Jawuan

I m 18 and I did get my permit when I was 16, however I never practiced much at all so I never took the driving test to get my license. My permit recently expired and I m going to get it renewed next week. The reason I didn t drive much before was because I have really bad anxiety and I panic behind the wheel. And on top of that I didn t feel very comfortable in my parents car... so i was thinking maybe this time around I should buy my own car (a used one most likely) so that I can learn in that and it will kinda of me a motivation to take the practice and take the test. I m thinking because of my anxiety being in my own car bring help me be more comfortable also. Has anyone bought a car before they got their license? Do any of you have anxiety when driving? How do you cope with it? What do you think I should do?

Use a graphing utility to approximate the limit of the function. If necessary, round to three decimal places.

lim x->1 (^3√(x) - x) / (x-1)

A. -0.5

B. -0.667

C. -1

D. The limit does not exist.

Which would be the best option for finding the limit?

lim (1-2x-3x^2)/1+x

x->-1

A.Direct substitution

B.Dividing out technique

C.Rationalization technique

D.Indeterminate form

1. A rectangular box has a perimeter of 50 inches. Find the length and width of the box that would give the maximum area.

l = 25, w = 25

l = 12.5, w = 37.5

l = 12.5, w = 12.5

l = 12.5, w= 156.25

2. A rectangular box has a perimeter of 50 inches. Find the maximum possible area of the box.

A. 156.25 in2

B. 468.75 in2

C. 625 in2

D. 1953.13 in2

1. A rectangular box has a perimeter of 36 inches. Find the length and width of the box that would give the maximum area.

A. l = 9, w = 9

B. l = 81, w = 9

C. l = 27, w = 9

D.l = 18, w = 18

2. A rectangular box has a perimeter of 36 inches. Which of the following equations represents the area of the rectangular box in terms of its width, w?

A. A = 36w - w^2

B. A = 18w - w^2

C. A = 36 - w^2

D. A = 18 - w^2

Find a polar equation of a hyperbola with its focus at the pole, an eccentricity of e = 5/4 and directrix at y = 2

Find two different sets of parametric equations for the given rectangular equation. (There are many correct answers.)

1. y = x^(2) + 10

2. x + y^(2) = 4

3. x^(2) + 4y^(2) - 16 = 0

Convert the rectangular equation x^(2) + y^(2) - 12y = 0 to polar form.

Identify the conic represented by the polar equation algebraically. Then use a graphing utility to graph the polar equation. 1.r = 2 + 3 sinθ

2. r = (1) / (1 - cosθ)

3. r = (4) / (2 + 3 sinθ)

r=4/(-2-6sinθ)

What is the distance between the pole and the directrix?

A. 2

B. 2/3

C. 3

D. 6

r=4/(-2-cosθ)

What is the eccentricity of the function?

Use the following vectors to answer the question

u: <3, -1>

v: <4, 3>

w: <⅔ , -8/9 >

What is the angle between v and w?

A. 0

B. 30

C. 60

D. 90

Use the following vectors to answer the question.

u: <-1,7>

v: <6,4>

What is the projection of u onto v?

A. <33/13, 22/13>

B. <11/26, 22/26>

C. 17u

D. 17v

Use the following vectors to answer the question

u: <3, -1>

v: <4, 3>

w: <⅔ , -8/9 >

What is the angle between v and w?

A. 0

B. 30

C. 60

D. 90

Use the following vectors to answer the question

u: <3, -1>

v: <4, 3>

w: <⅔ , -8/9 >

Which vectors, if any, are orthogonal?

A. u and v

B. u and w

C. v and w

D. none of the above

Give geometric descriptions of the operations of addition of vectors and multiplication of a vector by a scalar.

A plane traveling 500 mph (called airspeed) in the direction 120 degrees encounters a wind of 80 mph in the direction of 45 degrees

What is the resultant direction of the plane (in degrees)?

A. 78.9

B. 111.6

C. 113.8

D.Cannot determine from information given.

A plane traveling 500 mph (called airspeed) in the direction 120 degrees encounters a wind of 80 mph in the direction of 45 degrees

What is the resultant direction of the plane (in degrees)?

A. 78.9

B. 111.6

C. 113.8

D.Cannot determine from information given.

Given ||v|| = 5 theta=30 degrees, write the vector v

*I got <(5 sqrt(3))/2 , 5/2>* but I just want to make sure it's right*

Determine the values of θ, 0 ≤ 2 pi, for which tan θ = √(sec^(2) θ - 1) is true.