5 Steps to a 5 AP Calculus AB 2019 - William Ma

MA 3972-MA-Book April 11, 2018 12:11

24 STEP 2. Determine Your Test Readiness

Using three midpoint rectangles of equal

widths, find an approximate value of

∫ 6

0

f(x)dx.

0

y

0

y

x x

(A) (B)

0

y

x

(C)

0

y

x

(D)

Chapter 14

46. What is the average value of the function
    y=e−^4 xon [−ln 2, ln 2]?


47. If
    dy
    dx
    =2 sinxand atx=π,y=2, find a
    solution to the differential equation.


48. Water is leaking from a tank at the rate of
    f(t)=10 ln (t+1) gallons per hour for
    0 ≤t≤10, wheretis measured in hours. How
    many gallons of water have leaked from the
    tank after 5 hours?


49. Carbon-14 has a half-life of 5730 years. Ifyis
    the amount of Carbon-14 present andy
    decays according to the equation
    dy
    dt

=ky,

wherekis a constant andtis measured in

years, find the value ofk.

50. What is the volume of the solid whose base is
    the region enclosed by the graphs ofy=x^2
    andy=x+2 and whose cross sections
    perpendicular to thex-axis are squares?