The x-intercepts of the function where the function is given as y(x) = cos(x) are π/2 and 3π/2
<h3>What is the x-intercept of the function?</h3>
The x-intercept of the function is the point or points where the graph of the function crosses the x-axis i.e. the point where the function equals 0
<h3>How to find the x-intercepts of the function?</h3>
The function is given as
f(x) = cos(x)
And the interval is given as
[0, 2)
The above means that we determine the value of x when the function f(x) equals 0
So, we have
cos(x) = 0
The above equation can be solved graphically
See attachment for the graph of the function f(x) = cos(x)
In the interval [0, 2), the graph crosses the x-axis at points x = π/2 and 3π/2
Hence, the x-intercepts of the function where the function is given as y(x) = cos(x) are π/2 and 3π/2
Read more about x-intercepts at
brainly.com/question/3951754
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Step-by-step explanation:
Let,





Therefore,
The number = 135
Answer:
The height of water in the second tank is 2ft
Step-by-step explanation:
In this question, we are asked to calculate the height of water in a second tank if the content of a first tank is poured into the second tank.
The plot twist to answering this question is that we need to note the volume of water in the first tank. Although the first tank has dimensions of 2ft by 3ft by 2ft height, the water in the tank only rose to a height of 1 feet.
Hence, to calculate the volume of the water in the first tank, the width and the length of the tank still remain the same, the only difference here is that we work with a height of 1 feet since the Water is not full.
Mathematically, the volume of water present in the tank will be;
V = l * b * h
V = 4 * 3 * 1 = 12 cubic feet
Now, this content is emptied into a second tank. Since the volume of water here is the same; this means;
12 cubic feet = 3 * 2 * h
We ignore the 4ft height as it is just the height of the tank and not the height of the water in the tank
6h = 12 cubic feet
h = 12/6 = 2 ft
The answer is 21 because that’s when I finally touch a goldfish
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