Answer:
x = 4 + sqrt 5
x = 4 - sqrt 5
Step-by-step explanation:
(X-4)^2 = 5
X - 4 = + - sqrt 5
X = 4 + sqrt 5 and
X = 4 - sqrt 5
Answer:
rectangle
Step-by-step explanation:
Answer:
-3.5
Step-by-step explanation:
It is halfway between -3 and -4
- R = -3 + (-4) / 2
- R = -7/2
- R = -3.5
Answer:
B) -3.464
Step-by-step explanation:
∫₀³ g'(x) cos²(2g(x) + 1) dx
Using u substitution:
u = 2g(x) + 1
du = 2g'(x) dx
½ du = g'(x) dx
When x = 0, u = 11.
When x = 3, u = -3.
½ ∫₁₁⁻³ cos²(u) du
You can use a calculator to solve this, or you can evaluate algebraically.
Use power reduction formula:
½ ∫ (½ + ½ cos(2u)) du
¼ ∫ du + ¼ ∫ cos(2u) du
¼ ∫ du + ⅛ ∫ 2 cos(2u) du
¼ u + ⅛ sin(2u) + C
Evaluating from u = 11 to u = -3:
[¼ (-3) + ⅛ sin(-6) + C] − [¼ (11) + ⅛ sin(22) + C]
-⁷/₂ + ⅛ sin(-6) − ⅛ sin(22)
−3.464