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- How to solve this equation y'''-4y''+2y'-8y=6e^(x) - x^(2) + 1 using Methods of Undetermined Coefficient.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?. A woman saved GH¢ 30,000 in a bank A, whose rate was x % per annum and GH¢ 20,000 in another bank B whose interest rate was y % per annum. Her total interest in two years was GH¢ 6,400. If she had saved GH¢ 20,000 in bank A and GH¢ 30,000 in bank B for the same period, he would have gained GH¢ 200 as additional interest. Find the values of X and Y
- You are selling fidget spinners for $32 each. If it costs you C(x)=9+x^4 dollars to produce x fidget spinners, is it possible to make more than $40 in profit? Is it possible to have a loss of more than $10,000,000,000?A company wants to increase the 10% peroxide content of its product by adding pure peroxide (100% peroxide). If x liters of pure peroxide are added to 500 liters of its 10% solution, the concentration, C, of the new mixture is given by : C = [x + 0.1(500)] / (x + 500). Then solve: How many liters of pure peroxide should be added to produce a new product that is 28% peroxide?.y=x^2+2x+1 / x^2-2x+1 is equal to y'= -4(x+1) / (x-1)^3 True or False?