Trig Functions
Derivatives
Tangent Line
Unit Circle
Exponential Functions
100
2sinθ-1=0
θ=30 degrees pie/6 or 150 degrees = 3pie/6
100
y=x-1/2
What is y'=1+x^-2
100
y = 5 1 -- x^2 + --- at (1,3) 2 2
y=5x-2
100
Solve Cos(270)
0
100
1 f(x)=---- x 6 ^x 3 x - means to multiply
12
200
3cosθ - 4 = 0
Undefined.
200
y=3x^2-7x+1
What is y'=6x-7
200
x^4 y= ------ + 3x at X=0 2
y=3x
200
Solve tan(570)
√ 3 ------- 3
200
f(n)=10x2^n at n=5 x - means to multiply
320
300
3cotθ - √ 3=0
θ=60 degrees pie/3
300
y=(6x+5)-(3x+2x)
What is y'=3-2x
300
y= 3x^2-10 at x=2
y=12x-22
300
19pie Sin -------- 6
1 - ----- 2
300
10x2^ n x - means to multiply
5 ----- 2
400
Solve 2Cosθ + √ 3 = 0
θ = 3pie/6 and 7pie/6
400
A ball is rolled across a table. It's position is measured by the equation: s=t^3-3t^2+1, where t represents the time, in seconds, and s represents the current position. Assuming the ball's speed is always constant, how far does the ball go after 5 seconds? What is the rate of change at 5 seconds?
s(5)=51 s'(5)=46
400
y= 3√ x - x at x=4
1 y= ----- x + 1 4
400
Sec(-150)
-2√ 3 ------- 3
400
1 1 f(n)= ---- x (-------)^n at n=5 5 3 x - means to multiply
1 ----- 135
500
A tennis ball leaves a racket and heads towards a net is the same height as the initial height of the tennis ball. If the ball is hit at 50 feet per second, use d=1 - --- v0^2 sin 2θ 32 Find the interval of possible angles of the ball needed to clear the net
θ=15.4 degrees or 74.6 degrees
500
y=15x^7+21x^5+12x^3 ------------------------ 3x
What is y'=30x^5+7x^3+24x
500
Where is the tangent line to 2x^3 7x ^2 y= ---------- - -------- + 6x a horizontal line? 3 2
3/2, 27/8 2, 10/3
500
The half – life of Strontium – 85 is 64.84 days. How much of a 40 mg sample would be left after 180 days ?
5.84 mg
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