Project

Trigonometry

100

Convert 60 degrees to radians

pi/3

200

Find the Exact value of cos(150)

-sqrt3/2

300

Find the Exact value of tan (300)

-sqrt3

400

Find the Exact value of sec(60)

2

500

Describe the graph of 

y=-2cos(3x)+1 

Amplitude?

Period?

Shift?

Reflection?

Amplitude:2

Period: 2pi/3

Vertical shift +1

Reflected over x-axis

Derivative

100

Find the derivative 

f(x)=7x+3 

7

200

Find the derivative

x²+4x

2x+4

300

Find the Derivative 

3x³-2x²+5x-1

9x²-4x+5

400

What is the derivative of f(x)=(2x+1)(x²-3)

2x³-6x+x²-3

500

Use the chart to find h'(4) in simplest form

f(x)=7        f'(x)=-2

g(x)=-4      g'(x)=3

-34

Limit

100

Evaluate the limit: 

lim x->3 (2x+5)

11

200

Find the limit 

lim x->2 x²-4/x-2

4

300

As x gets closer to 2, the values of f(x) get closer to 5 from both sides, what is: lim x->2 f(x)

5

400

Find the right side limit

lim x->1+ (2x+3)

5

500

Evaluate the limit.

lim x→∞ 4x+7/2x-5

2

Sequence and Series

100

Find the next term: 2,4,6,8...

10

200

Find the 10th term:

a_n=3n+1

31

300

Find:1+2+3+....+10

55

400

Find the 66th term of the arithmetic sequence:

-28,-45,-65

-1133

500

Find: 2+6+18+54

80

Polar,vector,

100

Subtract the vectors <8-5,-3-4>

<3,-7>

200

Add vectors: <4,-7>+<-2,9>

<2,2>

300

A plane travels 120 miles east then 50 miles north , represent the planes total displacement as a vector, and planes final destination relative to the starting point 

<120,50>

400

Convert rectangular equation into polar form : x²+y²=16

r=4

500

convert the polar coordinte (6,60degrees) into rectangular form 

(3,3squareroot of 3)