Euler’s method and logistic growth

dy/dx=x-y and f(3)=1

Use Euler's method with two steps to approximate f(6)

• 4.5

• 5

• 4.75

• 6.5

Tags

CCSS.HSA.SSE.A.1

• 1

• 7

• 3

• 0

dy/dx=3x+2y+1 and f(0)=-2

Use Euler's method start at x=0 with step size of 1/2, to approximate f(1)

• -9/2

• 13/4

• -23/2

• -23/4

Tags

CCSS.HSA.SSE.A.1

which of the following differential equation for a population for P that showing above?

• dP/dt=0.2p-0.001P²

• dP/dt=0.1P-0.001P²

• dP/dt=0.2P²-0.001P

• dP/dt=0.1P²-0.001P

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSA.SSE.A.1

dP/dt=p/50*(35000-P)

what is the carrying capacity?

• 50

• 700

• 10000

• 35000

Tags

CCSS.HSA.SSE.A.1

dP/dt=7P/100*(1-P/1200) where initial value are 10.

find value of t which P(t) growing fastest

• 100/7

• 10

• 600

• 1200

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

dy/dx=x-y and y(0)=1

Use Euler’s method with a step-size of 0.5 to approximate y(1.5)

• 0.25

• 0.5

• 0.75

• 1

y'=x+y and y(1)=2

Use Euler's method with two steps of equal size to approximate y(3)

• 12

• 7

• 5

• 3

which graph is solution of the differential equation dy/dx=y*(10-y/60)?

• 
• 
• 
• 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

dP/dt=P*(0.1-P/1800000) and P(0)=3000

find value of t which P(t) growing the fastest

• 3000

• 90000

• 120000

• 180000

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1