functions
logarithms
Trigonometry1
Trigonometry2
Limits
100
7x if x<0 f(x)= x+4 if 0<=x<=2 (x-2)^2 if x>=2 f(-7), f(0), f(4)
What is -49, 4, 4
100
Domain of f(x)=log(x^2-1)
What is (-infinity, -1)U(1,infinity)
100
What is the amplitude, period and phase shift y=4cos(x+Pi/3)
What is amplitude - 4 period - 2Pi phase shift - (-Pi/3)
100
Use the Law of Sines to find the angle B, when C=62 degrees b=56.7 c=80.2
What is 38.6 degrees
100
Use the limit to answer the following questions lim (x-8)/(x^2+x-72) x->8 Use a table to estimate the value of the limit.
What is 0.1
200
A ball is thrown across a playing field. Its path is given by the equation below, where x is the distance the ball has traveled horizontally, and y is the height above ground level, measured in feet. y=-0.005x^2 + x + 10 a) What is the maximum height attained by the ball? b) How far has it traveled horizontallly when it hits the ground?
What is a) 60 ft, b) 210 ft
200
Expand log[(x^7)/(yz^3)]
What is 7log(x)-log(y)-5log(z)
200
Find a function that models the simple harmonic motion with the given properties. Assume that the displacement is at its maximum at time t=0 amplitude - 9in frequency - 90 hz
What is f(t)=9cos(180(Pi)t)
200
Use the Law of Cosines to determine side a, where A=89 degrees c=2 b=8
What is 8.21
200
See graph on board lim f(x) x->0
What is 3
300
Find the domain of the function (x+8)^(1/2) f(x)=-------------------- x-1
What is [-8,1)U(1,infinity)
300
Find the solution e^(4x)=19
What is 0.7361 or ln(19)/4
300
The measure of an angle in standard position is given. Find two positive angles and two negative angles between -720 and 1080 that are coterminal with the given angle 120
What is -600, -240, 480, 840
300
Find the exact value cos(cos^(-1) (9/14))
What is 9/14
300
See graph on board lim f(x) and lim f(x) x->3- x->3+
What is - 4 + 2
400
f(x)=4/x g(x)=3x+9 (fog)(x)
What is 4/(3x+9)
400
Solve log (x-7)=4 5
What is 632
400
Find the exact values of the six trigonometric ratios of the angle t if sin(t)=9/41
What is cos(t)=40/41 tan(t)=9/40 csc(t)=41/9 sec(t)=41/40 cot(t)=40/9
400
Rewrite the expresion as an algebraic expression in x sin(tan^(-1)(12x))
What is 12x/(1+144x^2)^(1/2)
400
See graph on board f(3)
What 3
500
Find the inverse function of f f(x)=2x-5
What is (x+5)/2
500
Solve log 4 + log x = log 6 + log (x-3) 3 3 3 3
What is 9
500
From the top of a 225 ft lighthouse, the angle of depression to a ship in the ocean is 23. How far is the ship from the base of the lighthouse? Round to the nearest foot.
What is 530ft
500
Find all solutions of the equations. Enter each answer in the form t+2(Pi)k where 0<=t<2(PI) (2cos(x)+1)(2 sin(x) - 3^(1/2))=0
What is Pi/3 + 2Pik 2Pi/3 + 2Pik 4Pi/3 + 2Pik
500
Evaluate the limit lim (x^2+9x+8)/(x^2+7x-8) x->-8
What is 7/9
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