Answer:
For the power series on the left ∑ 5^nx^n/n^5, the radius of convergence is 1/5, and the interval of convergence is [-1/5,1/5].
For the power series on the right, given ∑ cn x^n has a convergence of R, I believe that the radius of convergence for ∑ c_n x^8n the eighth root of R
Step-by-step explanation:
Answer:
1) Given the equation y = 35(0.57)^x
a) Does this equation represent growth or decay? ______Decay_________
b) What is the rate of growth or decay? _______43%________
1-0.57=0.43 100x0.43=43%
c) What is the initial value? _____35________
d) Evaluate for x = 3
y=(35)(0.57)^(3)
=(35)(0.185193)
=6.481755
Hey there!
No numbers go into a prime number other than one and that number. 9 and 7 go into 63, so it’s not 63. 3 and 17 go into 51, so it’s not 51. 19 and 3 go into 57, so it’s not 57. That leaves 61. Nothing goes into this other than one and 61, so the answer is 61.
I hope this helps!
Answer:
1/15
Step-by-step explanation:
(1). <em>Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD (Least Common Denominator). </em>
So lets do step one now, the LCD is 15 so we have to make both denominators agree on one number, so 15 is the number both denominators agree on.
Solve:
2*3/5*3 - 1*5/3*5
(2). <em>Complete the multiplication.</em>
6/15 - 5/15
(3). <em>The two fractions now have like denominators so you can subtract the numerators.</em>
6 - 5 / 15 - 15 = 1/15
*Pro tip:
<em>The denominator doesn't change and stays the same. So you don't </em>
<em>subtract the 15 by 15.</em>
(4). <em>Then you'll get the answer and then if you can simplify then simplify.</em>
<em />
The Answer is 1/15, and cannot be simplified.
So the answer is 1/15
Hope this helps!