Differential equations Questions and Answers

Find all the angles in AABC if side a 24 9 cm side b 15 3 cm side c 28 0 cm

4 6pts Solve the following equation log x 7 log x 8 1

F s 3s 165 15 s 3 Ans f t 3e 3t 2te 3t 3t e 3t

2 Use the following graph of f x to answer the following questions a f 1 b lim f x X 1 c f 4 d lim f x X 4 2

Given the graph of y f x below find the value f 2 Provide your answer below 6 5 4 3 2 3 3 4 in 6

Given the graph of y f x below solve for f x 2 6 5 4 1 4 199 4 6

Is the following scenario a combination problem or a permutation problem A team of 17 softball players needs to choose three players to refill the water cooler Select Select Combination Permutation

Is the following scenario a combination problem or a permutation problem A group of 25 people are going to run a race The top 8 finishers advance to the finals Select Select Combination Permutation

Is the following scenario a combination problem or a permutation problem 5 out of 13 students will ride in a car instead of a van Select Select Combination Permutation

Consider the following function f x x 1 5 2 a Find an equation of the tangent line to the graph of fat the given point y b Use a graphing utility to graph the function and its tangent line at the point 10 101 b S 10 15 20 10 15

The graph shows how the average surface water temperature f of Lake Michigan varies over the course of a year where t is measured in months with t 0 corresponding to January 1 The average was calculated from data obtained over a 20 year period ending in 2011 f F 70 60 50 40 0 2 4 6 8 10 12 t months

Simplify completely assuming both x 0 and y 0 64x7y10

Simplify completely assuming both x 0 and y 0 81x 2y7 Select the correct answer below O 3x yvy O 27x4y x y O 27x4y 3xys 9x y y5 O 3x4y xy O 3x y y

have a tangent line that is nearly horizontal v of must have a tangent line that is nearly vertical I y 2 c x 1 2 RHS xy 4 x 2 c x2 1 213 4 TQ y X and hence y is close to 0 If x is large then xy 4 is large Thus the graph of y m and the gra In both cases we assume reasonable values for b Verify that all members of the family y 2 c x 1 2 are solutions of the differential equation y xy 4 c x2 3 2 c x2 3 2 y LHS c Graph several members of the family of solutions on a common screen y WebAssign Plot V 6

d Find a solution of the initial value problem y xy y 0 4 4 y

Solve the simultaneous differential equations using Laplace transform b dx dy dt dt 2x e t dx dy 3 dt dt given that r x 4 cost Jand 0 when t 0