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Gekata [30.6K]
3 years ago
15

If f(x) = 9 cos2(x), compute its differential df. df = (−18cos(x)sin(x))dx correct: your answer is correct. approximate the chan

ge in f when x changes from x = π 6 to x = π 6 + 0.1. (round your answer to three decimal places.) δf = .738 incorrect: your answer is incorrect. approximate the relative change in f as x undergoes this change. (round your answer to three decimal places.)
Mathematics
2 answers:
Natali5045456 [20]3 years ago
4 0

Answer:

a

Step-by-step explanation:

Nonamiya [84]3 years ago
3 0

Given: f(x) = 9 cos (2x)

The differential equation is df = - 18 sin(2x) dx

When x contrasts from π/6 to π/6 + 01, then dx = 0.1.
The variation in f is δf = - 18 sin(π/3) *(0.1) = -1.5588 ≈ -1.559

The computation in the change in f directly:

f(π/6) = 9 cos(π/3) = 4.5
f(π/6 + 0.1) = 9 cos(π/3 + 0.2) = 2.6818
δf = 2.6818- 4.5 = -1.6382 ≈ -1.638

Direct computation of δf is near to the real value but in error. 
The two outcomes will be closer as dx gets smaller.

Answer would be:
δf = -1.559  (correct answer)
δf = -1.638 (approximate answer)

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4 0
3 years ago
Solve for x ‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎ ‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎ ‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎ ‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎​
inysia [295]

Answer:

12.699

Step-by-step explanation:

i think if you do 26-22.4, you get the leg of the small triangle which is 3.6

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6 0
2 years ago
Rewrite the fraction in the sentence below as a percentage 21/25
Paul [167]
21/25


Change to decimal:-

Divide numerator by denominator.


21/25

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6 0
3 years ago
Solve asap: 3(2y+10)=54<br><br> Within 10 mins pls <br><br> 8th grade
inna [77]

Answer:

y = 4

Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
Please answer this correctly without making mistakes
katrin2010 [14]

Answer:

16 km

Step-by-step explanation:

Given:

Distance from Washington to Stamford = distance from Washington to Salem + distance from Salem to Stamford = 10.3 km + 11.9 km = 22.2 km

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Required: the difference between the distance from Washington to Stamford and from Washington to Oakdele

Solution:

Distance from Washington to Stamford = 22.2 km

Distance from Washington to Oakdele = 6.2 km

The difference = 22.2 km - 6.2 km = 16 km

Therefore, from Washington, it is 16 km farther to Stamford than to Oakdele.

8 0
3 years ago
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