Answer:
None of these statements are true.
Step-by-step explanation:
a) The derivative of (fg)(x) is f'g +fg' according to the product rule for derivatives.
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b) The derivative of |x² +x| is a 3-part piecewise linear function equal to 2x+1 for |x+1/2| > 1/2, and equal to -2x-1 for |x+1/2| < 1/2. It is undefined for x=0 and x=1.
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c) for y = √f(x), y' = f'(x)/(2√f(x))
<h3>
Answer:</h3>
- a_n = -3a_(n-1); a_1 = 2
- a_n = 2·(-3)^(n-1)
<h3>
Step-by-step explanation:</h3>
A) The problem statement tells you it is a geometric sequence, so you know each term is some multiple of the one before. The first terms of the sequence are given, so you know the first term. The common ratio (the multiplier of interest) is the ratio of the second term to the first (or any term to the one before), -6/2 = -3.
So, the recursive definition is ...
... a_1 = 2
... a_n = -3·a_(n-1)
B) The explicit formula is, in general, ...
... a_n = a_1 · r^(n -1)
where r is the common ratio and a_1 is the first term. Filling in the known values, this is ...
... a_n = 2·(-3)^(n-1)
Answer: D. The red line demonstrates an exponential growth rate, because the growth rate for the deer population is itself continuously increasing.
Step-by-step explanation:
An exponential growth rate is one where the population in question is growing at a rate that continues to increase instead of remaining stable. That is, the growth rate itself grows.
The blue line does not show an exponential growth rate because the growth rate is stable per year. This is unlike the red line which grows at a rate that is increasing such that by the 4th year it's numbers cannot even be shown on the graph any longer.
<span><span>1.
</span>The quotient of twice a number p and 14
Let’s identify each
=> the quotient = the answer from division
=> twice a number p = 2p
=> 14
=> 2p / 14
Let’s find the value of p
=> 2p = 14
=> p = 14 / 2
=> p = 7 = the value of a number P is 7
Now, let’s solve
=> 2(7) / 14
=> 14 / 14 = 1 the quotient is 1</span>
