Answer:
Step-by-step explanation:
We will first find the derivative of the function to get the formula for the slope of the tangent. Using implicit differentiation, we find that:
and
Solving for the derivative and at the same time simplifying within the parenthesis:
so
If our tangent line is vetical, that means that the slope is undefined. Our slope is undefined where y = 0. Therefore, we need to find x when y = 0 in our original equation. If y = 0, then
becomes
and
That means that x = 0 (we divide away the negative on the x, and since 0 isn't negative or positive, we get that x^4 = 0)
That means that the point at which the tangent is vertical is (0, 0)
Answer: 116 in2
Step-by-step explanation:
I did it
Total mass of the filled aquarium = 3*3 * 62 = 1674 pounds
As the table can only support 200 lbs the aquarium should not be put on the table.
(b) No the deisity of the water is a constant
Rather than solve the entire problem for you, I'll give you some hints to help you get started:
1. The amplitude of your sinusoidal graph is |3|, or just 3.
2. Because of that, your graph begins at the point (0,3).
3. Because this is the cosine function, your graph descends from (0,3) to y=3 and then begins to ascend (back to y=3).
4. The coefficient of x is "one half pi," or pi/2. Call this "b".
5. The period of your function is 2pi/b. Here, b=pi/2.
Dividing, [2pi]/[pi/2] = 4.
6. Mark your horizontal axis as follows: x=0, 4, 8, 12, 16, ...
7 Draw one cycle of the cosine function with amplitude 3. It must begin at (0,3) and end at (4,3) (which covers one period).
8. Draw another cycle or two, beginning at (4,3) and ending at (8,3), and so on.
Answer: Point
Step-by-step explanation: Point