devyy To find the Taylor series for the function f(x) = rac{1}{x – c} centered at c, we start by recalling the definition of the Taylor series for a function f centered at c: f(x) = f(c) + f'(c)(x – c) + rac{f”(c)}{2!}(x – c)^2 + rac{f”'(c)}{3!}(x – c)^3 + ext{…} First, we need to compute … Read more
The term principal in the context of a loan refers to the original sum of money that is borrowed. It’s the amount that a lender provides to a borrower, and it represents the initial balance that needs to be repaid. Understanding the concept of principal is essential for anyone considering taking out a loan, as … Read more
Simplifying the Expression: 4×2 × 6x × 5×2 × 5 To simplify the expression 4×2 × 6x × 5×2 × 5, we’ll follow the process step by step. Step 1: Multiply the Coefficients First, let’s look at the coefficients (the numbers in front of the variables): 4, 6, and 5. Multiply them together: 4 × … Read more
To find the coordinates of the other endpoint of the line segment, we can use the formula for the midpoint. The midpoint (m) of a line segment with endpoints (x1, y1) and (x2, y2) is calculated as follows: m = ( (x1 + x2) / 2 , (y1 + y2) / 2 ) In this … Read more
Factoring the Expression 45x² + 60x + 220 To factor the expression 45x² + 60x + 220, we will follow a systematic approach: Step 1: Identify the Expression The expression is polynomial in the form of ax² + bx + c, where: a = 45 b = 60 c = 220 Step 2: Look for … Read more
To calculate the probability of being dealt a five-card poker hand that includes the Ace of Hearts, we first need to consider the total number of possible five-card poker hands and the number of hands that contain the Ace of Hearts. 1. **Total Number of Five-Card Poker Hands:** There are 52 cards in a standard … Read more
To find the value of x when you are given cos(22°) and asked to round it to the nearest tenth, follow these steps: First, calculate the value of cos(22°). You can use a scientific calculator or an online tool for this. Most calculators will allow you to enter the angle directly. After inputting 22°, you … Read more
To convert rupees into paise, you can use a simple conversion factor: 1 rupee is equal to 100 paise. Therefore, to convert Rs 90 into paise, you can follow these steps: Identify the amount in rupees, which is Rs 90. Multiply the amount in rupees by the conversion factor of 100. So, the calculation would … Read more
The longest tape that can measure the dimensions of a room exactly is found using the concept of the greatest common divisor (GCD). The dimensions of the room are given as: Length: 825 cm Breadth: 675 cm Height: 450 cm To find the GCD of these three numbers, we can break each dimension down into … Read more
Calculating the unit price is a straightforward process that helps you understand the cost of a single unit of a product. This can be especially useful when comparing prices of similar items. To find the unit price, you need to follow these simple steps: Identify the Total Number of Units: Determine how many units are … Read more