Formative AP Calculus Unit 7 Diff Equations and solutions

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• B
• C
• D

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• B
• C
• D

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• B
• C
• D

Tags

CCSS.8.EE.C.8B

What is the integral of e^x?

• e^x
• -e^x
• e^x +C
• -e^x + C

The rate of change of Y with respect to x is proportional to the difference of x and z

• dx/dy = x-z

• dy= k(z-x)

• dy/dx = k(x-z)

• dz/dx = z-x

2. Solve the differential equation

𝑑𝑦/𝑑𝑡 =3𝑡²/𝑦 with initial condition

𝑦(2) = 0.

• 𝑦 = ln(15t)

• 𝑦 = 16t³

• 𝑦 = (2𝑡³ − 16)^1/2

• 𝑦 = (2𝑡³ −16)

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.B.5

dy/dx = 4x/y. Suppose y(0)=1

The particular solution is

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• C

• D

• E

Tags

CCSS.HSA.REI.A.1

In drawing the slope field for the differential equation , I would place short slope lines of _________ at the points (0,1), (1,-1), and (2,-2)
  $\frac{dy}{dx}=2x-3y$  

Select all that apply

• -3

• -1

• 2

• 5

• 10

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

Which slope field is represented by dy/dx = x²?

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Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

A puppy gains weight, w, at a rate approximately inversely proportional to its age, t, in months.

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• B

• C

• D

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1