Does the rule y=6x^7 represent an exponential function
2 answers:
An exponential function is a function in which the variable is in the exponent.
Functions of the type :
Here the exponent is an integer.
Such functions are called Arithmetic functions.
Functions of the type
y = 2 ^x
Here the exponent of 2 is a variable.
Such functions are called exponential functions
We are given y =6 x^7.
Here the variable is base & the exponent is an integer.
So does not represent an exponential function.
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Answer:
Step-by-step explanation:
We have:
$log_{10} (10)=1$
$\therefore \log_{10}(2\times 5)=1$
$\implies \log_{10}(2)+ \log_{10}(5)=1$
$\implies \log_{10}(5)=1-\log_{10}(2)$
$\implies \log_{10}(5)=1-0.3010=\boxed{0.6990}$
Answer:
See explanation and proof below.
Step-by-step explanation:
For this case we want to proof this identity:
And we need to us the double angle formula given by:
If we use a substitution for example we see that the double angle formila is given by:
And we got:
And if we apply sqaure root on both sides we got:
And that complete the proof
If you mean, "does the sequence 
converge", then yes, since 
.
If you mean, "does the series
converge", then no, for the reason above (the summand passes the nth limit test for divergence, so the series diverges).
If you mean, "does the series