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Dmitriy789 [7]
3 years ago
9

Determine all critical points for the function. f(x)=(x-10)^5

Mathematics
1 answer:
nikdorinn [45]3 years ago
7 0
A critical point is just where a graph's slope is = to 0, so you can take the derivative of that function and set it equal to 0.

Using the chain rule:
f'(x) = 5(x-10)^4
0 = 5(x-10)^4

divide by 5 on both sides and take the 4th root of both sides.

0 = x - 10

add ten on both sides, and x = 10. Now, plug the x-value back into the original (you want to find the y-value on the original function ,not the derivative).

y = (10-10)^5 = 0

(10,0)
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Eccentricity = foci / half the length of the major axis
 = 3.5 / 14 = 1/4
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3 years ago
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Determine if the sequence is geometric. If it is, find the common ratio, the 8th term, and the explicit formula. -2, 6, -18, 54,
aleksandrvk [35]

Answer:

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio,r. Considering the given sequence,

r = 6/- 2 = - 18/6 = - 3

Therefore, the sequence is geometric.

The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

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n represents the number of terms.

From the information given,

a = - 2

r = - 3

The explicit formula is

Tn = - 2 × (- 3)^(n - 1)

To find the 8th term, T8,

T8 = - 2 × (- 3)^(8 - 1)

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T8 = - 2 × - 2187

T8 = 4374

3 0
3 years ago
Convert 5 killogram into grams . here are the answer choices A.5,000 B.500 C.50 D. 5,500
serious [3.7K]
The answer to this question is 5000
7 0
3 years ago
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What is 16+x=12 and -3x=15
horrorfan [7]
-4 and -5
because to get 16 to 12 you have to subtract 4 but it wants you to add so you put a negative sign infront of it.

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Please help <br> Due asap SHOW a workings please
kiruha [24]

Answer:

A

Step-by-step explanation:

1) first there are a few rules we need to know:

a) the sum of any two sides of a triangle is always larger than the 3rd side

b) the difference between any two sides of a triangle is always smaller than the 3rd side;

hence,

3+4=7

4-3=1

triangle 3,4,5 follows all the rules,

triangle 13,2,11:

11+2=13

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triangle 10,4,5

5+4=9

9<10

not an option

8 0
3 years ago
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