Question

URGENTE!!!!! Assinale a alternativa correta.

f(π) - f(π/2) / f(π/3) + f(π/6 , para f(x) = sen x + cos x:

a) 0
b) 1-√3
c) 1+√3
d) √3-1
e) 1 / √3+1

ajuda por favor!!!!!​

Answer 1

Resposta:

Subse¸c˜ao 1.3

1)

−4 −3 −2 −1 1 2 3 4

−4

−3

−2

−1

1

2

3

4

x

y

2)

1.5cos 5x 2. − 3sen x 3.cos x + sen x

4.cos 2x 5.

4

cos2 4x

6.sen x + xcos x

7.cos x − xsen x 8.2xcos x2 9.sen 2x

10. − 3x

2

sen x3 11. −

1

x2 cos 1

x

12.2xcos 1

x + sen 1

x

3)

(a)y

′ = cos x; y

′′ = −y; y

′′′ = −y

′

; y

(4) = y (b)y

′ = −sen x; y

′′ = −y; y

′′′ = −y

′

; y

(4) = y

(c)y

′ = 3cos 3x; y

′′ = −9y; y

′′′ = −9y

′

; y

(4) = 81y (d)y

′ = −3sen (3t − 1); y

′′ = −9y; y

′′′ = −9y

′

; y

(4) = 81y

4)

(a)

cos (x−y)

1+cos (x−y)

(b)

−1

1+sen y

(c)

y

cos y−x

(d)

ysen x

cos x+3y

2

(e)

−cos x

1+sen y

(f)

ycos xy−sen (x+y)

sen (x+y)−xcos xy

5)

(a)3/2 (b)2 (c)a/b (d)a/b (e)2/3 (f)a/b (g)0 (h)2 (i)1/2

6)

(a) −

√

2

2

(b)1 (c)5/2 (d)cos a (e) − sen a (f)0 (g) −

√

3

3

(h)

2

π

(i)

√

2

Subse¸c˜ao 2.2

1. (a)0 (b) ln 2/3 (c)1 (d)1 (e)@ (f) − ∞

2.

(a)D = R;

xe

√

x2+1

√

x2+1 (b)D =] − ∞ − 1[ ∪

]1,∞[; 2

x2−1

(c)D = R; (cos x)e

sen x

(d)D =]1,∞[; 3x

2

x3−1

(e)D = R; e

x

cos x − e

x

sen x (f)D =]0,∞[; 3x

2

ln x +

x

3+1

x

3. y − 2 ln 2 = (1 + ln 2(x − 2)

4. (a) x > 0 (b) x < 0

5. (a)y

′ =

1−yex+y−2y ln (y+1)

e

x+y+yex+y−y

(b)y

′ =

2x−y

2e

x+y− 1

x

2yex+y+y

2e

x+y+ 1

y

6. (a)1/n (b)0, se 1/n > 1/m e ∞ se 1/n < 1/m (c)2 (d)

q

2−p

2

2

(e)p − q (f)1 (g) − π (h)@ (i)n2

n−1

Explicação passo-a-passo: