Answer #44 question with steps and explanation to solution
CHECKPOINT SOLUTIONS I, y,-2e"(4)-8- J teduct Rule. )te'(a)-te 4. The rate of decline is given by dS/dx. ds da = 1000e-da(-0.2)--200e-02x ds -200e-4 3.663 sales/day EXERCISES | 11.2 (a) At what value of z will the curve be at its highes (b) Graph this function with a graphing utility to Find the derivatives of the functions in Problems 1-34. point? verify your answer given by 38. (a) Find the mode of the normal distribution 10 y-1-e 12. ye 14, y=e, + ein 16. y=2e. 18. y (e) Use a graphing utility to verify your answer In Problems 39-42, find any relative maxima and minima. Use a graphing utility to check your resalts 22. y = 4(e"),-4e', 24. y In (e1) 26. y=Mn (4x) 40. y 23. y -In (e+ 2) 25. yn (2x) 41, y-x-e* APPLICATIONS 43. 29,y=(a + 4)" 31, y=6' 33, y=4' 35. (a) What is the slope of the line tangent to y 30 32, y=3" - Future value If SP is invested for n years at 10% compounded continuously, the future value that reses after n years is given by the function xe "at Write the equation of the line tangent to the graph S-Peln (a) At what rate is the future value growing at amy i (b) (for any nonnegative n)? (b) At what rate is the future value growing after l y 36. (a) What is the slope of the line tangent to (b) Write the equation of the line tangent to the graph (c) Is the rate of growth of the future value greater than 10%? why? Future value The future value that accrues ofy-e-x/(1 e") at x = 0. + 44. 37. The equation for the standard normal probability dis- is invested at 9%, compounded continuously tribution is S(t) = 700c0 where t is the number of years The mode occurs at the highest point on normal curves and qua the
