devyy Determining whether a function has a minimum or maximum value is a fundamental aspect of calculus, particularly when analyzing functions through their derivatives. Here’s a detailed approach to figuring this out: 1. Identify Critical Points First, you need to find the critical points of the function. These are points where the first derivative of the … Read more
Data is considered to be in sequence when its values are arranged in a specific order, typically from the lowest to the highest. This organization allows for easier analysis, interpretation, and retrieval of information. In a sorted sequence, each element is less than or equal to the next, which establishes a clear, coherent structure. For … Read more
To find the probability of rolling two dice and obtaining a sum of 6, we first need to understand the total possible outcomes when rolling two dice, and then identify the specific outcomes that yield a sum of 6. When we roll two six-sided dice, each die has 6 faces. Therefore, the total number of … Read more
The x-intercept of a line is the point where the line crosses the x-axis. At this point, the value of y is always 0. To find the x-intercept of the equation given, which is 4x + 2y = 12, we can follow these steps: Step 1: Set y to 0 Start by replacing y with … Read more
An arithmetic sequence is defined as a sequence of numbers in which each term after the first is formed by adding a constant difference, known as the common difference, to the previous term. In the given sequence: 9, 11, 13, 15, we can observe that: The first term (a1) is 9. The common difference (d) … Read more
To approximate the value of y in the equation 10y = 5 using the graph of f(x) = log₁₀(x), follow these steps: Solve for y: First, start by simplifying the equation. We can rewrite it as: y = log₁₀(5). This transformation is derived from the property of logarithms that states if a = b, then … Read more
To determine the length of AE based on the provided information, we need to analyze the relationships between the segments in the diagram. If we assume that CE (12 units) and BE (5 units) are line segments connecting points C, E, and B, let’s define AE as another segment connecting points A and E. In … Read more
To solve the quadratic equation 2×2 + 40x + 2 = 0, we can use the quadratic formula, which is given by: x = (-b ± √(b² – 4ac)) / 2a Here, the coefficients are: a = 2 b = 40 c = 2 Now, we will calculate the discriminant, which is b² – 4ac: … Read more
The y-intercept of a function is the point where the graph intersects the y-axis. This occurs when the value of x is zero. To find the y-intercept for the function f(x) = 4 + 5x, we substitute x with 0: f(0) = 4 + 5(0) This simplifies to: f(0) = 4 + 0 = 4 … Read more
To find the y-intercept of the line given by the equation 3y + 4x = 15, we need to determine the value of y when x is equal to 0. The y-intercept is the point where the line crosses the y-axis, which occurs when the value of x is zero. Let’s solve for y: 3y … Read more