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Please be very careful with writing down all calculations step by step and also explain all conclusions and results thoroughly in words using mathematical language:
1. All solutions to the differential equation y'-2y=0 should also be solutions to the differential equation y''-ay'+ay=0. Determine the constant a such that this is true.
2. Determine if the inverse applies for this value of a, that is, if all solutions to y''-ay'+ay=0 are solutions to y'-2y=0.
a motel clerk count his $1 and $10 bills he find he has a total of 46 bills combine value of $154 find the number of bills denomation.
a student averages 84 on five tests. If the student received grades of 84, 82, 81 and 79 on the first four exams, what grade did the student receive on the fifth exam?
a roadside picnic area is located at the 1453 km marker of a highway . the next picnic area is at the 1615 km marker . Calculate the distance between the two areas.
A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 cent stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than the number of 8 cent stamps.
A square has a 40-cm diagonal. How long is each side of the square? Round your answer to the nearest tenth of a centimeter.
Please show the how to solve the following. Please offer as much explanation as possible. Graph a function on the interval [-2,5] having the following characteristics:
A total of 255 tickets were sold for the school play. They were either adult tickets or student tickets. the number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
One end of a rope is attached to the top of a pole 100 ft high. If the rope is 150 ft long, what is the maximum distance along the ground from the base of the pole to where the other end can be attached? You may assume that the pole is perpendicul..
Linear systems using the Reduced Row Echelon technique, as demonstrated in class. If there is no solution, explain why not.
Find the length of an arc intercepted by an a central angle of .769 radian on a circle with radius 11.4cm.
Find the Riemann sum for the function f(x) = x^2 on the interval [-4, 2] where the constituent subintervals are [-4,-3], [-3, 0], [0, 2], and the evaluation points are at the left-hand endpoint of each subinterval. Your answer should be an integer..
Set up SEIR diagrams, explain the meaning of all variables and parameters for the following infection systems smallpox-type pathogen (with life-long immunity) spreading in a homogeneous community with natural mortality - u (mu)
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