Find the unique anti-derivative F of 2e5x – 2e²x + 4e−3x e2x f(x) for which F(0) 1. F(x) 2. F(x) 3. F(x) 4. F(x) 5. F(x) 6. F(x) = = = = = = = 2 5 2|3 2|3 213 2|3 3 25 = = 0. 5x 3x 3x 3x 3x 5x - 2x | 2x I + 2x + - 2x T + 2x + + 2x + 4 i10 5 GTP 5⁰ 4 5 2 3 4 5 2 3 -5x -5x -5x - 3x -3x - 3x T GN IN GIN T + 15 22 15 ON EN | 15

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the unique anti-derivative F of
2e5x2e²x + 4e-3x
e2x
f(x)
for which F(0)
1. F(x)
2. F(x)
3. F(x)
4. F(x)
5. F(x)
6. F(x)
=
=
=
=
=
=
=
2/3
2 5x
5
2|3
3x
e³x - 2x
3
= 0.
2
3x
√³x + 2x +
3
2/3
=
27|N
5
3x
3x
- 2x
5x
-
2x
+ 2x +
+ 2x +
415
4 52
5
4 52
5
23
4
-5x
5
2|3
- 3x
-3x
- 3x
|
G/N GIN
+
I
15
22
15
2
15
25
Transcribed Image Text:Find the unique anti-derivative F of 2e5x2e²x + 4e-3x e2x f(x) for which F(0) 1. F(x) 2. F(x) 3. F(x) 4. F(x) 5. F(x) 6. F(x) = = = = = = = 2/3 2 5x 5 2|3 3x e³x - 2x 3 = 0. 2 3x √³x + 2x + 3 2/3 = 27|N 5 3x 3x - 2x 5x - 2x + 2x + + 2x + 415 4 52 5 4 52 5 23 4 -5x 5 2|3 - 3x -3x - 3x | G/N GIN + I 15 22 15 2 15 25
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