The measure of an angle formed by intersecting chords is blank the sum of the measures of the intercepted arcs.
2 answers:
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Answer:
Correct integral, third graph
Step-by-step explanation:
Assuming that your answer was 'tan³(θ)/3 + C,' you have the right integral. We would have to solve for the integral using u-substitution. Let's start.
Given : ∫ tan²(θ)sec²(θ)dθ
Applying u-substitution : u = tan(θ),
=> ∫ u²du
Apply the power rule ' ∫ xᵃdx = x^(a+1)/a+1 ' : u^(2+1)/ 2+1
Substitute back u = tan(θ) : tan^2+1(θ)/2+1
Simplify : 1/3tan³(θ)
Hence the integral ' ∫ tan²(θ)sec²(θ)dθ ' = ' 1/3tan³(θ). ' Your solution was rewritten in a different format, but it was the same answer. Now let's move on to the graphing portion. The attachment represents F(θ). f(θ) is an upward facing parabola, so your graph will be the third one.
Answer:
a) Standard error = 0.5
b) 99% Confidence interval: (19.2125,21.7875)
Step-by-step explanation:
We are given the following in the question:
Population mean = 20.50 mpg
Sample standard deviation = 3.00 mpg
Sample size , n = 36
Standard Error =
99% Confidence interval:
Putting the values, we get,