Questions asked
A person is 1.9 mm tall. Where should he place the top of a mirror on the wall so he can see the top of his head? Assume his eyes are 4.6 cmcm below the top of his head. Find a minimal vertical distance from the level of the person’s eyes to the top of the mirror.
Strawberry Picking Sally and Rachel both know about a super secret strawberry field on the land behind their houses. Both Sally and Rachel must choose how long to wait before they go and pick the strawberries. The longer into the season they wait, the better the strawberry picking is (better taste). However, it is the person who shows up first that gets all of the berries, leaving nothing for the other person. Let T be the time at which the first person shows up to pick berries. That person gets payoffs Ui = T and the other person gets benefits 0. If they show up at the same time T, they both get payoffs T / 2. There are no costs. In the pure strategy Nash equilibrium of the game Question 11 options: Both players show up at T = 0. The strawberries such and the the payoffs are 0. The players show up at some common time T* > 0 and split the harvest. One player shows up at T = 0. The other shows up at some T > 0.
Find \frac{d}{dt}[\vec{v}(t) \cdot \vec{w}(t)] at t = -2 given \vec{v}(-2) = <1, 2, -1>, \newline \vec{v}(-2) = <3, 0, 4> and \vec{w}(t) = <t, t^2, \frac{1}{t}>. \newline \frac{d}{dt}[\vec{v}(t) \cdot \vec{w}(t)]|_{t=-2} =
Question 8 Which of these terms best describes a situation when arms buildups and modernization programs are interpreted as aggressive rather than defensive behavior, while similar behavior on the part of the self is held to be benign. O Detente O Coercive Diplomacy O Compellence O Deterrence O Security Dilemma O Risk Reduction O Threat Assessment
Question 5 [total mark value: 30] Next, you want to develop an animal model for the disease. Cultures of the bacteria isolate are fed to infant mice via oral gavage. Mice given the bacteria results in intestinal inflammation and severe diarrhea (right), while mice given media only with no bacteria remain healthy (left).
2. Typing (25 points) Write an expression of the following types in OCaml. You cannot use type annotations, and all pattern matching must be exhaustive. (a) string -> 'a -> string (b) 'a -> 'a -> bool -> 'a Given the following OCaml expressions, write down its type. (c) fun a b -> let c = a = b in if c then 2 else 3 (d) fun abcd -> if a && let x = b > c in x then d + 1 else b (e) Which of the following choices could be the type of the python lambda below? Select all that apply. ( lambda x,y: x + y A. int -> int -> int B. string -> int -> string C.list -> list -> list D. float -> int -> float E. None of the above
The demand function for a product is given by , Find the Elasticity of Demand at a price of $9. Give your answer to three decimal places. E(9) = At this price, we would say the demand is: Inelastic Elastic Unitary Based on this, to increase revenue we should: Lower Prices Keep Prices Unchanged Raise Prices
While parking in front of a cement wall, a 42-year-old male is distracted and turns his head to the side. As he turns forward again, he is surprised by his proximity to the wall and his foot hits the gas rather than the brake. He crashes forcefully into the wall jolting his head forward. The headrest protects him from resulting whiplash. However, the sudden, forceful flexion of his head and neck results in severe hyperextension injury to the upper half of the cervical column. He comes to your clinic with complaints of pain and stiffness in the neck. Describe what you would do to assess his problem and gain a better insight to the site of the lesion. Explain to the patient what injury has occurred and what are your recommendations for his recovery
The power function that describes the final behavior of the following functions is g(x) = 3x^4 + 2x^3 - 8x + 1. a. x^2 b. x^4 c. 3x^1 d. 3x^2
2. A 0.44-mol sample of a perfect gas expands isothermally from an initial volume of 1.0 L to a final volume of 10.0 L. The temperature of the gas is 275 K. Calculate $w$ if; a. The expansion is done against a constant external pressure of 1 bar. Give your answer in joules or kilojoules. (1 bar.L = $10^2$J) b. The expansion is done reversibly. Again, give your answers in J or kJ.
