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He needs message to be 2 digit number. Alice wishes to send him message m = 99, find ciphertext she create? Bob receives the message from Jill - ciphertext c = 71. Determine the message?
Assume first and last columns of the 3 by 5 matrix A are same (not zero). When solving Ax=0, which is free variable? Determine parametric solution to homogeneous equation.
Use Master Theorem to get time complexity of algorithm. Find that asymptotic upper bound (big-O) and verify it using proof-by-induction.
How much should be invested now to provide X in thirty years, 3x in forty years, and 9x in fifty years? Suppose that fund continues to perform as it has in past.
Find how many employees should start at which times of day to meet the requirements with minimum cost. Ensure that number of employees starting at every hour is integer valued.
The waste treatment plant has the settling tank designed with the overflow capacity of 100 m3 per day per m2. Evaluate depth (in ft) of settling tank if retention capacity is 2 hrs.
Compute surface area of sand filters to be used with settling tank of given performance and characteristics as described above.
Tank is made for the retention time of two hours. Evaluate amount of flow settling tank can receive without exceeding design capacity.
Assume that in absence of foxes, the rabbit population increases by 15% per year; in absence of rabbits, fox population decreases by 25% per year. Describe why Volterra-Lotka equations are?
He has the total of 160 flowers with the total of 828 petals. How many red flowers and find number of white flowers he has? Write the explanation on how you solved problem.
Determine and draw equilibrium points and nullclines, and find directions of vector vield between nullclines. Find stability of equilibrium points, and draw phase portrait of system.
Determine all values of x0 for which sequence x0,x1,... will converge to 0 using Newton's method. Illustrate how you found the values and why you believe this is all of values.
Probability that the part produced by the certain factory's assembly line will be defective is 0.026. Determine probabilities that in run of 42 items, the given results ware got.
Use previous 2 parts of question to find the first order non-homogeneous equation which is satisfied by second linearly indpendent solution y2 of original equation.
The ellipse on plane parallel to yz plane has major radius A along z axis, minor radius B along y axis, and center at (xc,yc,zc). Determine explicit nonparametric representation of ellipse?
Label every equilibrium as stable or unstable depending on behavior of solutions which begin nearby, and explain long-term behavior of all solutions.
Determine the basis for subspace T having of matrices in M whose rows add to zero. Determine the basis for subspace S \bigcap T of M. This is set of matrices whose rows and columns add to zero.
Assume we introduce the element of "harvesting", detrimental to rate of growth of both prey and predator, so that equations are altered as follows.
Before the end of August, Jobs 70, 72, 73, and 75 were completed. On August 31, Jobs 72 and 75 were sold. Compute predetermined overhead rate based on direct labor cost.
Solve first IVP to compute height and velocity of container at time t, and then solve another IVP for container falling with open parachute.
For every question, determine as many classes as you can such that equation belongs to class or could be converted, by elementary algebraic transformations, into equation belonging. Verify the findi
Actual manufacturing overhead cost incurred was $74,000 and manufacturing overhead cost applied to Work in procedure was given $70,000. Adjusted cost of goods sold which would appear on income stat
Utilize roster method to write given sets. The set of natural numbers x that satisfy x + 4 = 3. Utilize set-builder notation to write given set.
Present value of perpetuity is equal to present value of perpetuity-immediate paying 36.444 each year. Compute k suppose effective annual interest rate is 2.5%.
If expectation is fulfilled, determine profit? If futures price were $ 1,018, what would you perform? Find what futures price cause to take no action? Explain why?