y=(1-x)e^x
Use the "Guidelines for sketching a curve A-H"
A.) Domain
B.) Intercepts
C.) Symmetry
D.) Asymptotes
E.) Intervals of increase or decrease
F.) Local Maximum and Minimum Values
G.) Concavity and Points of Inflection
H.) Sketch the Curve
Consider the cross: A/a; b/b; C/c; D/d; E/e x A/a; B/b; c/c;
D/d; e/e
a) what proportion of the progeny will phenotypically resemble
the first parent?
b) what proportion of the progeny will genotypically resemble
neither parent?
Let ∬[a,b]×[c,d]f(x,y)dA denote the integral of f(x,y)over the
region with a≤x≤b and c≤y≤d. Find ∬[0,1]×[0,1]f(x,y)dA given the
following: ∬[0,1]×[1,5]f(x,y)dA=2, ∬[1,2]×[0,1]f(x,y)dA=−1,
∬[1,2]×[1,5]f(x,y)dA=4, and ∬[0,2]×[0,5]f(x,y)dA=3.
Group of answer choices
2
-2
8
0
None of the above.
(6) Consider the function f(x, y) = 9 − x^2 − y^2 restricted to
the domain x^2/9 + y^2 ≤ 1. This function has a single critical
point at (0, 0)
(a) Using an appropriate parameterization of the boundary of the
domain, find the critical points of f(x, y) restricted to the
boundary.
(b) Using the method of Lagrange Multipliers, find the critical
points of f(x, y) restricted to the boundary.
(c) Assuming that the critical points you found were...
Let f(x) = x / (4−x^2) .
(a) Find the domain and intercepts of f(x).
(b) Find all asymptotes and limits describing the end behavior
of f(x).
(c) Find all local extrema and the intervals on which f(x) is
increasing or decreasing.
(d) Find the inflection points and the concavity of f(x).
(e) Use this information to sketch the graph of f(x)