Week 12

Last updated 4 months ago

9 questions

1

The solutions for \theta in the equation 2cos^{2} \theta +cos~ \theta =0, where {0}\degree \le \theta < {360}\degree, are

\theta = {120}\degree, {240}\degree

\theta = {0}\degree, {120}\degree, {180}\degree, {240}\degree

\theta ={90}\degree, {120}\degree, {240}\degree, {270}\degree

\theta ={90}\degree, {210}\degree, {270}\degree, {330}\degree

sec^{2}x

csc^{2}x

tan^{2}x

sec^{2}x~tan~x

(0, 3)

(1, 3)

(2, 6)

(3, 6)

{111}\degree

{211}\degree

{249}\degree

{291}\degree

[ \pm1, \pm9]

[ \pm1, \pm3, \pm9]

[ \pm1, \pm2, \pm3, \pm9]

[ \pm1, \pm \frac{3}{2}, \pm3, \pm \frac{9}{2}, \pm9]

-12

-10

12

10

The solutions for \theta in the equation 2cos^{2} \theta +cos~ \theta =0, where {0}\degree \le \theta < {360}\degree, are

\theta = {120}\degree, {240}\degree

\theta = {0}\degree, {120}\degree, {180}\degree, {240}\degree

\theta ={90}\degree, {120}\degree, {240}\degree, {270}\degree

\theta ={90}\degree, {210}\degree, {270}\degree, {330}\degree

An equivalent expression for (sec~x)(csc~x)(cot~x), where 0<x< \frac{\pi}{2} is 

sec^{2}x

csc^{2}x

tan^{2}x

sec^{2}x~tan~x

Which of the following points lies on the graph of h(x)=f(x)+g(x)?

(0, 3)

(1, 3)

(2, 6)

(3, 6)

Rounded to the nearest degree, the largest solution shown IN THE GRAPH of -4~cos(bx)=3 is

{111}\degree

{211}\degree

{249}\degree

{291}\degree

The set of potential integer zeros of P(x)=2x^{4}+3x^{3}-17x^{2}-27x-9 is

[ \pm1, \pm9]

[ \pm1, \pm3, \pm9]

[ \pm1, \pm2, \pm3, \pm9]

[ \pm1, \pm \frac{3}{2}, \pm3, \pm \frac{9}{2}, \pm9]

An equivalent expression for 

Given G(x) below, determine the value of k that will make -1 a zero of G(x):

-12

-10

12

10