Answer:X=54.5°
Step-by-step explanation:
Somebody help me please? im timed!
1 answer:
We know that
Domain:
It is all possible values of x for which any function is defined
we are given function
we can see that our function goes from left to right side
so, domain will be all real numbers
Range:
Range is all possible values of y
we can see that
largest y-value is 4
smallest y-value is -inf ...because it keeps going downward
so, range is
so, option-C...........Answer
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Answer:
π/10
Step-by-step explanation:
When we rotate the region about the y-axis, we get something that looks like a volcano, or a bundt cake. Instead of slicing this into flat washers, we'll slice it in concentric rings, or "shells".
Each shell has a radius x, a thickness dx, and a height y. The volume of an individual shell is:
dV = 2π r h t
dV = 2π x y dx
Since y = x² − x³:
dV = 2π x (x² − x³) dx
dV = 2π (x³ − x⁴) dx
The total volume is the sum of all the shells from x=0 to x=1.
V = ∫ dV
V = ∫₀¹ 2π (x³ − x⁴) dx
V = 2π (¼ x⁴ − ⅕ x⁵) |₀¹
V = 2π (¼ − ⅕)
V = π/10
Answer:
Slope: 2
Y-intercept: (0,-5)
