Answer:
(a) 120 square units (underestimate)
(b) 248 square units
Step-by-step explanation:
<u>(a) left sum</u>
See the attachment for a diagram of the areas being summed (in orange). This is the sum of the first 4 table values for f(x), each multiplied by 2 (the width of the rectangle). Quite clearly, the curve is above the rectangle for the entire interval, so the rectangle area underestimates the area under the curve.
left sum = 2(1 + 5 + 17 + 37) = 2(60) = 120 . . . . square units
<u>(b) right sum</u>
The right sum is the sum of the last 4 table values for f(x), each multiplied by 2 (the width of the rectangle). This sum is ...
right sum = 2(5 +17 + 37 +65) = 2(124) = 248 . . . . square units
<h2>
Explanation:</h2><h2>
</h2>
Here we need to write a function that models each variation, so we know that:
We also know that z varies directly with x and inversely with the product of r² and y. In other words, we can write z as follows:
Therefore, the model is:
Considering that the pace is estimated in the hundreds per hour, 4 hours after the park opens, there are 92 visitors based on the formula (e - l)(4). This is further explained below.
<h3>Exactly what is the definition of a function?</h3>
This phrase describes the connection between two variables.
The function is given as e(x)=0.03x^3+2,
The substraction of function
(e-l)(x)
ex-lx
Hence
(e-l)(x)=0.03x^3+2-(0.5x+1)
(e-l)(x)=0.03x^3-0.5x+1
Hence for x=4
(e-l)(4)=0.03*4^3-0.5(4)+4
(e-l)(4)=0.92
Read more about function here:
brainly.com/question/13461298
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(-9k+8k)*-1
9k-8k=1k
1k*-1=-1k
your answer is -1k