Lilly J

Question 1

(−3ˏ21)ˏ (−2ˏ12)ˏ (−1ˏ5)ˏ (0ˏ0)ˏ (1ˏ−3)ˏ (2ˏ−4)ˏ (3ˏ−3)

A) Identify which type of function is represented in the table.

Quadratic, Linear, Exponential, Neither

B) Is the function:

a)Increasing over {-3, 2]

b)decreasing over [-3, 2]

c)always Increasing

d)always decreasing

Question 2

An object is launched from certain height into the air. The height is modeled by the the function h(t) = -4.8t^2+23t+20. The time (t) is measured in seconds.

A) What is the maximum height?

B) After how many seconds will it hit the ground?

C) From what height (initial height) was the object launched?

D) determine the domain for the above scenario?

1) f(x)=9x^3 - x^2 +9x -9

2) f(x)=x^4 -21x^2 -100

3) f(x)=x^3 -3x^2 -5x +39

Given the functions:

f(x)=3x+2 and g(x)=3/((x^2)+2) and h(x)=sqrt(x-2)

Find the following and state the domain:

1) h∘f

2) f∘g

3) g∘f

4) g∘h

5) f∘f

The vector v has a magnitude of 25 inches and a direction of 32° , Express this vector in rectangular form.

A) (-13.25, 21.20)

B) (-21.20, -13.25)

C) (13.25, 21.20)

D) (21.20, 13.25)

1) Express point in rectangular form. Give EXACT answer, if possible?

(2, 4π /11)

2) Given P = (2. -3) and Q = (-3, -4). find the component form of vector PQ

3) The vector v has a magnitude of 25 inches and a direction of 32° , Express this vector in rectangular form.

perform each operation with vectors u = < 6, 2 > and v = < -10, 1 >

4) u+v 5) -3u

A yacht is traveling at a speed of 8 knots per hour due North. The water current of the ocean is 2 knots per hour 30° North of the horizontal. Find the speed and direction of the yacht with respect to the ocean floor. Hint: Find the resultant vector. You must have a drawing.

A yacht is traveling at a speed of 8 knots per hour due North. The water current of the ocean is 2 knots per hour 30° North of the horizontal. Find the speed and direction of the yacht with respect to the ocean floor. Hint: Find the resultant vector. You must have a drawing.

Thanks

I'm stuck in need help with the below problem. That's all the info for this question given and I'm lost. Thanks

If y = 20sin(0.5θ - 2) + 40 models the monthly temp for a certain city.

Use the equation to predict the temperature in the city during December.

Find sinusoidal function in the form of y = asin(bx + c) + d that models the average monthly temp in Phoenix

Jan=51, Feb=55, Mar=63. Apr=67, May=77, Jun=86, Jul=90, Aug=90, Sep=84, Oct=71, Nov=59, Dec=52

Thanks

Use the equation to predict the temperature in the city during December. Thanks

Please help me figure out the period for the above function. Thanks

Could someone help me with the above secant equation? Thanks

I had my braces removed on December 13th and I had 8 molar bands. I noticed that the removal of the bands left me with spaces between my molars; I have to floss after every meal because food is getting stuck there and I'm frustrated. Will these spaces close with the wearing of my retainers?