Vector Operations
u = <5 , -4> and w = <-10, 6>.
What is the vector 3u + 4w?
<-25, 12>
u = <5, 12> Find the magnitude of u
13 units
f(x) = sin(3x4+e-2x) + 7
What is f '(x)
f '(x) = cos(3x4+e-2x)(12x3-2e-2x)
The hottest planet in the solar system.
What is Venus?
This is the current number of Dunkin' Donuts stores open in the town of Berlin.
u = <-4, 5> and w = <2, -3>
What is the vector 2u - 3w?
<-14, 19>
15
f(x) = x3 + sec2x - x1/2 + 7. Given that F(x) is an antiderivative of f, what is one possible function that F(x) could be?
various... see Mr. T!
The deepest part of the Earth's ocean, this place is located in the Marianas Trench.
What is Challenger Deep?
The outdoor basketball courts, tennis courts, A-Gym, and B-Gym at BHS are all named after members of the BHS family. Name at least 3 of these people
u = <4 , -5> and w = <2 , -8>
What is u dot w?
-32
Find a unit vector in the direction of <2, 7>
<2/sqrt(53) , 7/sqrt(53)> = <.275, .962>
Find the equation of a tangent line to f(x) = x4 - 3x2 + 8 at the point where x = 1.
(y - 6) = -2(x - 1)
OR
y = -2x + 8
In this olympic sport, you may be concerned with the "house", the "button", and a couple of "guards"
BHS's incredible production of Les Miserables starred such names as Dawson Trotman as Jean Valjean and Abby Ferland as this character...
Who is "Eponine"?
u = <6 , -3> and w = <-2 , 10>
What is u dot w and what does it tell you about the angle between u and w (when sharing an initial point)?
-42 --> The angle between the vectors is obtuse
A vector has a magnitude of 10 units and points at an angle 30 degrees counterclockwise from the positive x-axis. Find the component form of this vector.
<10cos30 , 10sin30> = <8.66, 5>
The acceleration of a particle moving horizontally is given by:
a(t) = 24t2 m/s2
Given that the velocity at t = 0 is 12 m/s and the position of the particle on the x-axis at time t = 1 is at the 10 meter mark, create a function modeling the particle's position at any time.
s(t) = 2t4 + 12t - 4
76 Trombones led the big parade down the streets of this Broadway show.
This was the theme of senior hallway during last year's color wars.
What is "Monopoly"?
Give one example of a vector that is "parallel" to u and one example of a vector that is "orthogonal" to u.
Various (see Mr. T)
A vector has a magnitude of 10 units and points at an angle 135 degrees counterclockwise from the positive x-axis. Find the component form of this vector.
<10cos135 , 10sin135> = <-7.07 , 7.07>
What is the area under the curve f(x) = xex from x = 0 to x = 1 (no calculators, exact value needed!)?
1
These are the four railroad spaces on the original Monopoly Board.
What are "Pennsylvania, Reading, B&O, and the Short Line"?
This cautionary song is Mr. T's daughter's favorite dance jam.
What is "Can't Touch This" by MC Hammer?