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Sladkaya [172]
3 years ago
13

Fred works as an

Mathematics
1 answer:
OLEGan [10]3 years ago
7 0

Step-by-step explanation:

so he already down 20 ft so he ascends (goes up) 9 feet, so hes at 11 feet right now. then he descends 12 (goes down) feet so hes at 23 feet. lastly he ascends 15 feet (goes up) more. so the answer is 8

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Find lim h->0 f(9+h)-f(9)/h if f(x)=x^4 a. 23 b. -2916 c. 2916 d. 2925
Svetach [21]

\displaystyle\lim_{h\to0}\frac{f(9+h)-f(9)}h = \lim_{h\to0}\frac{(9+h)^4-9^4}h

Carry out the binomial expansion in the numerator:

(9+h)^4 = 9^4+4\times9^3h+6\times9^2h^2+4\times9h^3+h^4

Then the 9⁴ terms cancel each other, so in the limit we have

\displaystyle \lim_{h\to0}\frac{4\times9^3h+6\times9^2h^2+4\times9h^3+h^4}h

Since <em>h</em> is approaching 0, that means <em>h</em> ≠ 0, so we can cancel the common factor of <em>h</em> in both numerator and denominator:

\displaystyle \lim_{h\to0}(4\times9^3+6\times9^2h+4\times9h^2+h^3)

Then when <em>h</em> converges to 0, each remaining term containing <em>h</em> goes to 0, leaving you with

\displaystyle\lim_{h\to0}\frac{f(9+h)-f(9)}h = 4\times9^3 = \boxed{2916}

or choice C.

Alternatively, you can recognize the given limit as the derivative of <em>f(x)</em> at <em>x</em> = 9:

f'(x) = \displaystyle\lim_{h\to0}\frac{f(x+h)-f(x)}h \implies f'(9) = \lim_{h\to0}\frac{f(9+h)-f(9)}h

We have <em>f(x)</em> = <em>x</em> ⁴, so <em>f '(x)</em> = 4<em>x</em> ³, and evaluating this at <em>x</em> = 9 gives the same result, 2916.

8 0
3 years ago
What is the radical number for 62
a_sh-v [17]

Answer:

The square root of 62 in its simplest form means to get the number 62 inside the radical √ as low as possible. The square root of 62 is already in the simplest radical form. Therefore, the answer is √62.

Step-by-step explanation:

3 0
3 years ago
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Joey pays $35.85 each month for his new stereo what does he pay each year
maks197457 [2]
ANSWER
$430.20

STEP BY STEP
there are 12 months in a year so multiply that number by 12.

Hope this helps
6 0
2 years ago
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Please let me know ​
bazaltina [42]

21) option C

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4 0
2 years ago
How many solutions does 5x - 4x = 2x + 6 have
LUCKY_DIMON [66]

i think one which is where x=-6

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2 years ago
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