The zero of the function is at 33.69 degree , the graph is plotted and attached with the answer.
<h3>What is a Function ?</h3>
A function is a law that relates a dependent variable and an independent variable with each other
It is given that
y = 2tan (x - π/2) +3
To find the zeroes of a function that function has to be equated to zero.
2tan (x - π/2) +3 = 0
2tan (x - π/2) = -3
tan (x - π/2) = -3/2
x - 90 = -56.31
x = 33.69 degree
The zero of the function is at 33.69 degree
For finding the maxima /minima
the derivative is
dy/dx = 2 sec² (x - π/2)
the point at which the slope is zero is substituted in the second derivative to find maxima/minima
d²y/dx² = 4 sec² (x - π/2) tan (x - π/2)
if the value is negative then it is a maxima and if it is positive it is a minima.
The vertical asymptote is found by finding the values that make the function undefined
x = 0+ πn
No horizontal or oblique asymptote
To know more about Function
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Answer:
(a) 42.3°
Step-by-step explanation:
Side 'a' is the shortest of three unequal sides, so angle A will be the smallest angle in the triangle. Its measure can be found from the Law of Cosines.
a² = b² +c² -2bc·cos(A)
cos(A) = (b² +c² -a²)/(2bc) = (21² +25² -17²)/(2·21·25) = 777/1050
A = arccos(777/1050) ≈ 42.3°
The measure of angle A is about 42.3°.
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<u><em>Additional comment</em></u>
The smallest angle in a triangle can never be greater than 60°. This lets you eliminate choices that exceed that value.
3 units/ 5 feet = 60 units/ 100 feet
3 units/ 5 feet = 18 units/ 30 feet
The dimensions of the scale drawing are 60 units by 18 units.
Hope this helps!
Answer:
(a) y(x)=53+7x
(b) 179
Step-by-step explanation:
Since the first row has 60 seats and next row has 7 additional seats then we can represent it as
First row=60
Second row=60+7=67
Third row=67+7=74
The difference is always 7. If you deduct 7 from dirst row we get 60-7=53 seats
To get rhe number of seats in any row x then let y be the number of seats in row x
y=53+7(x)
For raw 1
Y=53+7(1)=60
For raw 2
Y=53+7(2)=67
Therefore, the formula for number of seats at any row will be
y(x)=53+7(x)
(b)
Using the above formula
y(x)=53+7(x)
Replace x with 18 hence
Y(18)=53+7*(18)=179 seats
