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:
The correct answer is:
To subtract an integer, add its opposite; -4 + 5 = 1
Step-by-step explanation:
Marty is explaining to Susan how to solve the following problem, -4 – (-5)
He told Susan that to subtract an integer, add its opposite.
We know that whenever we solve the two terms, first we multiply the signs.
It means that the negative sign outside the round bracket will be multiplied with the negative sign of -5
That is,
-4 - (-5)
By multiplying the signs we get the terms:
-4 + 5
=1
Thus the correct option is D....
Answer:
66 turned into 22 because the fraction was simplified.
Step-by-step explanation:
Both 66 and 9 can be divided by 3 to get 22 and 3 so
66/9 turns into
22/3
Write the polynomial as an equation.
y
=
x
3
−
2
x
2
−
3
x
+
6
y
=
x
3
-
2
x
2
-
3
x
+
6
To find the roots of the equation, replace
y
y
with
0
0
and solve.
0
=
x
3
−
2
x
2
−
3
x
+
6
0
=
x
3
-
2
x
2
-
3
x
+
6
Replace
y
y
with
0
0
and solve for
x
x
.
Tap for more steps...
x
=
2
,
√
3
,
−
√
3
x
=
2
,
3
,
-
3
The result can be shown in multiple forms.
Exact Form:
x
=
2
,
√
3
,
−
√
3
x
=
2
,
3
,
-
3
Decimal Form:
x
=
2
,
1.73205080
…
,
−
1.73205080
…
Answer: C= 40.25 - 0.05x
Step-by-step explanation:
C is the credit left
We know that the original is 40.25, so we put it as the beginning number.
Each minute costs $0.05x
where x is each minute
, so the equation is C= 40.25 - 0.05x