3 years ago

Consider the sequence below. What is the 10th term of the sequence?

Mathematics

1 answer:

ahrayia [7]3 years ago

7 0

Answer:

the right answer is a) 23

Step-by-step explanation:

because when we analyze the sequence it is observed that all the numbers are added the value of 3, therefore when arriving at position 10 the sum is 23

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Find f if f′(x)=2x−3/x^4, x>0 and f(1)=2.

slavikrds [6]

$f'(x)=2x-\dfrac3{x^4}$
$\displaystyle\int f'(x)\,\mathrm dx=\int\left(2x-\frac3{x^4}\right)\,\mathrm dx$
$f(x)=x^2+\dfrac1{x^3}+C$

Given that $f(1)=2$ , we get

$2=1^2+\dfrac1{1^3}+C$
$2=2+C$
$\implies C=2$

so that

$f(x)=x^2+\dfrac1{x^3}$