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A tie member of length 3.0 m between the intersection carries ultimate axial tension of 325 kN. The end connection is to be made using M20 bolts of product Grade C and property class 4.6. The grade of steel is E250. Design a pair of equal angle section placed on each side of gusset plate. Draw schematic diagram showing Plan and Section


Consider an economy descried by the production function: 𝑌 = 𝐹(𝐾, 𝐿) = 𝐾0.3 L0.7


a) Derive the per-worker production function


b) Assuming no population growth or technological progress, find the steady state capita stock per worker, output per worker and consumption per worker as a


function of the saving rate and depreciation rate.


c) Define the Golden rule level of capital.


d) Under the Solow growth model, explain the effects of population growth on the steady-state level of capital and on output per worker (Show on a sketch).


The Malayo Colleges Mindanao recently conducted a study analyzing the privacy management habits of teen internet users. In a group of 181 teens, 64 reported having more than 100 followers on Twitter. Find the point estimate of a 90% confidence interval for the true proportion of teens who would report having more than 100 followers on Twitter.





Give your understanding of a good research design. Is single research design suitable in all research


studies? If not, why?


A coin is biased such that it is 1:2 for heads. If the coin is tossed 6 times, find the probabilities of obtaining various number of heads. 


A rain drop of mass 3gm starts to fall from rest under the effect of gravity from a height of

100m. There is an air drag acting on the rain drop, the drag force is given by the equation,

Fd = bv.

Here, b = a × 10-3kgs-1s

a = 2

(a) Determine the governing differential of the system.

(b) Build a SIMULINK model of the system using transfer functions.

(c) Show velocity vs time graph with and without the effect of air drag on the same

plot.

(d) Show height vs time graph with and without the effect of air drag on the same

plot.

(e) From your graphs, determine the approximate time required for the rain drop to

reach the ground.


Consider an economy descried by the production function: 𝑌 = 𝐹(𝐾, 𝐿) = 𝐾^0.3L0.7.


a) Derive the per-worker production function


b) Assuming no population growth or technological progress, find the steady state capita stock per worker, output per worker and consumption per worker as a


function of the saving rate and depreciation rate.


c) Define the Golden rule level of capital.


d) Under the Solow growth model, explain the effects of population growth on the steady-state level of capital and on output per worker (Show on a sketch).

Find the slope of the tangent line of the given function f below.





f(x)=x²+1

Find the slope of the tangent line of the given function f below.




f(x)=x²+1

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