Answer:
-2
Step-by-step explanation:
-4x^3 = 32
x^3 = -8
take the cube root of both sides.
x = -2
Let's evaluate the ratio test:

The limit as
of this quantity is 3, which is more than 1. So, the series diverges.
Answer:
5/32
Step-by-step explanation:
Since 5/8 x 1/4 = 5/32, that is the answer.
Key Note: When you get this type of question, multiply the second umber by the first.
One thing wrong is there is not closing parenthasees after x+1
and also, if you multiply it out, the answer is not 8x^2-8x-16 so the factored form given is worng
the real factored out form is 8(x-2)(x+1)
that person forgot the 8 in the front
Answer: 2 - 2*sin³(θ) - √1 -sin²(θ)
Step-by-step explanation: In the expression
cos(theta)*sin2(theta) − cos(theta)
sin (2θ) = 2 sin(θ)*cos(θ) ⇒ cos(θ)*2sin(θ)cos(θ) - cos(θ)
2cos²(θ)sin(θ) - cos(θ) if we use cos²(θ) = 1-sin²(θ)
2 [ (1 - sin²(θ))*sin(θ)] - cos(θ)
2 - 2sin²(θ)sin(θ) - cos(θ) ⇒ 2-2sin³(θ)-cos(θ) ; cos(θ) = √1 -sin²(θ)
2 - 2*sin³(θ) - √1 -sin²(θ)