We have
<span>y=cos x/(x</span>²+x+2) <span>on the closed interval [-1, 3]
</span><span>
we know that
</span>The average value of f(x) on the interval [a, b] is given by:
<span>F(avg) = 1/(b - a) ∫ f(x) dx (from x=a to b).
(b-a)=(3+1)------> 4
</span>= 1/4 ∫ cos(x)/(x² + x + 2) dx (from x=-1 to 3).
Note that [cos(x)/(x² + x + 2)] does not have an elementary anti-derivative.
By approximating techniques:
1/4 ∫ cos(x)/(x^2 + x + 2) dx (from x=-1 to 3) ≈ 0.182951
the answer is
<span>the average value of y = cos(x)/(x</span>²<span> + x + 2) on [-1, 3] is approximately 0.182951</span>
T - 7 < 10, T = 28
28 - 7 < 10
21 < 10
FALSE
Answer:
Option C.
Step-by-step explanation:
The given table is
x f(x)
-4 0
-2 2
0 8
2 2
4 0
6 -2
A graph of a function intersect x-axis if the function contains the points whose y-coordinate is 0.
From the given table it is clear that the value of f(x) is 0 at x=-4 and x=4. It means, the continuous function intersect the x-axis at two point (-4,0) and (4,0).
Therefore, the correct option is C.
Side adjacent to the given angle: x
Diagonal=hypotenuse=20
cos (36° 42') =(side adjacent to angle 36° 42')/Hypotenuse
cos (36° 42')=x/20
Solving for x. Multiplying both sides of the equation by 20:
20 cos (36° 42')=20 (x/20)
20 cos (36° 42')=x
x=20 cos (36° 42')
x=20 (0.801775644)
x=16.03551288
x=16.04
Answer: Option D. 16.04
Answer:
a
Step-by-step explanation:
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