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Question: Temperature-humidity index the temperature humidity index (THI) is given by
THI = t - 0.55(1 - h)(t - 58)
where t is the air temperature in degrees Fahrenheit and h is the relative humidity. If the THI remains constant, find the rate of change of humidity with respect to temperature if the temperature is 70°F (Source: "Temperature-Humidity Indices," UMAP Journal, Fall 1989).
If you were to graph these functions, what feature would appear in the graph at the limiting value? Why?
Find the total distance traveled by the object. Find where the velocity is positive Use interval notation. Find where the acceleration is positive Use interval notation.
Write the statement about an improper integral that, you have derived in part (a), [what the improper integral it. is; convergent or divergent; what its value is if convergent.]
How much will you pay over the life of each loan? How much of that is interest - which option would you choose? Explain your reasoning, taking into account your answers to both (1) and (2).
If a and b are the roots of the equation x^2-3x+5 =0 find the quadratic equation whose roots are a^2-3a+7 and b^2-3a+7.
Use the fact that ln x and ex are inverse functions to show that the inequalities ex = 1+x and ln x = x-1 are equivalent for x > 0.
The volume of a sphere of radius R is v(R)=4piR^3/3. If the radius is increased by delta(r), what is the increase in volume to the first order? Type in your answer using D in place of delta(r).
Economics The participation rate is the number of people in the laborforce divided by the civilian population (excludes military).
An object moves along the path x = 3t and y = cos(2t), where t is time. Write the equation for the line tangent to this path at t = p/3.
Should the government encourage capital investment rather than increased expenditure on labor at this time in order to increase the country's productivity?
Determine the probability for independent events - calculate the probability P(AUBUC)
Find the values of a and b for the curve
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