Answer:
a) The function is constantly increasing and is never decreasing
b) There is no local maximum or local minimum.
Step-by-step explanation:
To find the intervals of increasing and decreasing, we can start by finding the answers to part b, which is to find the local maximums and minimums. We do this by taking the derivatives of the equation.
f(x) = ln(x^4 + 27)
f'(x) = 1/(x^2 + 27)
Now we take the derivative and solve for zero to find the local max and mins.
f'(x) = 1/(x^2 + 27)
0 = 1/(x^2 + 27)
Since this function can never be equal to one, we know that there are no local maximums or minimums. This also lets us know that this function will constantly be increasing.
A = l x w
225 = l * 13 3/4
225 ÷ 13 3/4 = l * 13 3/4÷ 13 3/4
16 4/11 = l
Length = 16 4/11 inches
Answer: its not 2
Step-by-step explanation: sorry wrong answer
Emma needs to invest $55,050.14.
<h3><u>Compound interest </u></h3>
Given that Emma is going to invest in an account paying an interest rate of 2.6% compounded quarterly, to determine how much would Emma need to invest, to the nearest cent, for the value of the account to reach $66,000 in 7 years, you should perform the following calculation:
- Principal amount x (1 + rate / number of annual compositions)^(years x number of annual compositions) = Interest
- X x (1 + 0.026/4)^(7x4) = 66000
- x x (1 + 0.0065)^28 = 66000
- x x 1.0065^28 = 66000
- x x 1.198907 = 66000
- X = 66000 / 1.198907
- X = 55050.14
Therefore, Emma needs to invest $55,050.14.
Learn more about compound interest in brainly.com/question/7420113
The inverse of the given function is y = x³ + 2
<h3>Finding inverse of a radical function</h3>
Given the radical function below expressed as;
f(x) = ∛x-2
This can be written as;
y = ∛x-2
Replace y with x
x = ∛y-2
Take the cube of both sides
x³ =y - 2
y = x³ + 2
Hence the inverse of the given function is y = x³ + 2
Learn more on inverse of a function here: brainly.com/question/3831584
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