<span>Answer: The derivative of 4pi (4π) is simply zero. In Calculus, the process of differentiation is taking the limit of the given as the change with respect to a certain variable approaches zero. The derivative indicates the slope of a given function, the rate of change with respect to small increments to a reference axis or variable. As our given, 4π, is simply a constant, it does not change with respect to any infinitesimal increment to any variable; thus its derivative is zero.</span>
From 1030 to 1100 is 30 minutes
From 1100 to 1200 is 60 minutes
From 1200 to 1215 is 15 minutes
Total Time is 105 minutes
105/7=15
Tom completes 1 mile every 15 minutes
For this case we must solve the following quadratic equation:
Where:
The solution is given by:
Substituting:
Thus, we have two roots:
ANswer:
Answer:
203 rpm
Step-by-step explanation:
The speed of the larger gear can be calculated using the following equation:
<u>Where</u>:
ω: is the angular velocity of the motor = 700 rpm
R: is the gear ratio
The gear ratio is the following:
<u>Where:</u>
n(a): is the number of teeth on the small gear = 12 teeth
n(b): is the number of teeth on the larger gear = 42 teeth
The gear ratio is:
Now, the speed of the larger gear is:
Therefore, the speed of the larger gear is 203 rpm.
I hope it helps you!
Slope intercept form is y = mx + b...ur slope will be in the m position and ur y int will be in the b position
examples : slope = 2 , (1,3)....x = 1 and y = 3
y = mx + b
slope(m) = 2
(1,3)...x = 1 and y = 3
now we sub and find b, the y int
3 = 2(1) + b
3 = 2 + b
3 - 2 = b
1 = b
so in slope intercept form, ur equation is : y = 2x + 1
================
another example : slope = 3 , (-2,-4)
y = mx + b
slope(m) = 3
(-2,-4)...x = -2 and y = -4
now sub and find b, the y int
-4 = 3(-2) + b
-4 = - 6 + b
-4 + 6 = b
2 = b
so ur equation is : y = 3x + 2
