Differential Equations Practice Quiz

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

• A

• B

• C

• D

Tags

CCSS.HSF.LE.A.2

dy/dx = 4x/y.  Suppose y(0)=1
The particular solution is

• B
• C
• D
• E

Tags

CCSS.HSA.REI.A.1

Water flows continuously from a large tank at a rate proportional to the amount of water in the tank, modeled by dy/dt = ky.  There was initially 10,000 ft^3 at t=0.  After 4 hours there were 8000 ft^3 remaining.
What is the value of k in the differential equation (calculator)

• -0.050
• -0.056
• -.169
• -.200

Tags

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Consider the differential equation dy/dx = x + 2y for which g(x) is the solution.  Which of the following statements is true if the particular solution contains (0,-1)

• g(x) is increasing and concave up
• g(x) is increasing and concave down
• g(x) is decreasing and concave up
• g(x) is decreasing and concave down

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Y is proportional to the difference of x and z

• y= x-z

• y= k(z-x)

• y= k(x-z)

• y= z-x

Tags

CCSS.6.EE.C.9

y is proportional to the product of z and the square root of x

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

Find the mistake if possible:

• The Diff EQ is solved correctly

• Step 1 is incorrect. The separation of variables wasn't done correctly.

• Step 2 is incorrect. They didn't integrate x² correctly.

• Step 3 is incorrect. They didn't take the reciprocal of x³/3+C correctly.

Tags

CCSS.HSA-REI.B.4B

Answer explanation

Tags

CCSS.HSA.REI.A.1

Answer explanation