12:51 . LTE ( 7 X Test by Srivishnu Piratla - Issuu . . . & issuu.com READ MORE SHARE Big 10 Unit 7 Review Instructions: In the box below are the numbers 0 - 9. Complete the following and cross off the number for each answer. If you complete all problems correctly, you will cross off each number exactly once! 8 1 2 3 1 5 8 7 8 9 1. Consider the differential equation dx dy = 21. Let y = f(x) be the particular solution to the differential equation with initial condition f (3) = 5. Use separation of variables to find an expression for f(x) of the form f(x) = var2 + b. What is a + b? 24 = x2 +C 12.5 = 9+c f ( ) = V2x2+7 C = 3.5 2. Consider the differential equation dy = 3(x -2)(y -3) where y 0. All points in the ry-plane such that d.x dy = 1 are in what quadrant? 8. Consider the differential equation d dy = 212 + y. Using the line tangent to the curve at (1, 2) what is the approximation of f(2)? 2+2= 4 8 . = 16 y - 2 = 4 (R-1 ) you y = 4 (0) +2 y = 6/ 9. Consider the differential equation dy = y. Let y = f(x) be the particular solution to the differential equation with initial condition f(2) = 4. What is lim f(x) dx? I only solution lets 10. Consider the differential equation - = cos(x). Let y = f(x) be the particular solution to the differential equation with initial condition f(0) = 8. What is f( )? y = 4 sin ( x ) te y = Sin (x ) +8 8 = sinlo ) + 6 f ( 3 2 ) = - 1 +8 - 7 8 : 0+