The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and
1 answer:
Functions can be used to model real life situations.
The hose is 3.2 feet above the ground, at a horizontal distance of 4 fee
The function is given as:
At a horizontal distance of 4 feet, the value of x is 4
i.e.
Substitute 4 for x in f(x).
So, we have:
Evaluate the exponent
Open both brackets
Add -4.8 and 8
Hence, the hose is 3.2 feet above the ground
Read more about functions at:
You might be interested in
Answer:
y - 7 = 4(x - 35)
Step-by-step explanation:
The fundamental theorem of calculus states that:
= f(x).
So using the fundamental theorem of calculus, you can find that h'(x) = f(x).
The question tells you that f(x) is periodic with a period of 8, so f(x) repeats itself every 8 units.
Using this, you can find that the slope of h(x) at x = 35 is the same as the slope of h(x) at x = 3, which is 4.
The slope of h(x) at x = 35 is 4.
Now I have to find the value of h(x) when x = 35. It is the area under f(x) from 0 to 35.
The area underneath f(x) from 0 to 35 is 7. When x = 35, h(x) = 7.
Now use the point-slope formula to write the equation of the tangent line.
The answer is <u>y - 7 = 4(x - 35)</u>