Numerade

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A child exposed to cowpox becomes immune to smallpox. This is an example of... O Cross-protection due to immunological specificity O Allergy response O Delayed hypersensitivity O Opsonization

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4. Show how to make these alcohols by a Grignard reacting with an epoxide. (i) OH 2 ways (ii) OH

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Consider a charge $q_1$ on a metallic ball with radius $R_1$ centered on the point O. The ball is inside of a thick, concentric conducting shell with total charge $q_2$. The shell has an inner radius $R_2$ and outer radius $R_3$. The system is in static equilibrium. Find the electric fields at A and at B. The distance between O and A is a and the distance between O and B is b. 1. $E_A = k \frac{q_1}{2a^2}$; $E_B = 0$ 2. $E_A = k \frac{q_1}{R_3^2}$; $E_B = k \frac{q_1}{b^2}$ 3. $E_A = k \frac{q_1 - q_2}{R_2^2}$; $E_B = k \frac{q_1}{b^2}$ 4. $E_A = k \frac{q_1 + q_2}{R_3^2}$; $E_B = 0$ 5. $E_A = 0$; $E_B = k \frac{q_1}{b^2}$ 6. $E_A = k \frac{q_1}{a^2}$; $E_B = 0$ 7. $E_A = k \frac{q_1 - q_2}{2a^2}$; $E_B = 0$ 8. $E_A = k \frac{q_1 + q_2}{a^2}$; $E_B = k \frac{q_1}{b^2}$ 9. $E_A = k \frac{q_1 + q_2}{a^2}$; $E_B = 0$ 10. $E_A = k \frac{q_1 + q_2}{2a^2}$; $E_B = k \frac{q_1}{b^2}$

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a) Bowers purchased the building in which their corporate office is housed on 1/1/23 for $6,500,000. They put down $1,300,000 cash and had to borrow the remaining amount at 8% over a 20-year term. At the time of the purchase, they had the option to lease the building. The 20-year lease would begin on 1/1/23 and called for annual payments of $450,000 beginning on 12/31/23 for the first 10 years and payments of $400,000 beginning on 12/31/33 for the remaining 10 years of the lease. Brock had the option to purchase the building for $1 on December 31, 2042, at the end of the lease. Did the CFO make the right decision by purchasing the building? Why or why not? Show your work.

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QUESTION 2 Maddy is an aspiring dancer who engages a private teacher to improve her movement. It costs Maddy $50 for each lesson. Maddy gains $300 of benefit from attending 6 lessons and $360 of benefit from attending 7 lessons. Which of the following statements are true: The marginal benefit of attending the seventh lesson is $50. The marginal cost of the seventh lesson is $60. There is insufficient evidence to determine the marginal benefit from the eighth lesson of private teaching. Maddy should attend the seventh lesson.

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2) Factor out the GCF from the polynomials. Do not just state the GCF. e) x(y-3)+2(y-3)

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Determine the longest interval in which the given initial value problem is certain to have a unique twice differentiable solution. Do not attempt to find the solution. $ty'' + 3y = t$, $y(6) = 5$, $y'(6) = 3$ The longest interval is ( , ).

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(Figure 1) shows the velocity graph of a 2.0 kg object as it moves along the x-axis. What is the x-component of the net force acting on this object at $t = 1$ s? Express your answer with the appropriate units.

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Find the derivative of the function $f$ by using the rules of differentiation.\\ $f(x) = 2x^3 - 9x^2 + 3$\ $f'(x) = $

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\sin\left(\frac{7\pi}{6}\right) = \cos\left(\frac{2\pi}{3}\right) = \tan\left(\frac{5\pi}{4}\right) = \csc\left(\frac{\pi}{6}\right) = \sec\left(\frac{\pi}{4}\right) = \cot\left(\frac{\pi}{2}\right) =

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lori b.