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paula humphrey

paula h.

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Find the equation of the tangent line to $f^{-1}$ at the point $P(1, 1)$ for $f(x) = \sqrt{5 - 4x}$. Provide your answer below:

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An electronic device needs 9V AC to operate. Its transformer is plugged into a 120V AC source (power line) and has 520 turns for the primary coil.

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Theories of development that say growth occurs in stages or in a succession of changes are known as Group of answer choices cognitive continuous humanistic psychodynamic discontinuous

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Discussion Question 6-9 (LO. 1) Monique owns a building that she leases to an individual who operates a grocery store. Rent income is $10,000, and rental expenses are $6,000. On what Form 1040 schedule or schedules are the income and expenses reported?

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The concentration of dissolved oxygen (O2) in a 10 oC solution at equilibrium with the atmosphere was 11.28 mg/L. Find the Henry's law constant, in units, of this dissolved oxygen at 10 oC.

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Assignment 9.1: Polar Coordinates Score: 85/180 14/18 answered Question 1 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi for $\pi$. $r > 0$ and $0 < \theta < 2\pi$ $r < 0$ and $0 < \theta < 2\pi$

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Question 6 (1 point) Decision analysis is not a method for reducing uncertainty in the decision making process through data analysis True False

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A couch and 3 identical chairs cost $1760. The chairs cost 40% as much as the sofa.

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2. (4 points each) (a) Consider a population of bacteria that is modeled by $y' = ay$ in the absence of forcing. If it takes $T = \ln(2)/3$ units of time for the population to double, find the growth constant $a$. (b) With the same bacteria from (a), if we start with 100 individuals at time 0, add 50 individuals at time $t = 4$, and begin harvesting at a constant rate of 10 individuals per unit time, starting at time $t = 6$, write a new initial value problem to model this situation. You do not have to solve it.

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1. Find the vectors whose lengths and directions are given. Try to do the calculations without writing. Length Direction a. 7 k b. $\sqrt{5}$ $-i$ c. $\frac{1}{2}$ $\frac{4}{5}j + \frac{3}{5}k$ d. 7 $\frac{2}{7}i - \frac{3}{7}j + \frac{6}{7}k$ 2. Write a in the form a = a<sub>T</sub>T + a<sub>N</sub>N without finding T and N. r(t) = (1 + 2t)i + (t - 5)j - 9tk 3. Write a in the form a = a<sub>T</sub>T + a<sub>N</sub>N at the given value of t without finding T and N. r(t) = (t + 5)i + (-2t)j + (t<sup>2</sup>)k, t = 1 4 Write a in the form a = a<sub>T</sub>T + a<sub>N</sub>N at the given value of t without finding T and N. r(t) = (6e<sup>t</sup>$\sqrt{6}$)i + (6e<sup>t</sup> sin t)j + (6e<sup>t</sup> cos t)k, t = 0

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