A tree grows three feet per year. What happens to the growth of the
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<h3>Answer: 42 = 2*3*7</h3>
Explanation:
Here is list of the first few primes = {2, 3, 5, 7, 11}
Divide 42 over the smallest prime 2 and we get
42/2 = 21
This shows that 2 is a factor (since we get a whole number result).
We don't have another factor of 2 because 21/2 = 10.5 isn't a whole number. But 3 is a factor because 21/3 = 7
Ultimately the numbers 2, 3 and 7 are factors of 42. They are the only prime factors and there's only one copy of each.
42 = 2*3*7
Check out the diagram below. It shows two different ways to generate a factor tree for the number 42.
Answer:
A.
Step-by-step explanation:
A. The problems asked for 2 ways to solve it, expanding the equation with the substitution x(t)=2 cos(t) and y(t)=4 sin(t) to differentiate it . The other way is by chain rule.
Expanding and differentiating:
We start by substituting x(t)=2 cos(t) and y(t)=4 sin(t) in h(x,y)=4x2+y2:
So, in the path that the hiker chose:
Chain rule:
We start differentiating h(x,y) using chain rule as follows:
Now, it´s easy to find all these derivatives:
Now we replace them in the chain rule, with the replacement x=2cos(t) and y=4sin(t) in the x,y that are left and we operate everything:
This will be our answer