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Lena [83]
3 years ago
12

Let f be the function given by f(x)=2cosx+1. what is the approximation for f(1.5)

Mathematics
2 answers:
suter [353]3 years ago
3 0
Function:
f(x) = 2 cos x +1

Note: The values of x should be given in radians.

Therefore;

Substituting for x = 1.5 radians

f(1.5) = 2 Cos 1.5 + 1 ≈ 1.1415
Daniel [21]3 years ago
3 0

Answer:

1.1414

Step-by-step explanation:

Given that f is  a function given by

f(x) =2cosx +1

Here x is taken in radians.

Hence when x =1.5

we have cos 1.5 = 0.0707

2cosx = 0.1414

And hence

2cosx+1=1+0.1414

=1.1414

Thus we get

f(1.5) = 1.1414 apprxy

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The sum of first 8 terms of series is -130208

<em><u>Solution:</u></em>

Given that,

2 - 10 + 50 - 250 , ....

n = 8

Find the common ratio between a term and its previous term

r = \frac{-10}{2} = -5\\\\r = \frac{-250}{50} = -5

Thus common ratio is same

This is a geometric series

<em><u>The sum of terms of geometric sequence is given as:</u></em>

S_n = \frac{a_1(1-r^n)}{1-r}

Where,

r is the common ratio

n is the nth term

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From series,

a_1 = 2\\\\r = -5\\\\n = 8

Therefore,

S_8 = \frac{2 \times (1 - (-5)^8)}{1-(-5)}\\\\S_8 = \frac{2 \times (1-390625)}{6}\\\\S_8 = -130208

Thus sum of first 8 terms of series is -130208

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