Question 1

The height of a projectile fired vertically upward is given by $y=f(t)=680 t-16 t 2$ (initial velocity is $680 \mathrm{ft} / \mathrm{s})$. Find the maximum height in $\mathrm{ft}$.

Accepted Answer

A)  3631 
B)  7225 
C)  7054 
D)  3527 
A)  3631 
B)  7225 
C)  7054 
D)  3527

Question 2

Change(- $4 \sqrt{2},-4 \sqrt{2})$ to polar coordinates in radians.

Accepted Answer

The answer of Change(- $4 \sqrt{2},-4 \sqrt{2})$ to polar coordinates...

Question 3

Determine whether or not each relation is a function. Write its domain and range.
- $y=5-\sqrt{6 x-12}$

Accepted Answer

The answer of Determine whether or not each relation is...

Question 4

Find the equation of the parabola with focus at ( $0,-8)$ and with directrix $y=8$.

Accepted Answer

A)  $y^{2}=32 x$ 
B)  $y^{2}=-32 x$ 
C)  $x^{2}=-32 y$ 
D)  $x^{2}=32 y$ 
A)  $y^{2}=32 x$ 
B)  $y^{2}=-32 x$ 
C)  $x^{2}=-32 y$ 
D)  $x^{2}=32 y$

Question 5

Find the equation of the parabola with vertex at $(0,0)$ and directrix $y=-6$.

Accepted Answer

The answer of Find the equation of the parabola with...

Question 6

Find the distance between the points (7, - 3) and (-5, - 8).

Accepted Answer

The answer of Find the distance between the points (7,...

Question 7

For the problems below, find the vertices, foci, and lengths of the transverse and conjugate axis for each hyperbola. Find the equations of the asymptotes.
-Find the equation of the hyperbola with vertices $( \pm 9,0)$ and foci at $( \pm 12,0)$.

Accepted Answer

The answer of For the problems below, find the vertices,...

Question 8

Graph by plotting points. $\mathrm{r}=6-6 \sin \theta$

Accepted Answer

None

Question 9

Changer $=\frac{-5}{1+\sin \theta}$ to rectangular form.

Accepted Answer

The answer of Changer $=\frac{-5}{1+\sin \theta}$ to rectangular form....

Question 10

Find the domain of $f(x)=\frac{14}{\sqrt{4 x+30}}$.

Accepted Answer

A)  All real numbers $x-7.5$ 
C)  All real numbers $x \geq-7.5$ 
D)  All real numbers $x \leq-7.5$ 
A)  All real numbers $x-7.5$ 
C)  All real numbers $x \geq-7.5$ 
D)  All real numbers $x \leq-7.5$

Question 11

Find the equation of the line that passes through (3, - 7) with slope- $\frac{1}{2}$.

Accepted Answer

The answer of Find the equation of the line that...

Question 12

Determine whether or not each relation is a function. Write its domain and range.
-  $y=4 x^{2}-1$

Accepted Answer

yes, @#LAT-DLM& Real

Question 13

Determine whether the following equation represents a circle, a parabola, an ellipse, or a hyperbola. $\mathrm{x}^{2}+\mathrm{y}^{2}+10 \mathrm{x}-6 \mathrm{y}-15=0$.

Accepted Answer

The answer of Determine whether the following equation represents a...

Question 14

Find the center of the circle $x^{2}+y^{2}+16 x+20 y+155=0$.

Accepted Answer

A)  $(-8,10)$ 
B)  $(-8,-10)$ 
C)  $(8,10)$ 
D)  $(8,-10)$ 
A)  $(-8,10)$ 
B)  $(-8,-10)$ 
C)  $(8,10)$ 
D)  $(8,-10)$

Question 15

$r=8+4 \cos \theta$

Accepted Answer

The answer of  $r=8+4 \cos \theta$...

The height of a projectile fired vertically upward is given by $y=f(t)=680 t-16 t 2$ (initial velocity is $680 \mathrm{ft} / \mathrm{s})$ . Find the maximum height in $\mathrm{ft}$ .

Change(- $4 \sqrt{2},-4 \sqrt{2})$ to polar coordinates in radians.

Determine whether or not each relation is a function. Write its domain and range. - $y=5-\sqrt{6 x-12}$

Find the equation of the parabola with focus at ( $0,-8)$ and with directrix $y=8$ .

Find the equation of the parabola with vertex at $(0,0)$ and directrix $y=-6$ .

Find the distance between the points (7, - 3) and (-5, - 8).

For the problems below, find the vertices, foci, and lengths of the transverse and conjugate axis for each hyperbola. Find the equations of the asymptotes. -Find the equation of the hyperbola with vertices $( \pm 9,0)$ and foci at $( \pm 12,0)$ .

Graph by plotting points. $\mathrm{r}=6-6 \sin \theta$

Changer $=\frac{-5}{1+\sin \theta}$ to rectangular form.

Find the domain of $f(x)=\frac{14}{\sqrt{4 x+30}}$ .

Find the equation of the line that passes through (3, - 7) with slope- $\frac{1}{2}$ .

Determine whether or not each relation is a function. Write its domain and range. - $y=4 x^{2}-1$

Determine whether the following equation represents a circle, a parabola, an ellipse, or a hyperbola. $\mathrm{x}^{2}+\mathrm{y}^{2}+10 \mathrm{x}-6 \mathrm{y}-15=0$ .

Find the center of the circle $x^{2}+y^{2}+16 x+20 y+155=0$ .

$r=8+4 \cos \theta$

The Derivative

Applications of the Derivative

Derivatives of Transcendental Functions

The Integral

Applications of Integration

Methods of Integration

Three-Space: Partial Derivatives and Double Integrals

Progressions and the Binomial Theorem

Series

First-Order Differential Equations

Second-Order Differential Equations

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Exam 1: Analytic Geometry

The height of a projectile fired vertically upward is given by y=f(t)=680t−16t2y=f(t)=680 t-16 t 2y=f(t)=680t−16t2 (initial velocity is 680ft/s)680 \mathrm{ft} / \mathrm{s})680ft/s) . Find the maximum height in ft\mathrm{ft}ft .

Change(- 42,−42)4 \sqrt{2},-4 \sqrt{2})42​,−42​) to polar coordinates in radians.

Determine whether or not each relation is a function. Write its domain and range. - y=5−6x−12y=5-\sqrt{6 x-12}y=5−6x−12​

Find the equation of the parabola with focus at ( 0,−8)0,-8)0,−8) and with directrix y=8y=8y=8 .

Find the equation of the parabola with vertex at (0,0)(0,0)(0,0) and directrix y=−6y=-6y=−6 .

Find the distance between the points (7, - 3) and (-5, - 8).

For the problems below, find the vertices, foci, and lengths of the transverse and conjugate axis for each hyperbola. Find the equations of the asymptotes. -Find the equation of the hyperbola with vertices (±9,0)( \pm 9,0)(±9,0) and foci at (±12,0)( \pm 12,0)(±12,0) .

Graph by plotting points. r=6−6sin⁡θ\mathrm{r}=6-6 \sin \thetar=6−6sinθ

Changer =−51+sin⁡θ=\frac{-5}{1+\sin \theta}=1+sinθ−5​ to rectangular form.

Find the domain of f(x)=144x+30f(x)=\frac{14}{\sqrt{4 x+30}}f(x)=4x+30​14​ .

Find the equation of the line that passes through (3, - 7) with slope- 12\frac{1}{2}21​ .

Determine whether or not each relation is a function. Write its domain and range. - y=4x2−1y=4 x^{2}-1y=4x2−1

Determine whether the following equation represents a circle, a parabola, an ellipse, or a hyperbola. x2+y2+10x−6y−15=0\mathrm{x}^{2}+\mathrm{y}^{2}+10 \mathrm{x}-6 \mathrm{y}-15=0x2+y2+10x−6y−15=0 .

Find the center of the circle x2+y2+16x+20y+155=0x^{2}+y^{2}+16 x+20 y+155=0x2+y2+16x+20y+155=0 .

r=8+4cos⁡θr=8+4 \cos \thetar=8+4cosθ

The Derivative

Applications of the Derivative

Derivatives of Transcendental Functions

The Integral

Applications of Integration

Methods of Integration

Three-Space: Partial Derivatives and Double Integrals

Progressions and the Binomial Theorem

Series

First-Order Differential Equations

Second-Order Differential Equations

Filters

The height of a projectile fired vertically upward is given by $y=f(t)=680 t-16 t 2$ (initial velocity is $680 \mathrm{ft} / \mathrm{s})$ . Find the maximum height in $\mathrm{ft}$ .

Change(- $4 \sqrt{2},-4 \sqrt{2})$ to polar coordinates in radians.

Determine whether or not each relation is a function. Write its domain and range. - $y=5-\sqrt{6 x-12}$

Find the equation of the parabola with focus at ( $0,-8)$ and with directrix $y=8$ .

Find the equation of the parabola with vertex at $(0,0)$ and directrix $y=-6$ .

For the problems below, find the vertices, foci, and lengths of the transverse and conjugate axis for each hyperbola. Find the equations of the asymptotes. -Find the equation of the hyperbola with vertices $( \pm 9,0)$ and foci at $( \pm 12,0)$ .

Graph by plotting points. $\mathrm{r}=6-6 \sin \theta$

Changer $=\frac{-5}{1+\sin \theta}$ to rectangular form.

Find the domain of $f(x)=\frac{14}{\sqrt{4 x+30}}$ .

Find the equation of the line that passes through (3, - 7) with slope- $\frac{1}{2}$ .

Determine whether or not each relation is a function. Write its domain and range. - $y=4 x^{2}-1$

Determine whether the following equation represents a circle, a parabola, an ellipse, or a hyperbola. $\mathrm{x}^{2}+\mathrm{y}^{2}+10 \mathrm{x}-6 \mathrm{y}-15=0$ .

Find the center of the circle $x^{2}+y^{2}+16 x+20 y+155=0$ .

$r=8+4 \cos \theta$