sin waves
What is the maximum value of f(x) = 8sin10(x) +3?
11
For f(x) = 4cos2(x) + 8, what is the maximum value?
12
What is the solution on [90, 270) for 5sin(x) = 3?
Round to nearest degree.
143
Let v(t) =9sin(t) + 6 be the velocity of an object in m/s on [0, 2pi seconds]. What is the velocity and direction at t = 4.5s?
6.7m/s, right
What is the 13th prime number?
41
What is the minimum value of f(x) = 4sin8(x-10)-6?
-10
For f(x) = 2cos3(x) - 5, what is the minimum value?
-7
What is the solution on [180, 360] of 8tan(x)+2 = 12?
Round to nearest degree.
231
Let v(t) = 10cos2(t) be the velocity of an object on [0, 2pi seconds]. When did it rest for the second time?
3pi/4
What is the value of x?
8646
When does the function peak for the final time on the interval [0, 216]? f(x) = 9sin5(x).
162
On [0, 72], when does f(x)= 3cos10(x) cross the x-axis for the final time?
63
What are the solutions of cos(2x) = .85 on [100, 200]?
16, 164, and 196
v(t) = 6sin4(t) is velocity of an object on [0, the object rests for the 3rd time for t > 0. Estimate the displacement of the object at the end of the time interval. Write your answer in terms of pi.
3pi/2
A number times itself decreased by twelve times itself happens to equal -35. What is the maximum number that makes this true?
7
On [0, 2pi), when does f(x) = 6sin6(x) cross the x-axis for the 3rd time? Write your answer in terms of pi.
pi/2
On [0, 2pi], when does f(x) = 7cos2(x) reach it's minimum value for the first time?
pi/2
2sin(2x)sec(x) = 1 on [0, 90]. Where? Round to nearest degree.
14
v(t) = 10cos4(t) is the velocity of an object
[0, until it rests for the third time]. Estimate the displacement. Keep answers in terms of pi.
5pi/8
An equation is graphed and it is a circle.
A second equation is graphed and it is a parabola.
Together, these equations form a system.
What is the maximum amount of solutions of the system?
4
How many solutions does the equation have on
(0, 360]?
3sin2(x) = 5sin4(x)
8
What is the equation of the graph in
f(x) = AcosB(x-h)+k form
f(x) = 5cos2(x)
sin(x) - 5cos(x) = 0 on [0, 90]. Where?
Round to nearest degree.
Let v(t) = 12sin6(t) on [0, 2pi/3] be the velocity of an object. Estimate the total distance traveled on the time interval. Write your answers in terms of pi.
4pi
During an escape room, the number 60 appears on the locked door. Underneath the number, it says to apply Goldenbach's Conjecture. There are two pairs of numbers that satisfy Goldenbach's Conjecture. The larger product of them unlocks the door. What is the passcode?
899