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Suppose that $f(4) = 3$, $g(4) = 5$, $f'(4) = -4$, and $g'(4) = 2$. Find $h'(4)$. (a) $h(x) = 2f(x) + 3g(x)$ $h'(4) = $ (b) $h(x) = f(x)g(x)$ $h'(4) = $ (c) $h(x) = \frac{f(x)}{g(x)}$ $h'(4) = $ (d) $h(x) = \frac{g(x)}{f(x) + g(x)}$ $h'(4) = $ Resources READ IT Use of Cookies

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A public health researcher investigates whether higher health awareness is associated with more physical activity. Data from 10 adults includes: (a) Health awareness score (higher = more healthconscious) and (b) Weekly hours of moderate-to-vigorous physical activity. Can we conclude that health awareness score is positively correlated with the hours of physical activity？(α = 0.10)

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Fill in the Blank Question Fill in the blank question. theory identifies the important dimensions at work in attributions.

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Content attribution QUESTION 4 · 1 POINT Productive efficiency means that starting from a productively efficient point, Select the correct answer below: ? we can produce more of all goods ? we can save resources by producing less ? to increase production of one good, we must decrease production of another ? some resources are left unused Content attribution QUESTION 5 · 1 POINT FEEDBACK

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Suppose that $x = x(t)$ and $y = y(t)$ are both functions of $t$. If $y^2 + x = 13$, and $dy/dt = 3$ when $x = 4$ and $y = 3$, what is $dx/dt$ at that moment?

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Homework Question 15, 6.6.19 Part 1 of 2 HW Score: 57.1%, 57.1 of 100 points Points: 0 of 6 Save In a survey of 1402 people, 1026 people said they voted in a recent presidential election. Voting records show that 71% of eligible voters actually did vote. Given that 71% of eligible voters actually did vote, (a) find the probability that among 1402 randomly selected voters, at least 1026 actually did vote. (b) What do the results from part (a) suggest? (a) $P(X \ge 1026) = \square$ (Round to four decimal places as needed.)

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Suppose at 1:00 PM, you were driving your car and you passed mile marker 110. At 1:15 PM, you passed mile marker 128. What exact speed (in mph) must you have been driving at some point during that time?

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It is observed that 25 kJ of heat is required to raise the temperature of 5 kg of a substance by 10 K. Determine the specific heat of the substance.

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3. (This is more a review question than an exercise.) What are the problems of inclusion and the problems of exclusion of the utilitarian principle that we discussed in class? How would a utilitarian respond to and deal with those problems?

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Question 3 3-1- The upward velocity of a rocket is given as a function of time in Table. t (s) | 0 | 10 | 15 | 20 | 22.5 | 30 v (m/s) | 0 | 227.04 | 362.78 | 517.35 | 602.97 | 901.67 a) Determine the value of the velocity at t = 16s seconds with third order polynomial interpolation using Newton's divided difference polynomial method. b) Using the third order polynomial interpolant for velocity, find the distance covered by the rocket from t = 11s to t = 16s. c) Using the third order polynomial interpolant for velocity, find the acceleration of the rocket at t = 16s. d) Using the third order polynomial interpolant for velocity, find the Jerk of the rocket at t = 16s.

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