<span>The graph you plotted is the graph of f ' (x) and NOT f(x) itself. </span>
Draw a number line. On the number line plot x = 3 and x = 4. These values make f ' (x) equal to zero. Pick a value to the left of x = 3, say x = 0. Plug in x = 0 into the derivative function to get
f ' (x) = (x-4)(6-2x)
f ' (0) = (0-4)(6-2*0)
f ' (0) = -24
So the function is decreasing on the interval to the left of x = 3. Now plug in a value between 3 and 4, say x = 3.5
<span>f ' (x) = (x-4)(6-2x)
</span><span>f ' (3.5) = (3.5-4)(6-2*3.5)
</span>f ' (3.5) = 0.5
The function is increasing on the interval 3 < x < 4. The junction where it changes from decreasing to increasing is at x = 3. This is where the min happens.
So the final answer is C) 3
S = P[1 + (r / m)]^(m * t)
S = ?
P = 6000 euro
r = 0.07
m = 12
t = 5
S = 6000[1 + (0.07 / 12)]^(12 * 5)
S = 6000(1.00583)^(60)
S = 6000(1.4176...)
<span>S = 8505.75 euro
---------------------------
You can now do the rest which is anually and quarterly.</span>
Answer:
Step-by-step explanation:
greater than 1 , is your teacher just giving you brain teaser questions? these seem like they are .. "out in the weeds" type of questions, not really useful math :/
They all get 20 cents per person
Given parameters:
Distance covered = 455 miles
Time taken = 7 hours
New time taken = 5 hours
Unknown:
New distance = ?
To solve this problem, we need to define what speed entails.
<em>Speed is a physical quantity and it is distance divided by time.</em>
Speed = 
In this problem, we first find the rate at which Jim is driving;
Speed = 
= 65miles/hr
Now that we know the rate, we can simply find the new distance;
New distance = speed x new time taken
Input the parameters;
New distance = 65miles/hr x 5hrs = 325miles
