the equation for 'b'. That means you have to wind up with something
that says b = everything else.
<u>D = (a + b + c) / c</u>
Split the right side into 3 fractions: D = a/c + b/c + c/c
But c/c =1 , so the equation says D = a/c + b/c + 1
Subtract (a/c +1) from each side: D - a/c - 1 = b/c
Multiply each side by 'c' : <em>Dc - a - c = b</em>
==========================
3). Solve the equation for 'c'. That means you have to wind up with
something that says c = everything else.
<u>D = (a + b + c) / c</u>
Split the right side into 3 fractions: D = a/c + b/c + c/c
But c/c =1 , so the equation says D = a/c + b/c + 1
Subtract 1 from each side: D - 1 = a/c + b/c
The two fractions on the right can be added/combined: D - 1 = (a + b) / c
Multiply each side by 'c' : c(D - 1) = (a + b)
Divide each side by (D - 1) : <em>c = (a + b) / (D - 1)</em>
Answer:
782.2 %
3911/500
Step-by-step explanation:
Given :
One cell phone company offers a plan that costs $26.99 and includes unlimited night and weekend minutes.
Another company offers a plan that costs $18.99 and charges $0.35 per minute during nights and weekends.
To Find :
For what numbers of night and weekend minutes does the second company's plan cost more than the first company's plan.
Solution :
Let, after n number of nights and weekends second plan is most costly.
So,
Therefore, after 22 night and weekends second plan is most costly.
Hence, this is the required solution.
When the divisor increases, the quotient decreases.
