Answer:
g(0.9) ≈ -2.6
g(1.1) ≈ 0.6
For 1.1 the estimation is a bit too high and for 0.9 it is too low.
Step-by-step explanation:
For values of x near 1 we can estimate g(x) with t(x) = g'(1) (x-1) + g(1). Note that g'(1) = 1²+15 = 16, and for values near one g'(x) is increasing because x² is increasing for positive values. This means that the tangent line t(x) will be above the graph of g, and the estimates we will make are a bit too big for values at the right of 1, like 1.1, and they will be too low for values at the left like 0.9.
For 0.9, we estimate
g(0.9) ≈ 16* (-0.1) -1 = -2.6
g(1.1) ≈ 16* 0.1 -1 = 0.6
Answer:
True.
Step-by-step explanation:
Given,
4cos2 (4x) - 3 = 0
Now, 4π/24 = π/6
Or, cos π/6 = √3/2
Or, cos^2 π/6 = 3/4
Or, 4 cos^2 π/6 = 3
Now, Left Hand Side= 4cos2 (4x) - 3
= 3-3 =0 = Right Hand Side (Proved)
Here, Left Hand Side= Right Hanad Side. So, 4cos2 (4x) - 3=0 is true.
Answer:
r=8
Step-by-step explanation:
Given formula:
r = C / 2π
It is given that C = 16π
hence
r = 16π / 2π = 8
75,000 divided by 150, is 500, meaning they allow 500 people per acre. 500 times 145 is 72,500, meaning the capacity for a park your size should be 72,500 people.
