The correct answer is option D. Which is the even function is f (x) = x⁴.
<h3>What is an even function?</h3>
The function in which when the sign of the input variable is changed the output remains the same is called the even function. Mathematically we can write it as f(x) = f(-x ).
let us check the given four options:-
A f(x) = √x ; f(-x) = √-x here f(x) ≠ f(-x)
B f(x) = x ; f(-x) = -x here f(x) ≠ f(-x)
C f(x) = x³ + 1 ; f(-x) = -x³ + 1 here f(x) ≠ f(-x)
D f(x) = x⁴ ; f(-x) = (-x)⁴ = x⁴ here f(x) = f(-x)
We can see that in the option D the f(x) = x⁴ is an even function because f(x) = f(-x).
Therefore the correct answer is option D. Which is the even function is f (x) = x⁴.
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Volume of the cone = 1/3π r^2 h
So, we are given that r = 9 and h = 12
plugging in all the known values
1/3 * (3.14) * 9 * 9 * 12
= 1017.36 cm³
or
≈1017.4 cm³
The term that can be added to the list so the GCF is 12h3 would be 48h5.
The reason being is that 48 is first divisible by 12 and does not yield a fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.
To find the inverse function, interchange the variables and solve for y.
h^-1 (x) = -9 - 3x/2
Answer:
FV(p)= PV*(1 + g)^t
Step-by-step explanation:
Giving the following information:
Number of insects (PV)= 1,500
Increase rate= 3 weekly
<u>First, we need to calculate the daily growth rate:</u>
Daily rate (g)= [3^(1/7)] - 1
Daily rate (g)= 0.16993
<u>Now, by using the following formula, we can determine the population p in any given day t:</u>
FV(p)= PV*(1 + g)^t
<u>For, example after 7 days:</u>
FV(p)= 1,500*(1.16993^7)
FV(p)= 4,500
<u>For example, after 10 days:</u>
FV(p)= 1,500*(1.16993^10)
FV(p)= 7,206
