Algebra
What is the definition of an asymptote?
An asymptote is where a graph may approach some line (in an arbitrary direction). However, the graph does not intersect this line.
This organization, founded in 1950, works to empower women to succeed and advance in engineering.
What is the Society of Women Engineers (SWE)?
What is the difference between a secant and tangent line?
A secant line intersects a curve at two distinct points, while the tangent line intersects the curve at one distinct point.
How can we find the area between two curves?
Find the integral of the curve on top for a given interval. Then, on the same interval, subtract the value of the lower, second, integral.
What are the 3 unit vectors for the three different coordinate directions?
i j k
What is the value of x in the function:
24(x) + 8 = 1016
x = 42
This famous aerospace engineer and astronaut, a member of SWE, became the first American woman in space in 1983.
Who is Sally Ride?
3e3x
What is the integral of y=tan2x
tan(x)-x+C
-2i+5j-4k
Unit vector is (-2i+5j-4k)/sqrt(45)
What are the value(s) of g?
56g2+15g=-1
x = -(1/7)
y = -(1/8)
Who are some founding members of your local SWE chapter?
Idalia
Sabrina
Natalie
Camila
Anahi
Hozho
What is the equation of the tangent line to y=x3+4x2+1 at x = 1
y = 11x-5
Find the orthogonal trajectories of x2+2y2=k2
y=x2C
Find the derivative of f(x,y)=x3-2x2+y3 in the direction of pi/6 from the positive x-axis.
(12-sqrt(3))/2
Solve the system of equations (Note: if you find both ordered pairs, you will be receiving 450 points rather than 400. Also, provide your answers unsimplified):
3x+2y = 16
x2+y=10
(2.35, 4.47) and (-0.851, 9.30)
Who is our academic advisor?
Dr. Theresa Aragon
What is the derivative of x2ln(x)? For an extra 20 points, tell me the domain of the function.
Derivative: 2xln(x)+x
Domain:{x|x>0}
What is the infinite series behavior of
(n2+n)3n2
----------------
n(2n2+2n)4
Divergent
Find the where the min or max occurs of f(x,y)=2x2+y2-2xy-8x-2y+2.
There is a min at the xy-coordinate of (5,6)
Natural logs are gross! Let's get rid of them:
ln(x2-4)+ln(x-1)=ln(2x+3)+2
(x2-4)(x-1) = (2x+3)e2
Easy 500! Write down what you want to see from SWE at CNM.
Please give your written responses to Idalia.
Find the derivative of (2x2+2)-4(x2+1)5
x/8
What is the area of one of the loops concerning the polar function sin2(2theta)? It may be useful to provide a visual of what the function looks like.
1/2
Define the tangent plane and normal line to xyz = -4 at the point (2,-1,2).
-2(x-2)+4(y+1)-2(y-1) = 0
t= (-(x-2)/2) = ((y+1)/t4) = (-(y-2)/2)