Need help with screenshots 1 through 12. However, note that there are not 12 total problems! Only 10. 1, 2, 5, 6, 7, 8, 9, 10, 11, and 12. If you need any more information that what is already provided, please do comment below and I will reply to your comment with whatever you need! Please number your solutions exactly as I have. THANK YOU!

1 The Cobb-Douglas production function for a particular product is N(x,y) = 80x0'6y0'4, where x is the number of units of labor and y is the number of units of capital required to produce N(x, y) units of the product Each unit of labor costs $40 and each unit of capital costs 380' If $200,000 is budgeted for production of the product, determine how that amount should be allocated to maximize production. Production will be maximized when using units of labor and units of capital. Help Me Solve This View an Example Get More Help . m 2 Find the double integral over the rectangular region R with the given boundaries. JJ ( 3X2 + 4y? ) dy dx; -45x54, - 45y54 . . . . . IS (3x2 + 4y?) dy dx =(Simplify your answer.) R Help Me Solve This View an Example Get More Help Next5 Solve the differential equation, subject to the given initial condition. ay + 4y = 3x2; X dy y(2) = 15 y = Help me solve this View an example Textbook NextO Use the population growth model, where y is the population at time t and f(t) is some (other) function of t that describes the net effect of the emigration/immigration. Assume k = 0.02, y(0) = 18,000, f(t) = - t. Solve this differential equation for y. " = ky + f ( t ) Write the equation in the linear form x ay + P(x)y=Q(x). Choose the correct answer below. dy O A. - 0.02y = -t+- dy dt OB. dt - t = 0.02y O c. ay + t = 0.02y dt OD. - ay + (- 0.02y) = -t dt The solution is y = Round to the nearest hundredth as needed.) Help me solve this View an example Textbook Next7 If a population is changed by either immigration or emigration, a model for the population is - = ky + f(t), where y is the population at time t and f(t) is some function of t that describes the net effect of the emigration/immigration. Assume that k = 0.02 and y(0) = 10,000. Solve this differential equation for y, given that f(t) = 7t. O A. y= - 350t - 17,500 + 27,500 e - 0.02t O B. y= 350t - 17,500 + 27,500 e - 0.02t O C. y= 350t + 17,500 + 27,500 e - 0.02t O D. y= - 350t - 17,500 + 27,500 e 0.02t Next8 Find the particular solution for the initial value problem. dy = ( y - 2) 2 e x - 4 ; y ( 4 ) = 3 y = Help me solve this View an example Textbook NextCO dy 9x + 7 Find the particular solution for the equation dy = v_ , given y = 2 when x = 0. . . . . . Choose the correct particular solution for the equation. O A. y2 - 34y= 9x2 + 14x - 64 O B. y2 - 2y= 9x2 + 14x O C. y2 - 4y= 9x2 + 14x - 4 O D. y2 - 8y= 9x2 + 14X - 12 Help me solve this View an example Textbook Next10 Find the general solution for the differential equation 8y = 5x. dy= Choose the correct answer below. . . . . . O A. 5x3 y= 12 + C O B. 12x3 v2 = - 5 C O C. 5x3 v2 = - 12 OD. 12x3 y= _ 5 -+ C Help me solve this View an example Get more help - NextFind the general solution for the differential equation. Help me solve this \\ew an example Get more help A m 12 Solve the differential equation subject to the initial condition. dy + dx - + y= 2ex; y(0) =21 O A. y=4e2 + 20e -X O B. y= ex +20e -X O C. y=2ex + 18e -x OD. y= 21ex