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vodka [1.7K]
2 years ago
10

[25 POINTS] The approximate change in the value of f(x) = sqrt(2(x-1)) at x = 3 using differentials with dx = 0.01 is

Mathematics
1 answer:
otez555 [7]2 years ago
8 0

Answer:

\frac{1}{200}

Step-by-step explanation:

<u>Find the derivative of the function when x=3</u>

<u />y=\sqrt{2(x-1)}

\frac{dy}{dx}=\frac{1}{\sqrt{2(x-1)}}

\frac{dy}{dx}=\frac{1}{\sqrt{2(3-1)}}

\frac{dy}{dx}=\frac{1}{\sqrt{2(2)}}

\frac{dy}{dx}=\frac{1}{\sqrt{4}}

\frac{dy}{dx}=\frac{1}{2}

Since the change in the value of the function is dy and we know that the change in x is dx=0.01, then we have:

\frac{dy}{dx}=\frac{1}{2}

dy=\frac{1}{2}dx

dy=\frac{1}{2}(0.01)

dy=\frac{1}{200}

Therefore, the 2nd option is correct

<u />

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Consider the equation q= 4 +0.8p.<br> What value of q would make the equation true when p<br> is 7?
NARA [144]

Answer:

9.6

Step-by-step explanation:

q=4+0.8(7)

6 0
2 years ago
Gulf gully and jump rope road are a pretty far distance.If the scale for the map is 0.5 inches=2.3 miles,what is the actual dist
Nezavi [6.7K]

Answer:

12 cm = 21.62 miles

6 cm = 11.04 miles

Step-by-step explanation:

To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of \frac{map}{real world} and simplify.

We know \frac{map}{real world}=\frac{0.5in}{2.3 miles}. We know the distance on the map is 12 cm and 6 cm whish converts to 4.7 inches and 2.4 inches. We can write \frac{4.7in}{xmiles} and  \frac{2.4in}{xmiles}

We set them equal.

\frac{0.5}{2.3}=\frac{4.7}{x}

and

\frac{0.5}{2.3}=\frac{2.4}{x}

To solve each proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

2.3(4.7)=0.5(x)\\10.81=0.5x\\\frac{10.81}{0.5}=\frac{0.5x}{0.5} \\21.62 miles=x

and

2.3(2.4)=0.5(x)\\5.52=0.5x\\\frac{5.52}{0.5}=\frac{0.5x}{0.5} \\11.04 miles=x

8 0
3 years ago
What is 7999 +9100=?????????
Mama L [17]

the answer is 17099

6 0
3 years ago
Evaluate 17 + x<br> when x = 16
Vesnalui [34]
Answer: 17+ 16 = 33

Good luck !
3 0
3 years ago
workers on the simile line produce 4 x + 6 bolts each day which expression shows how many books they produced in 12 days
kakasveta [241]
4x+6 is produced each day.
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