HappyCal / Mr. Hansen

Name: _____________________________

10/20/2011 [rev. for clarity]

 

Matching Quiz

Instructions: Label each box as MVT, IVT, EVT, FTC1, or FTC2. Note that the columns are scrambled.

Additional instructions for take-home version: replace “. . .” in each conclusion with correct symbols.

Given: f cont. on [a, b]

 

Concl.:

 

Summary: Every y-value strictly between the endpoints is attained somewhere in the interior.

 

 

 

 

 

Given: f cont. on [a, b] and f differentiable on (a, b)

 

Concl.:



 

Summary: Somewhere in the interior, tangent slope equals secant slope.

 

 

 

 

 

Given: f cont. on [a, b]

 

Concl.:

 

Summary: Every continuous function has an antiderivative.

 

 

 

 

 

Given: f cont. on [a, b]

 

Concl.:

 

Summary: We have a formula for finding definite integrals.

 

 

 

 

 

Given: f cont. on [a, b]

 

Concl.: the integrand evaluated at x, where accum. fcn. = . . .

 

Summary: At least one min and at least one max are attained.