Answer:
<u><em>Mmeasure is exactly 180°</em></u>
semi-circle because the measure of a whole circle is 360°.
<u><em> Arc :</em></u>
The arc of a circle consists of two points on the circle and all of the points on the circle that lie between those two points. It's like a segment that was wrapped partway around a circle. An arc is measured not by its length (although it can be, of course) but most often by the measure of the angle whose vertex is the center of the circle and whose rays intercept the endpoints of the arc. Hence an arc can be anywhere from 0 to 360 degrees.
Answer:
The value of c that satisfies the conclusion of the Mean Value Theorem applied to f on the interval [1,4] is approximately 0.1793.
Step-by-step explanation:
Given f(x) = 5cos²x² + ln(x + 1) - 3
The Mean Value Theorem applied to f on an interval [a, b] is given as
f'(x) = c = [f(b) - f(a)]/(b - a)
= [f(4) - f(1)]/(4 - 1)
c = [f(4) - f(1)]/3
f(4) = 5(cos4²)² + ln(5) - 3
= 3.2296
f(1) = 5(cos1²)² + ln(2) - 3
= 2.6916.
c = (3.2296 - 2.6916)/3
= 0.538/3
≈ 0.1793
28,33,38,43
the common difference can be found by subtracting the first term from the second term.....33 - 28 = 5....so the common difference (d) = 5
an = a1 + (n - 1) * d
n = the term u want to find = 11
a1 = first term = 28
d = common difference = 5
now we sub
a11 = 28 + (11 - 1) * 5
a11 = 28 + 10 * 5
a11 = 28 + 50
a11 = 78
Answer:
see explanation
Step-by-step explanation:
To determine if (3, 1 ) is a solution to the system
Substitute x = 3 into both equations and evaluate. If the result is y = 1 for both then the point is a solution.
y = 
× 3 - 3 = 4 - 3 = 1
y = - 2(3) + 7 = - 6 + 7 = 1
Since both equations equal 1 then
(3, 1 ) is a solution to the system
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