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Firdavs [7]
3 years ago
5

2 sec (4x) - 2

Mathematics
1 answer:
ankoles [38]3 years ago
5 0

Answer:

Step-by-step explanation:

Find the limit of x to 0 of 4•Sec(4x)^-2

We know that, Sec4x = 1 / Sin4x

Then,

Lim x → 0: 4•(1 / Sin4x)^-2

Lim x → 0: 4•(Sin4x)²

Then,

Lim x → 0: 4(Sin(4×0))²

Lim x → 0: 4(Sin0)²

Lim x → 0: 4

Then, the limit as x → 0 is 4.

The correct answer is 4

Option A

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SOMEONE HELP ME PLEASEE! who is correct?
Neporo4naja [7]

Answer:

neither

Step-by-step explanation:

5 0
3 years ago
If f(x) = 2х2 +1 and g(x) = х2 -7, find (f-g)(x).
Nookie1986 [14]

Option A

If  f(x) = 2x^2 + 1 and g(x) = x^2 - 7 then (f - g)(x) = x^2 + 8

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

Given that f(x) = 2x^2 + 1 and g(x) = x^2 - 7

To find: (f - g)(x)

We know that,

(f – g)(x) = f (x) - g(x)

Let us substitute the given values of f(x) and g(x) in above formula,

(f - g)(x) = 2x^2 + 1 - (x^2 - 7)

For solving the brackets in above expression,

There are two simple rules to remember:

When you multiply a negative number by a positive number then the product is always negative.

When you multiply two negative numbers or two positive numbers then the product is always positive.

So the expression becomes,

(f - g)(x) = 2x^2 + 1 -x^2 + 7

Combining the like terms,

(f - g)(x) = 2x^2 - x^2 + 1 + 7\\\\(f - g)(x) = x^2 + 8

Thus option A is correct

8 0
3 years ago
what is the least number that must be added to 2000 so that the sum is divisible exactly 10,12,16and 18 ? do it step by step
Rudiy27

The integers divisible by any set of positive integers are the multiples of their LCM

let us first write the factored form of each

10 = 2×5

12 = 2×2×3

16 = 2×2×2×2

18 = 2 x3×3

Now we will find lcm of these numbers

LCM = 2×2×2×2×3×3×5 = 720

The multiples of 720 are divisible by 10,12,16 and 18.

2000/720 = 2.777777...

The least integer greater than that is 3, so 3×720 = 2160 is the least integer greater than 2000 that is divisible by 10,12,16 and 18.

so if we need to find what must be added to 2000 so that the sum is divisible by 10,12,16 and 18, we must subtract 2000 from 2160

2160-2000=160

so we must add 160 to 2000 so that the sum is divisible exactly 10,12,16and 18

5 0
3 years ago
The sum of two numbers is 82 and their difference is 26. find each of the numbers.
Zarrin [17]
54 because if x+y=82 and x-y=26 add 26 and 82 is 108 the divide it by 2 your answer is 54
7 0
3 years ago
Read 2 more answers
The distance traveled by Earth in one orbit around
Zolol [24]

Answer:

Step-by-step explanation:

v=d/t

v=(580000000mi/y)(y/365d)(d/24h)=66210 mph (rounded to nearest mph)

7 0
3 years ago
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