Question 1

What is the seventh term in the expansion of $ (2a^3-y^2)^{11} $

Accepted Answer

$14784a^{15}y^{12}$

Answer

$-924a^8y^8$

Answer

$-924a^{15}y^{12}$

Answer

$462a^5y^6$

Question 2

Find the coefficient of $r^9s^6$ in $(3s+4r^3)^9$

Accepted Answer

3,929,204

Answer

84

Answer

5,878,656

Answer

1008

Question 3

Which of the following is NOT a solution to the equation $\cos(3	heta)=-\frac{\sqrt{2}}{2}$

Accepted Answer

$	heta=\frac{\pi}{12}$

Answer

$	heta=\frac{13\pi}{12}$

Answer

$	heta=\frac{3\pi}{12}$

Answer

$	heta=\frac{\pi}{4}$

Question 4

Which of the following is NOT a solution to the equation $\sec(4x)=2$

Accepted Answer

135˚

Answer

345˚

Answer

165˚

Answer

15˚

Question 5

Identify the conic section given by the equation: $y^2-3x^2+2y-5=0$

Accepted Answer

Hyperbola

Answer

Parabola

Answer

Ellipse

Answer

Circle

Question 6

Identify the conic section given by the equation: $2y^2+2x^2-8y+3x=5$

Accepted Answer

Circle

Answer

Ellipse

Answer

Hyperbola

Answer

Parabola

Question 7

Identify the conic section given by the equation: $2y^2+x-10y=5$

Accepted Answer

Parabola

Answer

Circle

Answer

Ellipse

Answer

Hyperbola

Question 8

Which of the following represents the two functions you would enter into your calculator to graph the conic section represented by: $y^2-3x^2+2y-5=0$

Accepted Answer

$y=-1\pm\sqrt{3x^2+6}$

Answer

$y=\pm\sqrt{3x^2-2y+5}$

Answer

$y=-1\pm\sqrt{3}x+\sqrt{6}$

Answer

$y=\pm1+\sqrt{3x^2+6}$

Question 9

Find $f'(x)$ where $f(x)=\sqrt[4]{x^3}$

Accepted Answer

$f'(x)=\frac{3}{4\sqrt[4]{x}}$

Answer

$f'(x)=\frac{4}{3\sqrt[3]{x}}$

Answer

$f'(x)=\frac{4\sqrt[3]{x}}{3}$

Answer

$f'(x)=\frac{3\sqrt[4]{x}}{4}$

Question 10

Find $\frac{dy}{dx}$ for $y=\frac{1}{x}$

Accepted Answer

$\frac{dy}{dx}=-\frac{1}{x^2}$

Answer

$\frac{dy}{dx}=\frac{1}{x^2}$

Answer

$\frac{dy}{dx}=-1$

Answer

$\frac{dy}{dx}=-\frac{1}{2x}$

Question 11

Find $\frac{ds}{dt}$ for $s=\frac{1}{\sqrt[3]{t^2}}$

Accepted Answer

$\frac{ds}{dt}=-\frac{2}{3\sqrt[3]{t^5}}$

Answer

$\frac{ds}{dt}=-\frac{3}{2\sqrt{t^5}}$

Answer

$\frac{ds}{dt}=-\frac{3\sqrt{t^5}}{2}$

Answer

$\frac{ds}{dt}=-\frac{2\sqrt[3]{t^5}}{3}$

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