Concave up is U-shaped.
There will be a inflection/critical point f'(x) =0 then a negative slope f'(x) = neg then another inflection/critical point f'(x) =0 at the bottom of the U-shape then a positive slope to last inflection/critical point. The interval for the Concave Up shape is the first and last inflection points.
Answer:
a) cos(α+β) ≈ 0.8784
b) sin(β -α) ≈ -0.2724
Step-by-step explanation:
There are a couple of ways to go at these. One is to use the sum and difference formulas for the cosine and sine functions. To do that, you need to find the sine for the angle whose cosine is given, and vice versa.
Another approach is to use the inverse trig functions to find the angles α and β, then combine those angles and find find the desired function of the combination.
For the first problem, we'll do it the first way:
sin(α) = √(1 -cos²(α)) = √(1 -.926²) = √0.142524 ≈ 0.377524
cos(β) = √(1 -sin²(β)) = √(1 -.111²) ≈ 0.993820
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a) cos(α+β) = cos(α)cos(β) -sin(α)sin(β)
= 0.926×0.993820 -0.377524×0.111
cos(α+β) ≈ 0.8784
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b) sin(β -α) = sin(arcsin(0.111) -arccos(0.926)) ≈ sin(6.3730° -22.1804°)
= sin(-15.8074°)
sin(β -α) ≈ -0.2724
Answer:
Gender is a categorical variable. The sum gives the total number of students in class.
Step-by-step explanation:
We are given the following in the question:
The variable Male, is categorical, even though its values are numbers.
Categorical variable:
- These variable are the non parametric variable.
- They do not need values to express the data.
- They only use number and numerical to express the data or represent the data.
- There is no relation with true value of numerical.
Thus, gender is a categorical variable. Numbers are only used to represent the data.
Numbers are just a representation.
The sum of these represent the total male and female students in class. Thus, the sum gives the total number of students in class.
Answer:
For the first blank: 8
For the second blank: I think it's 913
Step-by-step explanation:
First blank: To find the area of a square do (Length * Width) For the roof do 15 * 25 to get 375. Then divide by 100 and you get 3.75 but round to 4
That's for 1 half of the roof so do cover the whole roof you need 8.
Answer:
14?
Step-by-step explanation: