1. Let the angles of a triangle be α, β, and
γ, with opposite sides of...
1. Let the angles of a triangle be α, β, and
γ, with opposite sides of length a, b,
and c, respectively. Use the Law of Cosines and the Law of
Sines to find the remaining parts of the triangle. (Round your
answers to one decimal place.)
α = 105°; b =
3; c = 10
a=
β= ____ °
γ= ____ °
2. Let the angles of a triangle be α,
β, and γ, with opposite sides of length
a, b,...
Let p = (8, 10, 3, 11, 4, 0, 5, 1, 6, 2, 7, 9) and...
Let p = (8, 10, 3, 11, 4, 0, 5, 1, 6, 2, 7, 9) and let q = (2,
4, 9, 5, 10, 6, 11, 7, 0, 8, 1, 3) be tone rows. Verify that p =
Tk(R(I(q))) for some k, and find this value of k.
. Find a cubic function f(x) with roots x = 4, x = 1, x =...
. Find a cubic function f(x) with roots x = 4, x = 1, x = −2 and
f(1) = 16.
3. Sketch the graph of f(x) = (x − 2)/x^2−3x−4 showing zeros,
intercepts, and asymptotes.
4. Assume that world population(in billions of people) in t
years since 2016 is given by y = 7.7e^0.01t . When will the
population reach 9 billion?
5. Solve for x: log3 (x + 2) + log3 (x − 4) = 3.
6. Show...
Consider the following set of ordered pairs,
x y
2 6
7 11
1 4
4 ...
Consider the following set of ordered pairs,
x y
2 6
7 11
1 4
4 9
3 7
Assuming that the regression equation is y=3.519 + 1.142x and
that the SSE= 1.5755, test to determine if the slope is not equal
to zero using a=0.05.
Test statistic=
identify the critical values=
and last state the conclusion
let A (1 , 2, -3), B (2, 1, 4) and C (0, 0, 2) be...
let A (1 , 2, -3), B (2, 1, 4) and C (0, 0, 2) be three points
in R^3
a) give the parametric equation of the line orthogonal to the
plane containing A, B and C and passing through point A.
b) find the area of the triangle ABC
linear-algebra question
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