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Jawaban:

B.

1. f(x) = int F'(x) dx

f(x) = int (4-2x) dx

f(x) = 4x – x² + C

f(2) = 11

11 = 4.2 -2² + C

11 = 8 -4 + C

11 = 4 + C

C = 7

F(x) = -x² + 4x + 7

2. f(x) = int (3x + 2) dx

f(x) = 3/2 x² + 2x + C

f(1) = -13

3/2 + 2 + C = -13

7/2+ C = -13

C = -33/2

f(x) = 3/2 x² + 2x -33/2

3. f'(x) = int f''(x) dx

f'(x) = int (4 – 6x) dx

f'(x) = 4x – 3x² + C

f'(2) = -6

4.2 – 3.2² + C = -6

8 – 12 + C = -6

-4 + C = -6

C = -2

f'(x) = -3x² + 4x -2

f(x) = int f'(x) dx

f(x) = int (-3x² + 4x -2) dx

f(x) = -x³ + 2x² -2x + C

f(0) = 5

0 + 5.0² – 2.0 + C = 5

C = 5

f(x) = -x³ + 2x² -2x + 5

C.

1. m = 2-3x

y'= 2-3x

y = int (2-3x) dx

y = 2x -3/2 x² + C melalui (-1,0)

0 = 2(-1) – 3/2(-1)² + C

0 = -2 -3/2 + C

C = 7/2

y = -3/2 x² + 2x + 7/2

2. v(t) = 8t -6

s(t) = int v(t) dt

s(t) = int (8t-6) dt

s(t) = 4t² – 6t + C

s(3) = 28

4.3² – 6.3 + C = 28

36 -18 + C = 28

18 + C = 28

C = 10

s(t)= 4t² – 6t + 10

Penjelasan dengan langkah-langkah:

Untuk bagian C nomo 3 persamaan peecepatannya tidak diketahui, equationnya tidak muncul