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Deffense [45]
3 years ago
5

Calculus Ch. 1.2 Classwork Problems Evaluating limits Graphically

Mathematics
1 answer:
NISA [10]3 years ago
8 0

Answer:

16)   2

17)   -5

18)   doesn't exist

19)   doesn't exist

20)  doesn't exist

21)   3

22)   4

23)   6

Step-by-step explanation:

16) as you move towards -9, the function adopts the value 2

17) as one moves towards x = -6 , from both sides (right and left) the function goes to the value -5

18) As one moves towards x = -4 (from the right and from the left, the functions seems to diverge towards + ∞. So normally the convention for limits stipulates: Undefined or Doesn't exist

19) f(-4) doesn't exist (for same reasons as above (there is a singularity here)

20) As one moves towards 2 from the right, the function gets towards the value 3, while approaching from the left the function goes towards the value 5. So formally we say that the limit doesn't exist (from the left and from the right limits don't agree)

21) f(2) is the well defined value of 3

22)  approaching x= 4 from the right and from the left both lead towards the value 4.

23) f(4) is 6

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What polynomial identity should be used to prove that 35 = 8 + 27
Julli [10]

Answer:

Sum of cubes identity should be used to prove 35 =3+27

Step-by-step explanation:

Prove that : 35 = 8 +27

Polynomial identities are just equations that are true, but identities are particularly useful for showing the relationship between two apparently unrelated expressions.

Sum of the cubes identity:

a^3+b^3=(a+b)(a^2-ab+b^2)

Take RHS

8+ 27

We can write 8 as 2 \times 2 \times 2 = 2^3 and 27 as 3 \times 3 \times 3 = 3^3.

then;

8+27 = 2^3+3^3

Now, use the sum of cubes identity;

here a =2 and b = 3

2^3+3^3 = (2+3)(2^2-2\cdot 3+3^2)

or

2^3+3^3 = (5)(4-6+9) = 5 \cdot 7 = 35 = LHS    proved!

therefore, the Sum of cubes polynomial identity should be used to prove that 35 = 8 +27

4 0
3 years ago
Read 2 more answers
a wholesaler allows a discount of 25kobo for every 25 naira goods purchased . find the percentage discount allowed.
ZanzabumX [31]

The percentage discount allowed by the wholesaler is 1%

<h3>Percentage</h3>

  • 1 naira = 100 Kobo

25 naira = 25 × 100

= 2500 Kobo

Percentage discount allowed = 25 / 2500 × 100

= 0.01 × 100

= 1%

Therefore, the percentage discount allowed is 1%

Learn more about percentage:

brainly.com/question/843074

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5 0
1 year ago
A cylinder is 8 inches high. The circumference of the base 6pi inches. Find the volume
OverLord2011 [107]
The cylinder is 48 in volume
4 0
3 years ago
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Sonya has 12 cup box of ceral she wants to pour the cereal into small 1/4 cup snake how many bags of cereal will she have
malfutka [58]

Answer:

a - 48

Step-by-step explanation:

12 cups are divided into 1/4 cup bags.

Converting 12 into a fraction, you get:

12/1 divided by 1/4.

When we divide fractions, we flip the second fraction and change the operation to multiplication.

12/1 * 4/1.

Since 12/1 and 4/1 are now just whole numbers, (12 and 4), we can multiply them together.

12 * 4 = 48.

4 0
2 years ago
Angles A = 60, B = 2x, C = 3x and D = 25 are 4 angles on a straight, what 3 points is the value of angle B?*​
iragen [17]

Answer:

  B = 38°

Step-by-step explanation:

A straight angle is 180°. If your four angles total a straight angle, then ...

  60 +2x +3x +25 = 180

  95 = 5x . . . . . . subtract 85

  x = 19 . . . . . . divide by 5

  2x = 38 . . . . . angle B is 38°

4 0
1 year ago
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