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jek_recluse [69]
4 years ago
8

H(n) = 3n-4 g(n)= n3 + 3n? Find (h+g)(n)

Mathematics
1 answer:
shusha [124]4 years ago
7 0

Answer:

n³ + 6n - 4

Step-by-step explanation:

(h + g)(n) = h(n) + g(n)

= 3n - 4 + n³ + 3n ← collect like terms

= n³ + 6n - 4

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Step-by-step explanation:

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Your new phew is standing on his deck which is 4 feet off the ground. He tosses his toy up into the air. The equation h(t) = -2t
Tpy6a [65]

Answer:

The height of the toy is 9 feet after 1 second

Step-by-step explanation:

we have

h(t)=-2t^2+7t+4

where

h(t) is the toys height from the ground

t is the time in seconds

so

For t=1 sec

substitute the value of t in the quadratic equation and solve for h(t)

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3 0
4 years ago
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Anna71 [15]

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Step-by-step explanation:

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4 0
2 years ago
Find a power series representation of e^x sin(x)
liberstina [14]
The Taylor series is defined by:
f(x) = \sum \frac{f^n (a)}{n!} (x-a)^n

Let a = 0.
Then its just a matter of finding derivatives and determining how many terms is needed for the series.

Derivatives can be found using product rule:
f^n (x) = e^x g^{n-1} (x) + e^x g^n (x)  \\ g^0 (x) = sin x

Do this successively to n = 6.
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Plug in x=0 and sub into taylor series:
e^x  sin x = x+x^2 +\frac{x^3}{3} -\frac{x^5}{30}-\frac{x^6}{90}...

If more terms are needed simply continue the recursive derivative formula and add to taylor series.
6 0
3 years ago
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