The table below shows the pressure P, in dynes per square centimeter, exerted on the ear by a sound with loudness D measured in decibels.
D 65 85 90 105 110 P 0.36 4.6 9.4 33 52?
A: Use exponential regression to model pressure as a function of loudness. Round the initial value of the model to four decimal places.B: Plot the exponential model along with the data points.C: According to the exponential model, how is pressure on the ear affected when loudness increases by 1 decibel? Report your answer as a percentage.
What will be an ideal response?
B:
?
C: When loudness increases by 1 decibel, pressure increases by 12%.
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Find all the second order partial derivatives of the given function.f(x, y) = cos xy2
A. fxx(x, y) = y2 sin xy2; fyy(x, y) = 2[2y2 cos (xy2) - sin (xy2)] ; fyx(x, y) = fxy(x, y) = 2y[y2 cos (xy2) - sin (xy2)]
B. fxx(x, y) = -y4 cos xy2; fyy(x, y) = - 2x[2xy2 cos (xy2) + sin (xy2)]; fyx(x, y) = fxy(x, y) = - 2y[xy2 cos (xy2) + sin (xy2)];
C. fxx(x, y) = - y2 sin xy2; fyy(x, y) = 2[ sin (xy2)- 2y2 cos (xy2)] ; fyx(x, y) = fxy(x, y) = 2y [sin (xy2)-y2 cos (xy2)]
D. fxx(x, y) = - y2 sin xy2; fyy(x, y) = 2y; fyx(x, y) = fxy(x, y) = 2
Find the area. Round your answer to the nearest hundredth if necessary.Find the area of the triangle with the following measurements:B = 104°, a = 11 cm, c = 18 cm
A. 96.06 cm2 B. 23.95 cm2 C. 99 cm2 D. 192.12 cm2
Find the sum or difference. Write the answer in standard form, a + bi.3i - (-6 - i)
A. 6 - 2i B. 6 + 4i C. -6 - 4i D. -6 + 2i
Add or subtract. Then simplify. If a denominator has two or more factors (other than monomials), leave it in factored form. Express the answer using the denominator of the first fraction when applicable.
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