Answer:
a = 1 and b = 2
Step-by-step explanation:
Using the Quotient Rule>
d/dx[(sin x)/(2+cos x) ]
= [(2 + cos x) * cosx - sin x * - sin x)] / (2 + cos x)^2
= 2cos x + cos^2x + sin ^2 x) / (2 + cos x)^2
But cos^2x + sin^2x = 1 so we have:
(1 + 2 cos x) / (2 + cos x)^2
- so a = 1 and b = 2.
Answer:
Unit rate of change = -4.2°F/hour
Step-by-step explanation:
Assuming a constant rate of change, a relationship between the change of temperature as a function of time (in hours) can be described as follows:

There is a temperature drop from 12pm to 5pm, which explains the rate of change being negative. This rate means that at every hour that goes by, the temperature drops by 4.2 degrees.
Answer:
m=2
Step-by-step explanation:
Is your question "There is enough batter to make 18 cupcakes. How many cupcakes cpuld make if they were 3/4 the original size?" Because that makes more sense and can be answered.
Correct answer: <span>y=1/2x-5
</span>
given: point = (2,-4)
slope = 1/2
Explanation: equation of line is: y = mx + c
where, m is the slope
c is the y-intercept
Now,
here, y = 1/2x + c
put, x = 2, y = -4
we get, -4 = (1/2).2 + c
or c = -4 - 1
or c = -5
Hence, equation of line is : y = 1/2x-5