Answer: f(-16) = -26
Step-by-step explanation: Let's substitute:
f(w) = 2w + 6 --> f(-16) = -32 + 6 =
f(-16) = -26
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The sum is 10s^2t-5st^2. With two separate sections it’s a binomial, and the sum of the powers of the variables is 2+1=3, it has a degree of 3.
Answer: Time t = 33.0 seconds
Step-by-step explanation:
Given that the vertical distance H between the dock and the top of the boat's mast t seconds after its first peak is modeled by the function
H(t) = 5cos( 2π/3 t) − 35.5H
Where the maximum vertical distance = 5
At the down position, H(t) = 0
5cos( 2π/3 t) − (35.5/100)H = 0
5cos( 2π/3 t) − 0.355 × 5 =0
5cos( 2π/3 t) − 0.1775 = 0
5cos( 2π/3 t) = 0.1775
cos( 2π/3 t) = 0.1775/5
cos( 2π/3 t) = 0.355
2π/3 t = cos^-1 (0.355)
2π/3 t = 69.2
2πt = 69.2 × 3
2πt = 207.6
t = 207.6/2π
t = 33.0 seconds
Step-by-step explanation:
The only way the answer could be E is if the x² term under the radical is supposed to be t².
f(x) = ∫₄²ˣ √(t² − t) dt
f'(x) = √((2x)² − 2x) (2)
f'(x) = 2√(4x² − 2x)
f'(2) = 2√(4(2)² − 2(2))
f'(2) = 2√12
