Answer:
f(x)=cscx
f(x+h)=csc(x+h)
f(x+h)−f(x)=csc(x+h)−cscx=1sin(x+h)−1sinx
=sinx−sin(x+h)sin(x+h)(sinx)
=2sin(x−x−h2)cos(x+x+h2)sin(x+h)(sinx)
=−2sin(h2)cos(2x+h2)sin(x+h)(sinx)
f′(x)=limh→0f(x+h)−f(x)h
=limh→0−2sin(h2)cos(2x+h2)hsin(x+h)(sinx)
=−limh→0sin(h2)h2×limh→0cos(2x+h2)sin(x+h)sinx
=−cosxsin2x
=−cscxcotx
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
Answer:
<h3>x=47</h3>
Step-by-step explanation:
To solve this problem, first, you have to isolate x on one side of the equation. Isolate it on one side of the equation.
2x-2=x+45
2x-2+2=x+45+2 (First, add 2 from both sides.)
45+2 (Solve.)
45+2=47
2x=x+47
2x-x=x+47-x (Then, subtract x from both sides.)
47-x (Solve.)
47-x=47
x=47
In conclusion, the final answer is x=47.
Answer:
$0.27
Step-by-step explanation:
1/4 The ratio of meters of streamers to cost of streamers is 1 : 0.09
We want to know the ratio of centimeters of streamers to cost of
streamers.
2/4 We need to convert meters to centimeters.
There are 100 centimeters in 1 meter.
So, if 1 meter of streamers costs $0.09, then 100 centimeters of
streamers also cost $0.09.
3/4 The ratio centimeters of streamers to cost for 300 centimeters of
streamers.
Now, we can find an equivalent ratio to find the cost for 300
centimeters of streamers.
4/4 The streamers cost $0.27 per 300 centimeters.
Answer:
-5 and -5
Step-by-step explanation: