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Viktor [21]
3 years ago
13

What is the range of y=sec^-1(x)?

Mathematics
2 answers:
disa [49]3 years ago
7 0

Answer:

Range is [0, π/2) ∪ [π/2, π)

Step-by-step explanation:

For the given function y=sec^{-1}x if we draw a graph we find that it's discontinuous at x = -1 and 1.

Therefore domain of the function will be = (-∞, -1]∪[1, ∞)

and the range of the function will be [0, π/2) ∪ (π/2, π].

Bingel [31]3 years ago
3 0
Assuming that the x is not part of the ^-1 the range would be 

[0,π/2) U (π/2,<span>π]</span>
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AleksAgata [21]
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3 years ago
Find the number that makes the ratio equivalent to 8:3.<br> :30 <br> pleas just say the number
Blizzard [7]

Answer:

32 : 12 is the second equivalent ratio. = 48 : 18 is the third equivalent ratio. Therefore, the three equivalent ratios of 8 : 3 are 16 : 6, 32 : 12 and 48 : 18

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2 years ago
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goldenfox [79]

You can observe that every next term is computed by adding 4 to the previous one.

This implies that the difference between consecutive terms is always 4, and this is an arithmetic sequence.

In order to find the explicit equation, we can explore the pattern:

a_1 = -1 = -1+4\cdot 0

a_2 = 3 = -1+4\cdot 1

a_3 = 7 = -1+4\cdot 2

a_4 = 11 = -1+4\cdot 3

So, as you can see, we have

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If 109 is a term of the sequence, there must exist a natural number n such that

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So, 109 is not a term of the sequence.

4 0
3 years ago
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You worked as a lifeguard this summer and earned an extra $3,000. You decided to deposit that amount into your savings account.
Nataly [62]

Answer:

The correct answer is $3300 for simple interest and $3312.24 for compound interest.

Step-by-step explanation:

Income as working as a lifeguard = $3000

We deposit the money in a bank which offers 2% interest annually for a period of 5 years.

Case 1 : Calculating simple interest for the given situation.

Amount after 5 years = 3000 + 3000 × 2 × 5 × \frac{1}{100} = $ ( 3000 + 300) = $3300.

Case 2 : Calculating compound interest for the given situation.

Amount after 5 years = 3000 × (1 + \frac{2}{100} ) ^{5} = $ 3312.24.

Thus the amount after 5 years amount simply is $3000 and compoundly is $3312.24

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malfutka [58]

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