Transcript 1271253169_jeopardychapter_2_part_2

Jeopardy
Derive that
log!
Implicitly
Speaking
Related
Rates
Newton
Rocks
All Jumbled
Up
100
100
100
100
100
200
200
200
200
200
300
300
300
300
300
400
400
400
400
400
500
500
500
500
500
Derive that log!
-100
Find y’ for
y = ln x2
Answer:
y’ = 2/ x
NEXT QUESTION
Derive that log!
-200
Find y’ for
y = 5 3x - 2
Answer:
y’ = 3ln (5) 5x-2
NEXT QUESTION
Trivia-300
What current branch of the
U.S. military was a corps of
only 50 soldiers when World
War I broke out?
Answer:
U.S. Airforce
NEXT QUESTION
Derive that log!
- 400
Find y’ for y =log10 2x
Answer:
1/(x ln 10)
NEXT QUESTION
Derive that log!
- 500
Find y’ for y = log5 (x2 – 1)3
Answer:
6x/((ln5)(x2 – 1))
NEXT QUESTION
Implicitly Speaking
100
Find dy/dx for
x2 + 3xy + y3 = 10
Answer:
dy/dx = -(2x + 3y)
3(x + y2 )
NEXT QUESTION
Implicitly Speaking
200
Find dy/dx for:
cos
x2
=
xey
Answer:
dy/dx = - ey - 2x sinx2
xey
NEXT QUESTION
Implicitly Speaking
300
Find dy/dx for:
Answer:
x sin y = y cos x
dy/dx = y sin x + sin y
cos x – x cos y
NEXT QUESTION
Trivia-400
How many
flowers are in the
design stamped
on each side of an
Oreo cookie?
Answer:
Twelve, each has 4
petals
NEXT QUESTION
Implicitly Speaking
500
Find the equation of
the tangent line for the
function
Answer:
y = -1/2 x + 5
x2 + y2 = 20 at (2, 4)
NEXT QUESTION
Trivia -100
What is the top
selling spice in the
world?
Answer:
Pepper
NEXT QUESTION
Related Rates
-200
The edges of a cube are
expanding at a rate of 5
centimeters per second.
How fast is the surface
area changing when each Answer:
edge is 4.5 cm? Surface
2 / sec
270
cm
Area, A = 6x2
NEXT QUESTION
Related Rates
-300
A 5 meter long ladder is learning
against the side of a house. The Answer:
foot of the ladder is pulled away
-0.3 m/sec
from the house at a rate of 0.4
m/sec. Determine how fast the
top of the ladder is descending
when the foot of the ladder is 3
meter from the house.
NEXT QUESTION
Related Rates
-400
Two boats leave the same port at the
same time with boat A traveling north
at 15 knots per hour and boat B
traveling west at 12 knots per hour.
How fast is the distance between the
two boats changing when boat A is 30 Answer:
knots away and boat B is 24 knots
19.2
away?
knots/hr
NEXT QUESTION
Related Rates
-500
A cylinder with a radius of 4 cm and a
height of 12 is being filled with water.
The water’s height is increasing at a rate
of 2 cm/min. Find the rate of change of
the volume of the cylinder with respect to
time when the height is 10 cm.
Answer:
209.43 cm3 / sec
NEXT QUESTION
Newton Rocks
-100
Approximate the real zeros of the
function using Newton’s method:
f(x) = x3 + 2x + 1
Answer:
Approx. -0.453
NEXT QUESTION
Trivia -200
What is Europe’s most
mountainous country?
Answer:
Switzerland
NEXT QUESTION
Newton Rocks 300
Approximate the real
zeros of the function using
Newton’s method:
f(x) = x2 – 3x - 1
Answer:
Approx. -.3028
Approx. 3.3028
NEXT QUESTION
Newton Rocks 400
Approximate the real zeros of the
function using Newton’s method:
f(x) = x3 – 3x2 + 3x when x1 = 1
Answer:
NEXT QUESTION
x = Cannot be
determined
using Newton’s
method
Newton Rocks 500
Use Newton’s Method to
approximate the x values of any
points of intersection of the graphs
f(x) = x4 and g(x) = x + 3
Answer:
Approx. – 1.164
NEXT QUESTION
All Jumbled Up 100
Answer:
Find the derivative of
1/(2x)
F(x) = ln (x)1/2
NEXT QUESTION
Trivia -200
What color are a zerbra’s
black stripes during the
first 6 months of it’s life?
NEXT QUESTION
Answer:
brown
All Jumbled Up An airplane flies at an 300
altitude of 5 miles toward a
point over an observer that
is standing .5 miles to the
west. The speed of the
plane is 400 miles per
hour. Find the rate at
which the angle of
elevation is changing.
NEXT QUESTION
Answer:
79.36 rad/hour
All Jumbled Up 400
Find the slope of the
tangent line for the
equation:
Answer:
y lnx + y2 = 0
m = -1/e
at the point ( e, -1)
NEXT QUESTION
All Jumbled Up 500
A woman 5.5 feet tall
walks at a rate of 4 feet
per second away from a
light that is 10 feet above
the ground. At what rate
is the length of her
shadow changing?
NEXT QUESTION
Answer:
4.89 ft/sec
Daily Double
Daily Double