Answer:

Step-by-step explanation:

Answer: First option.
Step-by-step explanation:
Given the following equation provided in the exercise:
![\sqrt[3]{x+8}=-4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B8%7D%3D-4)
You can follow the steps indicated below in order to find the solution of this equation:
1. Cubing both sides of the equation, you get:
![(\sqrt[3]{x+8})^3=(-4)^3\\\\x+8=-64](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7Bx%2B8%7D%29%5E3%3D%28-4%29%5E3%5C%5C%5C%5Cx%2B8%3D-64)
2. Finally you must subtract 8 from both sides of the equation:

You can notice that this solution matches with the first option.
Answer:
Step-by-step explanation:
y = sin(t^2)
y' = 2tcos(t^2)
y'' = 2cos(t^2) - 4t^2sin(t^2)
so the equation become
2cos(t^2) - 4t^2sin(t^2) + p(t)(2tcos(t^2)) + q(t)sin(t^2) = 0
when t=0, above eqution is 2. That is, there does not exist the solution. so y can not be a solution on I containing t=0.
Answer:
B is the correct answer.
Step-by-step explanation:
Answer: 
<u>Step-by-step explanation:</u>
Pythagorean Theorem is: a² + b² = c² , <em>where "c" is the hypotenuse</em>
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Note: 4² + (8√2)² = hypotenuse² → hypotenuse = 12

Note: 12² + opposite² = 20² → opposite = 16

Note: adjacent² + 5² = 6² → adjacent = √11

Note: adjacent² + 7² = (13√2)² → adjacent = 17