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
Answer:
the answer is 1/9 in decimal for 0.1
Step-by-step explanation:
Answer: V=7.605π
Step-by-step explanation:
The cylinder formula is V=πr^2h
Substitute the values.
V=π(1.3)^2(4.5)
V=π(1.69)(4.5)
V=7.605π
Hope this helps!
I beleive that x would equal 50
Answer:
{0.3, 3, 30, 300, 3000}
Step-by-step explanation:
Here a(1) = 0.3, and
a(2) = 3, and
a(3) = 30, and
a(4) = 300, and
a(5) = 3000
The first term (given) is 0.3, and the common ratio is 10.
