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show that y= c1e^x +c2^2x is the general soloution of ydobledash -3ydash+2y=0


Assuming there are two goods X and Y and two persons, analyze the exchange of goods between the two using the Edge worth Box framework indicating the Pareto efficient allocation 


The utility function for a consumer utility is U=30Q11/2Q21/2 . If the price per unit of Q1 is Kshs 10 and Kshs 5per unit of Q2, determine quantities Q1 and Q2 that the consumer should have to maximize utility if the consumer budgeted Kshs 350


Atmospheric pressure P

 in pounds per square inch is represented by the formula P=14.7e^−0.21x

where x is the number of miles above sea level. To the nearest foot, how high is the peak of a mountain with an atmospheric pressure of 8.163

pounds per square inch? Hint: There are 5280 feet in a mile.


Atmospheric pressure P in pounds per square inch is represented by the formula P=14.7e^−0.21x, where x is the number of miles above sea level. To the nearest foot, how high is the peak of a mountain with an atmospheric pressure of 8.163 pounds per square inch? Hint: There are 5280 feet in a mile.


In a water tank there is 12.0 liters of water at a temperature of 44.0 °C. Boiling water at 100.0 °C is poured into the tank until the water is at 90.0 °C. How many liters of boiling water was poured into the tank? The specific heat capacity of liquid water is 4.19 kJ/kg/°C.

Bismuth-213 is used in radiation therapy to treat leukemia, while strontium-89 is utilized to treat bone metastasis. Write the isotopic symbols of the two atoms. How many protons and neutrons does each atom have?

Explain the difference between claperyon equation and Clausius claperyon equation

Given: Four-25-mm-diameter rivets with an axial load of

T = 75 kN distributed equally as shown. The thickness of

the plates is 25 mm and width of plate is 150 mm.

find (a) the shear stress on the rivets

(b) the bearing stress between a plate and a rivet;

(c) the minimum average tensile stress in each plate.


Determine the gross area of steel needed to design

the bar force members at BC, BE, and AE.

Stress in steel is A36 = 36 ksi


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