So the question if find y'' for 4y=cos2x
First, find y by dividing by 4. y = cos2x/4
Then, take the first derivative. y' = -sin2x/2
Then, take the second dervative. y'' = -cos2x
The volume of the right circular cylinder with a radius of 6 m and a height of 9 m is <u>1018 m²</u>.
The volume of a substance is the total space occupied by a three-dimensional object.
The volume of a right circular cylinder with a radius of r units and a height of h units is given by the formula <u>V = πr²h square units</u>.
We are asked to find the volume of the right circular cylinder with a radius of 6 m and a height of 9 m.
Substituting these values in the formula, we get Volume,
V = π(6)²(9) m² = 324π m² = 1017.876 m² ≈ 1018 m².
Therefore, the volume of the right circular cylinder with a radius of 6 m and a height of 9 m is <u>1018 m²</u>.
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The simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.
<h3>What is an integer exponent?</h3>
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The expression:
After using the properties of integer exponent:
= g . 6² . p⁴
Thus, the simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.
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So each digits can only be selected once.
Let's start counting desired outcome.
Hundred position need to be at least 8. There is only one possible digits. So we will go with 8 and then there are 7 remaining digits.
One position can only be 2,4,6. because we need number to be even. So that's 3 possible digits. We will take one. 6 digits remaining.
Ten position can be anything so that would be 6 possible digits.
So the number of desired outcomes is 3·6 = 18.
Now count all outcomes.
Hundred, ten, and one position can get any digits
So that's 8·7·6 = 336
So the probability would be 18 / 336 = 3 / 56 ≈ 0.0536
Hope this helps.
Answer:
The terminal point is (1, 0) ⇒ D
Step-by-step explanation:
In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis.
- The terminal point on the positive part of the x-axis is (1, 0),which means Ф = 0° or 360° and cosФ = 1, sinФ = 0
- The terminal point on the positive part of the y-axis is (0, 1),which means Ф = 90° and cosФ = 0, sinФ = 1
- The terminal point on the negative part of the x-axis is (-1, 0),which means Ф = 180° and cosФ = -1, sinФ = 0
- The terminal point on the negative part of the y-axis is (0, -1),which means Ф = 270° and cosФ = 0, sinФ = -1
In a unit circle
∵ Ф = 2π radians
∵ 2π radians = 360°
→ By using the 1st rule above
∴ The terminal point is (1, 0)
