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- What is the particular solution for y′=6ex+7x3−7x+1 such that y(0)=−4?On a college campus of 5,000 students, one student returns from vacation with a contagious flu virus. The spread of the virus is modeled by: y=5000/(1+4999e-0.8t) t is greater than or equal to 0 Where y is the total number infected after t days. The college will cancel classes when 40% or more of the students are infected. After how many days will the college cancel classes?A researcher in physiology has decided that a good mathematical model for the number of impulses fired after a nerve has been stimulated is given by y=−x2+40x−50, where y is the number of responses per millisecond and x is the number of milliseconds since the nerve was stimulated. (a) When will the maximum firing rate be reached? (b) What is the maximum firing rate?
- 5. A fast food restaurant has a cost of production C (x) = 14x + 171 and a revenue function R(x) = 5x. When does the company begin to turn a profit?Non Homogeneous: (D2 − 7D + 6)y = 3x2 − 2x + 5For x>0 the area of the triangle with vertices (0,0), (x,2x), and (x,0) is 64 square units. What is the value of x?