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!!!!!
Soluções para a tarefa
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: