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Week 10
By Anil Nayak
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Last updated 30 days ago
10 questions
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Question 1
1.
If csc(\frac{4\pi}{3})+k=cot(\frac{8\pi}{3}), then the
exact
value of
k
is
-\sqrt{3}
-\frac{1}{\sqrt{3}}
\frac{1}{\sqrt{3}}
\sqrt{3}
Question 2
2.
Use the following information to answer the question.
The two students who have stated a correct general solution are
Sandy and Luke
Sandy and Jane
Noah and Luke
Noah and Jane
Question 3
3.
Use the following information to answer the question.
The student’s first error was recorded in Step
1
2
3
4
Question 4
4.
The graph of the function P(x)=a(x-r)(x-1)^{2}(x-4) passes through the point (0,6).
The value of
a
in terms of
r
is
a=\frac{3}{2r}
a=-\frac{3}{2r}
a=\frac{2}{3r}
a=-\frac{2}{3r}
Question 5
5.
The infinitely many angles coterminal with -\frac{5\pi}{4} are described by
\frac{3\pi}{4}+2\pi n, n\epsilon I
\frac{5\pi}{4}+2\pi n, n\epsilon I
\frac{3\pi}{4}+\pi n, n\epsilon I
\frac{5\pi}{4}+\pi n, n\epsilon I
Question 6
6.
The solution to the equation cot~x=2.4, \pi \leq x \leq 2\pi, correct to the nearest tenth, is ____
Question 7
7.
Use the following to answer the next question.
According to this information, the equation of the
polynomial function Q is
Q(x)=ax^{3}+bx^{2}+cx-d
Q(x)=-ax^{3}+bx^{2}+cx+d
Q(x)=-ax^{3}+bx^{2}+cx-d
Q(x)=-ax^{3}-bx^{2}-cx-d
Question 8
8.
The mapping (x,y) \rightarrow (x+6, \frac{1}{3}y+2) was applied to the function y=\frac{1}{x}. The equation of the resulting function is
y=\frac{3}{x+6}+2
y=\frac{3}{x-6}+2
y=\frac{1}{3(x+6)}+2
y=\frac{1}{3(x-6)}+2
Question 9
9.
The restriction for the expression \frac{sec\theta}{1-cot\theta} is
\theta \neq \frac{n\pi}{2}, n\in I
\theta \neq n\pi, n\in I
\theta \neq \frac{\pi}{4}+n\pi, \frac{n\pi}{2}, n\in I
\theta \neq \frac{\pi}{4}+n\pi, \frac{n\pi}{2}, n\in I
Question 10
10.
The nearest positive solution of 7sin~x+3=0, to the nearest degree, is