Every positive number has two square roots - a positive and a negative (unless the value is 0).
The length of something can only be a positive number and since there is only one positive square root, there is only one answer.
Step-by-step explanation:
Derivation using Product rule : -
To find the derivative of f(x) = sin 2x by the product rule, we have to express sin 2x as the product of two functions. Using the double angle formula of sin, sin 2x = 2 sin x cos x. Let us assume that u = 2 sin x and v = cos x. Then u' = 2 cos x and v' = -sin x. By product rule,
f '(x) = uv' + vu'
= (2 sin x) (- sin x) + (cos x) (2 cos x)
= 2 (cos2x - sin2x)
= 2 cos 2x
This is because, by the double angle formula of cos, cos 2x = cos2x - sin2x.
Thus, derivation of sin 2x has been found by using the product rule.
That is correct. The log3 stays the same and the numerator goes first and then the denominator goes second. When it’s a fraction like that one, the standard form would be subtraction.
Answer: C
<u>Step-by-step explanation:</u>
The general form of the equation is: g(x) = a|x - h| + k ;
- "a" represents the vertical stretch <em>(or shrink)</em>
- "h" represents the x-coordinate of the vertex (left and right)
- "k" represents the y-coordinate of the vertex (up and down)
4 units left means h = 4
2 units up means k = 2
--> g(x) = |x - 4| + 2
