Written HW 11 - Tuesday, November 7 Name 1. The graph of f is given below. When
ID: 2891217 • Letter: W
Question
Written HW 11 - Tuesday, November 7 Name 1. The graph of f is given below. When asked to estimate f(r)dr to five decimal place accuracy, a group of calculus students submitted the following answers. Although one response is correct, the others are ineorreet Using arguments your classmates would understand, identify the correet answer and explain why the others cannot be correct. Note: “Because it is the only answer remaining." is not a sufficient reason for choosing a value. Note: Copies of the graph are provided witheach response in cuse you would like to refer to or use the graph in your explanation (a) -0.0367. This reaponse is correet incorrect (circle one. Explain why 0a 0.16 014 012 004 (b) 0.3672. This response is correet incorreet (cirele one). Explain why 0a 0.18 0.16 012 004Explanation / Answer
a)
False
Notice that the area is above x-axis
So, this area must be positive, i.e integral must be posiitve
cant be negative
------------------------------------------------------------------
c)
False
Notice that the max y is 0.2
And max x = 4
Even if we consider the rectangle between 0 <= y <= 0.2
and 1 <= x <= 4, the area is : 3 * 0.2 = 0.6
And clearly the rectangle is way way way huger than the area we finding but this option purports to state that the area = 3.6719???
I think not!
-------------------------------------------------------------------
d)
Same reasoning as C
Rectangle area = 0.6
And clearly the area we findin is about slightly more than half the area of 0.6 cuz the cufve can be thought of as a diagonal of the rectangle. But this option is way way way too low
So, FALSe
-------------------------------------------------------------------
b)
TRUE
Cuz if we look at 0.3672,
it is about slightly more than half of 0.6(wich is 0.3)
So, this is logically right!
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.