Find a unit vector in the direction of vector v=<-5, 12>
Then Find a vector r in the direction of v with a magnitude of 2
u=<-5/13 , 12/13>
r=<-10/13 , 24/13>
100
Use the properties of intergrals and the given information to evaluate each intergral.
9,2ʃ f(x)dx=7
7,2ʃ f(x)dx=5
9,7ʃ f(x)dx=3
A: 9,7ʃ 4f(x)dx=?
B: 7,2ʃ 2f(x)-3dx=?
A:12
B:7
200
What is the definition of series and sequence?
sequences- pattern of numbers
series- sum of the sequence
Find all values on the interval [0, 2pi] that are solutions to -csc x = √2
-5pi/4
-7pi/4
300
A ball is dropped from a height of 10 m. Each time the ball hits the ground, it rebounds 7/10 the distance that it drops. How many bounces will there be until the rebound is less than 1 cm?
20 bounces
300
Find each indefinite intergral:
ʃ3x^4-2x^2+4/x^2 dx
x^3-2x-4x^-1+C
400
Apox. how many omelets can an ostrich egg make?
~11.5 omelets
400
Factor f(x)= x2-2x-15 completely then use synthetic division.
(x-5)(x-3)(x+3)
400
The half-life of a superstar is 2424 years, what percent of the orginal amount will remain after 200 years?
94.441%
400
A large barge weighing 12,000 lbs is pulled by two tugboats. Rope A is at 40 degrees, Rope B at 30 degrees. Find the tension in each rope.
A=6,385.067 lbs
B=8,298.483 lbs
400
Find the Derivative:
2x^2-3x+4/x
2-4/x^2
500
How many words are in the average human vocabulary?
5,000-6,000
500
State the zeros, vertical and horizontal asymptotes,and holes.
x^4-4x^2/ x^3-x^2-6x
holes:-2
zeros:2,0
VA:0,3
HA: y=0
500
Find all the values that are solutions to the equation:
0, 4pi + 4pi n
3pi/3, -3pi/3 + 4pi n
500
An airplane's air speed is 720 mph in the direction S 30 degrees W. Because of the wind, the resultant ground speed is 716 mph S 28 degrees W. Find the magnitude and direction of the wind.