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JulsSmile [24]
4 years ago
15

A man enters a tall tower, needing to know its height. he notes that a long pendulum extends from the ceiling almost to the floo

r and that its period is 15.3 s. how tall is the tower
Mathematics
1 answer:
myrzilka [38]4 years ago
3 0
A man enters a tall tower, needing to know its hieght. He notes that a long pendulum extends from the ceiling almost tothe floor and that its period is 15.5s. (a) How tall isthe tower? (b) If this pendulum is taken to the Moon,where the free-fall acceleration is 1.67m/s2, what isthe period there?T=15.5s(a) L=T2g/4π<span>2</span>
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xpress 8/(1 - 2x)2 as a power series by differentiating the equation below. What is the radius of convergence? 4 (1 - 2x) = 4(1
poizon [28]

Recall that for |<em>x</em>| < 1, we have

\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n

Replace <em>x</em> with 2<em>x</em>, multiply 4, and call this function <em>f</em> :

f(x)=\dfrac4{1-2x}=\displaystyle4\sum_{n=0}^\infty(2x)^n

Take the derivative:

f'(x)=\dfrac8{(1-2x)^2}=\displaystyle8\sum_{n=0}^\infty n(2x)^{n-1}=\boxed{8\sum_{n=0}^\infty (n+1)(2x)^n}

By the ratio test, the series converges for

\displaystyle\lim_{n\to\infty}\left|\frac{(n+2)(2x)^{n+1}}{(n+1)(2x)^n}\right|=|2x|\lim_{n\to\infty}\frac{n+2}{n+1}=|2x|

or |<em>x</em>| < 1/2, so the radius of convergence is 1/2.

8 0
3 years ago
What is the slope of the line through (-3, 3) and (-1,-1)?
stira [4]
It’d be B, -2

You move right one space and then down two spaces
5 0
3 years ago
The degree of the polynomial function f(x)=-2x(x-1)(x+5)
sergij07 [2.7K]
I think the answer is 2x^3+10x^2-2x-10
4 0
3 years ago
Please help sorry if it’s a little blurry! I’ll mark brainliest if you tell me why you got that answer.
In-s [12.5K]

Answer:

the answer is c

Step-by-step explanation:

Since jane weighs 126 and is gaining 3 pounds per month that would make the part of the equation that is 126+3m and since Cynthia weighs 134 and is gaining 2 pounds every month that is what makes the 134+2m part of the equation. And since the equation is 134+2m=126+3m then the goal is to find how many months it would take for their weights' to be equal. Sorry that my explaining skills are terrible hopefully I helped a little.  

3 0
3 years ago
What is the principle square root of 1600?<br> A. -40<br> B. 40<br> C. both
WINSTONCH [101]
The answer is B 40........



7 0
3 years ago
Read 2 more answers
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