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Asked Dec 5, 2019
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FULL SCREEN
PRINTER V
Chapter 6, Section 6.3, Question 024
Find the area between the graph of f(t) = -2t for 0 <t < 6 and the t-axis using areas of triangles. Compare your answer with what you get using the Fundamental Theorem of
Calculus.
(a) Find the area between the graph of f (t) = -2t for 0 <t < 6 and the t-axis using areas of triangles.
Area = Number
(b) The value of f(t) dt obtained by using the fundamental theorem is:
6.
f(t) dt =
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FULL SCREEN PRINTER V Chapter 6, Section 6.3, Question 024 Find the area between the graph of f(t) = -2t for 0 <t < 6 and the t-axis using areas of triangles. Compare your answer with what you get using the Fundamental Theorem of Calculus. (a) Find the area between the graph of f (t) = -2t for 0 <t < 6 and the t-axis using areas of triangles. Area = Number (b) The value of f(t) dt obtained by using the fundamental theorem is: 6. f(t) dt = (Click for List) Open Show Work Click if you would like to Show Work for this question:

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Expert Answer

Step 1

Given :

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f(t) =-2t for 0<t<6

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Step 2

The graph of the given function-

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-2- (6, 0). A(0.0) -3 -1 3 10 B -2- -4 -6 f(t) = -2t -8 -10 c| (6, –12) -12 2.

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Step 3

Form the above graph, we find the area of tr...

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Base × Height Area of triangle = - AB× BC 2 =-x6x12 = 36 So, Area of triangle is 36 units.

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Math

Calculus

Integration