Questions asked
(a) Show that when a ship is grounded on its centreline during docking, the transverse stability of the ship reduces by: $\frac{P \times KM}{\Delta}$ Where: $\Delta$ is the displacement KM is the distance from keel to metacentre P is the upthrust at the point of grounding. (b) A vessel 120 m long and 10000 tonne displacement enters dock with draughts 7.6 m aft and 6.7 m forward. KM = 8 m and KG = 7.6 m. MCT 1cm = 110 tm and LCF is at midships. Calculate the GM at the instant the ship grounds on the blocks.
Economists assume consumers select a bundle of goods that maximizes their well-being subject to relative prices. their budget constraint. their marginal rate of substitution. their wealth.
Multiply and simplify. Write your answer in the form \( a+b i \). \( (3-i)(1+2 i)= \) type your answer...
What is the Big Bang theory, and how does it describe the origin and evolution of the universe?
A limitation of the feature-analysis approach to object recognition is that: Group of answer choices - there is no neuroscience evidence for this approach. - it cannot explain how we perceive an object from different viewpoints. - it can only explain colored objects. - it can only explain how we perceive large objects.
The graph above shows the position of an object in simple harmonic motion as a function of time. What are the first three times after zero at which the object passes through its equilibrium position? t = 0.2 s 0.5 s 1 x s What is the period of the object's harmonic motion? T = 0.4 s What are the first two times after zero at which the object has its maximum magnitude displacement from equilibrium? t = s s What is the absolute value of the maximum displacement? x = m
Assume that all of the functions are twice differentiable and the second derivatives are never 0. (a) If f (x) and g(x) are concave up on an interval I, show that f (x) + g(x) is concave up on I. (b) If h(x) and k(x) are positive, increasing, concave up functions on an interval I, show that the product function h(x) · k(x) is concave up on I. (c) Show that part (b) remains true if h(x) and k(x) are both decreasing.
Set up an iterated integral for $\int_0^3 \int_{5y^2}^{45} \int_0^3 f(x, y, z) \, dx \, dz \, dy$ in the order $dy \, dz \, dx$.
3. (34) The circuit shown below is operating under sinusoidal steady-state conditions. The impedance $Z_A$ draws an apparent power of 10,000 VA at a power factor of 0.85 lagging while the impedance $Z_B$ draws an apparent power of 11,000 VA at a power factor of 0.9 leading. Find the values of the impedances $Z_A$ and $Z_B$, determine the phasor currents $I_A$ and $I_B$, and find the complex power for each of the impedances.
Find the inverse Laplace transform: a) $F_1(s) = \frac{2s + 6}{s(s^2 + 3s + 2)}$ b) $F_2(s) = \frac{s^2 - 5}{s(s + 1)^2}$ c) $F_3(s) = \frac{2s + 6}{(s + 1)(s^2 + 2s + 5)}$
