Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (If an answer does not exist, enter DNE.) f(x)=√x, [0, 4] C = Graph the function, the secant line through the endpoints, and the tangent line at (c, f(c)). y 4 3 2 1 y 3.0 2.5 2.0 1.5 1.0 0.5 1.0 1.5 2.0 2.5 3.0 X y 3.0 2.5 2.0 1.5 1.0 0.5 1 2 3 y 3 2 1 0.5 1.0 1.5 2.0 2.5 3.0
Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (If an answer does not exist, enter DNE.) f(x)=√x, [0, 4] C = Graph the function, the secant line through the endpoints, and the tangent line at (c, f(c)). y 4 3 2 1 y 3.0 2.5 2.0 1.5 1.0 0.5 1.0 1.5 2.0 2.5 3.0 X y 3.0 2.5 2.0 1.5 1.0 0.5 1 2 3 y 3 2 1 0.5 1.0 1.5 2.0 2.5 3.0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 52E
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![Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (If an answer does not exist, enter DNE.)
f(x) = √√x, [0, 4]
C =
Graph the function, the secant line through the endpoints, and the tangent line at (c, f(c)).
y
4+
3
O
y
3.0
2.5
2.0
1.5
1.0
0.5
1.0 1.5 2.0
2.5
3.0
X
Ⓡ
y
3.0k
2.5
2.0
1.5
1.0
0.5
1
2
3
Q
y
4
3
2
1
0.5
1.0 1.5 2.0 2.5
3.0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b5f6b20-2a90-4bf5-8874-1eafd41b02f1%2F558449ef-d671-4793-81f5-a42d6fd647f3%2F8zg8eu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (If an answer does not exist, enter DNE.)
f(x) = √√x, [0, 4]
C =
Graph the function, the secant line through the endpoints, and the tangent line at (c, f(c)).
y
4+
3
O
y
3.0
2.5
2.0
1.5
1.0
0.5
1.0 1.5 2.0
2.5
3.0
X
Ⓡ
y
3.0k
2.5
2.0
1.5
1.0
0.5
1
2
3
Q
y
4
3
2
1
0.5
1.0 1.5 2.0 2.5
3.0
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