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tino4ka555 [31]
3 years ago
14

True or false: A problem is ill-conditioned if its solution is highly sensitive to small changes in the problem data.

Mathematics
1 answer:
marysya [2.9K]3 years ago
4 0

Answer:

True

Step-by-step explanation:

True, a problem is ill-conditioned if its solution is highly sensitive to small changes in the problem data.

However, higher-precision arithmetic will make an ill-conditioned problem better conditioned.

In an ill-conditioned problem, for a small change in the independent variable, there is a large change in the dependent variable.

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solmaris [256]

Answer:

2 3/4 in.

Step-by-step explanation:

66/6 = 11

11(1/4) = 11/4

11/4 = 2 3/4

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3 years ago
A number greater than 18.55 and less than 18.6
yuradex [85]
18.56, 18.57, 18.58 or 18.59?
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3 years ago
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Given that f(x)=2x+2 evaluate f(1)+f(5)
Svetlanka [38]

Answer:

16

Step-by-step explanation:

To solve this, you need to evaluate the function at f(1), which just means that you have to plug in 1 for any x you see in the equation. For example, here f(1) = 2(1) + 2 which simplifies to 4. Next find f(5). By doing the same process you will find that this is 12. The problem asks for f(1) + f(5) so by putting those values in you will get 4+12=16. Hope this helps! :)

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3 years ago
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The amount A of the radioactive element radium in a sample decays at a rate proportional to the amount of radium present. Given
slavikrds [6]

Answer:

a) \frac{dm}{dt} = -k\cdot m, b) m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }, c) m(t) = 10\cdot e^{-\frac{t}{2438.155} }, d) m(300) \approx 8.842\,g

Step-by-step explanation:

a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:

\frac{dm}{dt} = -k\cdot m

b) The general solution is found after separating variables and integrating each sides:

m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }

Where \tau is the time constant and k = \frac{1}{\tau}

c) The time constant is:

\tau = \frac{1690\,yr}{\ln 2}

\tau = 2438.155\,yr

The particular solution of the differential equation is:

m(t) = 10\cdot e^{-\frac{t}{2438.155} }

d) The amount of radium after 300 years is:

m(300) \approx 8.842\,g

4 0
3 years ago
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I bought a box of granola bars at the store that has a volume of 210 cubic centimeters
Naya [18.7K]

Answer:

a and c

Step-by-step explanation:

The volume (V) of a cuboid is

V = lwh ( l is length, w is width, h is height )

The volume is given as 210 cm³

Check each of the dimensions given to determine which give the correct volume

a

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b

V = 14 × 3 × 7 = 294 ← incorrect volume

c

V = 7 × 3 × 10 = 210 ← correct volume

Hence a and c  could be the dimensions of the box


6 0
3 years ago
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