Example 1: Let fbe a continuous function defined on [-5, 10] whose graph below consists of 3 lines and a quarter of a circle: 10 It is also given that T(x)= [ f(t)dt from -5sxs10. Find the following: a) T(10) b) T(-5) c) T'(2) d) Determine the intervals that T(x) is concave up.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
icon
Related questions
Question
Plz solve this
BC-Unit 2
The Integral and Accumulation of Change
2.3 The Integral as an Accumulation of Area
From the Fundamental Theorem of Calculus, we can define the area function of f with a
lower limit a to be A (1) =J f(1) dt = signed area from a to x and therefore,
'3D
Еxample 1:
Let f be a continuous function defined on [-5, 10] whose graph below consists of 3 lines and
a quarter of a circle:
It is also given that T(x)= [ f(t)dt
from -5Sxs10.
Find the following:
a) T(10)
b) T(-5)
c) T'(2)
d) Determine the intervals that T(x) is concave up.
Page 17
BC-Unit 2
The Integral and Accumulation of Change
Example 2:
(2, 20)
(7, 20)
20
(16, 10)
10.
(18, 10)
0-
4
10
12
14
16
18
Transcribed Image Text:BC-Unit 2 The Integral and Accumulation of Change 2.3 The Integral as an Accumulation of Area From the Fundamental Theorem of Calculus, we can define the area function of f with a lower limit a to be A (1) =J f(1) dt = signed area from a to x and therefore, '3D Еxample 1: Let f be a continuous function defined on [-5, 10] whose graph below consists of 3 lines and a quarter of a circle: It is also given that T(x)= [ f(t)dt from -5Sxs10. Find the following: a) T(10) b) T(-5) c) T'(2) d) Determine the intervals that T(x) is concave up. Page 17 BC-Unit 2 The Integral and Accumulation of Change Example 2: (2, 20) (7, 20) 20 (16, 10) 10. (18, 10) 0- 4 10 12 14 16 18
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage