devyy To find sin(2x), cos(2x), and tan(2x) when tan(x) = 43 and x is in quadrant II, we can follow these steps: 1. Understanding Quadrant II Rules In quadrant II, the sine value is positive while the cosine value is negative. 2. Finding Sin(x) and Cos(x) Given tan(x) = 43, we know that tan(x) = sin(x) … Read more
Understanding Turning Points of Continuous Functions Turning points in a continuous function f(x) are crucial in understanding the behavior and shape of the graph of the function. A turning point occurs where the function changes direction, meaning it goes from increasing to decreasing or vice versa. Here are the steps to identify potential turning points: … Read more
To find the glide reflection image of a blue triangle when you have a specific translation and a line of reflection, there are a few steps to follow. Here, we will break it down into manageable parts. Step 1: Understand the Components A glide reflection is a combination of two transformations: a translation followed by … Read more
To rationalize the denominator of the expression 3√2 / 3√6, we want to eliminate the square root in the denominator. The steps to achieve this are as follows: Write the original expression: It starts as 3√2 / 3√6. Identify the denominator: In this case, the denominator is 3√6. Multiply the numerator and denominator by the … Read more
To find the other number when you know the LCM and HCF, you can use the relationship between them: LCM × HCF = Number 1 × Number 2 In this case: LCM = 48 HCF = 8 Number 1 = 16 Let’s denote the other number as Number 2. Plugging in the values we have: … Read more
To find the critical numbers of the function g(y) = y² + 2y + 4, we need to follow a few key steps. Critical numbers occur where the derivative equals zero or where the derivative does not exist. Step 1: Compute the derivative. The first step is to calculate the derivative of the function with … Read more
To evaluate the expression containing characters such as ‘é’ and ‘ã’, we first need to understand the context and the encoding used here. It seems we have a misrepresentation or misunderstanding of how such characters are presented in different encoding systems, particularly UTF-8. In this case, the characters ‘é’ and ‘ã’ are likely being represented … Read more
To find the probability P(X = 10) for a discrete uniform random variable ranging from 0 to 12, we first need to understand the properties of a discrete uniform distribution. A discrete uniform random variable is one where each value in the specified range has an equal probability of occurring. In this case, the random … Read more
To solve for x when y is 9, we start by understanding that x and y vary directly. This means there is a constant ratio between the values of x and y. We can express this relationship as: y = k * x where k is a constant. From the information given, we know that: … Read more
The arithmetic sequence given by an = 3 + 9n + 1 can be simplified to an = 9n + 4. In terms of the variable n, the domain relates to the values that n can take. In an arithmetic sequence, n typically represents the position or index in the sequence. By convention, this means … Read more