Hooke’s Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched from its original length. That is, where k is the measure of the stiffness of the spring and is called the spring constant. The table below shows the elongation d in centimeters of a spring when a force of F kilograms is applied.
Sketch a scatter plot of the data.
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Mathematics
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Provide an appropriate response.Explain what is wrong with the statement "The line has no slope."
What will be an ideal response?
Mathematics
Write the vector in the form . Round values to the nearest hundredth when appropriate.
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Mathematics
Find the equilibrium values for B and F.
Chemicals enter a house’s basement air. Let F (t ) and B(t ) be the amount of chemical (in mg m3 ) in the first floor air and the basement air after t minutes, respectively. Let’s suppose that the rate of change of F and B are given by the equations: B'= -0.012 + 0.12 and F' = 0.015 - 0.02F What will be an ideal response?
Mathematics
Write the matrix equation as a linear system of equations. =
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Mathematics