The functions would be:
D. y=x³
We can check it out.
(1,1); x=1; y=1 ⇒1=(1)³=1*1*1=1
(2,8); x=2; y=8 ⇒8=(2)³=2*2*2=8
(3,27); x=3; y=27 ⇒27=3³=3*3*3=27
(4,64): x=4; y=64 ⇒64=4³=4*4*4=64
(5,125); x=5; y=125 ⇔ 125=5³=5*5*5=125
.4 is the answer m8
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Answer:
f'(x) = -1/(1 - Cos(x))
Step-by-step explanation:
The quotient rule for derivation is:
For f(x) = h(x)/k(x)
In this case, the function is:
f(x) = Sin(x)/(1 + Cos(x))
Then we have:
h(x) = Sin(x)
h'(x) = Cos(x)
And for the denominator:
k(x) = 1 - Cos(x)
k'(x) = -( -Sin(x)) = Sin(x)
Replacing these in the rule, we get:
Now we can simplify that:
And we know that:
cos^2(x) + sin^2(x) = 1
then:
Answer:8% discount will be given
Step-by-step explanation:
Answer:
169.1 unit^2 to the nearest tenth.
Step-by-step explanation:
Area of the parallelogram = base * height
= 24 * 6 unit^2.
Area of the semicircle = 1/2 pi r^2.
Here r = 1/2 * 8 = 4.
So the area is 1/2 * pi * 4^2
= 8pi unit^2.
The area of the whole figure = 24*6 + 8pi
= 169.13 unit^2.
