Answer:
See attached pictures.
Step-by-step explanation:
The sine and cosine functions have the forms: 
and 
. A is the amplitude for each function. The period is found by dividing 2π the absolute value of B or 
. C shifts the function up and down.
The sine function always starts and ends on the x-axis.
The cosine function always starts and ends at the y=A.
6.) The sine function starts at (0,0) then peaks at 5. Comes down to 0 and down to -5 before returning to 0.
The amplitude is 5.
The period is 
7.) Here A=3 so the amplitude is 3, B is 1/2 so the period is 4π. Start at (3,0) and descend down to (2π, 0). Go back up to (4π, 3).
8.) Here A = 2 so the amplitude is A. B is 2π so the period is 1. C is 1 so the graph is shifted up a unit.
Start the graph at (0,1) and go up to (0.25,3) and down to (0.5,1) and continue downward to (0.75, -3) then back up to (1,1).
Answer:
SA = 384 in²
Step-by-step explanation:
Assuming we're finding surface area:
SA of top of large cube: 8(8) - 4(4) = 48 in²
SA of sides of large cube: 4(8)(8) = 256 in²
SA of exposed faces of small cube: 5(4)(4) = 80 in²
Total = 48 + 256 + 80 = 384 = ∑SA
Answer:
The inverse function is g(x) =
Step-by-step explanation:
You can find the inverse of any function by switching the g(x) value (or whatever the function value is labelled) and the x value. Then solve for the new g(x) value. The result will be your inverse function.
g(x) = 15x - 10 ---> Switch the g(x) and x
x = 15g(x) - 10 ---> Add 10 to both sides
x + 10 = 15g(x) ----> Divide both sides by 15.
= g(x) ----> Switch the order
g(x) =
And that would be your inverse function.
Answer:
Domain: (-2 , 3]
Range: [-3, 2)
Step-by-step explanation:
Domain is all the x's on the graph. (If you have an equation, then it's all the numbers that are allowed to be x)
Range is all the y's on the graph (or if you have an equation, all the possible y outcomes)
Open dot endpoint means that point is not included in the set (domain and range are sets of numbers) Closed dot means the point is included.
You didn't get this math question right. But look for all the x's for the domain, and all the y's for the range.
If you plug in 90 into theta, the expression becomes sin(180), which has a value of zero. Therefore 90 cannot be a solution to this equation. Hope this helps.
