
Explanation
Step 1
the density of an object is given by:

Step 2
let

Step 3
replace,

I hope this helps you
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Answer:

Step-by-step explanation:
We know by definition that the cosine is an even function, therefore

We also know that the sin is an odd function, therefore

By definition:

Then:


Using these trigonometric properties we can simplify the expression

You apply the rule to put the exponent in front, and lower it by one. But since this is a nested expression, you apply it twice:
4*(5x^3-4)^3 * 3*5x^2 =
60x^2 (5x^3-4)^3
Answer:
- f(1) = 4
- f(n) = f(n - 1) + 4
Step-by-step explanation:
Given the sequence:
The first term is 4 and common difference is 4
<u>Recursive formula:</u>
- f(1) = 4
- f(n) = f(n - 1) + 4