Numerade

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Use the method of Laplace transforms to solve the initial value problem ; i) $y''-6y+5=0$ $y (0) = 3 , y'(0) = -1$ ii) $y''+4y'+3y = 1$ $y (0) = 1 , y'(0) = 2$

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Question 2 If the price is below the equilibrium level, then the quantity demanded will exceed the quantity supplied. This is known as excess supply excess demand ceteris paribus a price ceiling

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In artificial intelligence ), knowledge and past experiences of human specialists are represented as cases and stored in a database for later retrieval when the user encounters a new case with similar parameters. Group of answer choices True False

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These are parts of the virus except: ? life cycle of an RNA tumor virus capsule that protects genetic material inner core with genetic material viral envelope for some viruses

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Light of wavelength 6.00 ✕ 102 nm passes through a slit of width 0.185 mm. Find the width of the central maximum on a screen located 1.70 m from the slit.

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A monopolist earning economic profit in the short run determines that at its present level of output, marginal revenue is $23 and marginal cost is $30. Which of the following should the firm do to increase profit? Group of answer choices Raise price and raise output. Lower price and lower output. Raise price and lower output. Lower price and raise output. 14. The strategy underlying price discrimination is to: a. charge higher prices to customers who have better access to substitutes. b. charge everyone the same price but limit the quantity they are allowed to buy. *c. increase total revenue by charging higher prices to those with the most

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A high voltage diagnostic system used in impulse tests consists of a high voltage resistive divider. The divider has a total resistance of 50 k$\Omega$ and its low voltage arm resistance of 50 $\Omega$. The total stray capacitance to earth of this divider is 35 pF. i) Calculate the division ratio of this divider. 2 marks ii) Would it be possible to resolve high voltage transient signals with a rise time of 300 ns using this high voltage divider? Justify your answer by calculating the response time of the divider.

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Why is the differentiation of epidermis by the ectoderm considered a form of conditional (non-cell autonomous) specification? (select all correct answers) A. If ectoderm cells do not detect BMP ligands they differentiate into neurons B. Dissociation of ectodermal cells mimics the environment cells experience in an intact piece of ectoderm (animal cap), causing neural differentiation C. If ectoderm cells detect BMP ligands they differentiate into epidermis D. The specification of ectodermal cells to neural lineages is controlled by the amount of Wnt/beta-catenin signaling in the ectodermal cells E. If the Smad1/5 signaling pathway is activated in ectoderm cells, they do not differentiate into neurons

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8 A 2 kg mixture of deuterium and tritium (50:50) undergoes nuclear fusion producing helium (Q-value = 2.8 \times 10^{-12} J). Calculate the total energy released, and the average power output if all the initial mixture is used during a year of continuous and stable operation. [4] 9 A smoke alarm prototype is tested and shows a detector sensitivity (smallest current detectable) for a radiation of approximately 2 $\mu$A. Calculate the activity in Curie corresponding to a 2 $\mu$A current of $\alpha$-particles, and explain why the result is unreasonable for a smoke alarm for home use. [The activity of a typical Am-241 $\alpha$-based smoke detector is - 1 $\mu$Ci.] [4] 10 A scientist discovers a particle and measures its charge (zero) and mass (2.03 u). They conclude that the particle is made of two neutrons bound together. Calculate the binding energy of such particle and explain why the conclusion of the scientist is unreasonable. [4]

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A) The source were at rest. B) How long does it take the wave to travel 4.0 m? A) 0.8s B) 2.4s C) 3.6s D) 8.0s C) Its maximum speed occurs when the object A) is at its highest point. B) is at its lowest point. C) is at the equilibrium point. D) has the maximum net force exerted on it. 5. Here are equations for three waves traveling on separate strings. Rank them according to the maximum transverse speed in the y direction, least to greatest. Wave 1: y(x) = 2.0 mm sin [4.0mx - 3.0sr] Wave 2: y(x) = 1.0 mm sin [8.0mx - 4.0sr] Wave 3: y(x) = 1.0 mm sin [4.0mx - 8.0sr] A) 1,2,3 B) 1,3,2 C) 2,1,3 D) 2,3,1 When a piano tuner strikes both the A above middle C on the piano and a 440 Hz tuning fork, he hears 4 beats each second. The frequency of the piano's A is A) 444 Hz B) 880 Hz C) 436 Hz D) either 436 Hz or 444 Hz

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alyssa h.