To find the derivative of the function y = tan(2x), we will apply the chain rule, which is a fundamental technique in calculus for finding the derivative of composite functions. Step 1: Understand the Components In our case, we have a composition of two functions: the tangent function and the inner function 2x. The derivative … Read more
The given sequence is 3, 9, 27, 81. To find the next three terms, we first need to identify the pattern in the sequence. Let’s analyze the terms: The first term is 3
To write two hundred million as a number, you simply convert the words into digits. The number two hundred million can be broken down as follows: Two hundred = 200 Million = 1,000,000 Therefore, when you combine these parts, you get: 200 x 1,000,000 = 200,000,000 In summary, two hundred million is written as 200,000,000 … Read more
The expression ’10 of 10′ is often used to denote perfection or the highest possible rating in a given context. It suggests that something has achieved an ideal standard, achieving full marks in a scoring system where 10 is the maximum. This phrase can be applied in various scenarios, such as grading systems, performance evaluations, … Read more
10 to the power of 1 is a mathematical expression that represents the number 10 raised to the exponent of 1. In simpler terms, when any number is raised to the power of 1, it is equal to the number itself. Therefore: 101 = 10 This concept is part of the broader rules of exponents … Read more
To convert the whole number 236 into a mixed number, you first need to understand that a mixed number consists of a whole number and a proper fraction. In this case, since 236 is already a whole number, it can be expressed as: 236 = 236 0/1 The “0/1” part signifies there is no fractional … Read more
To find 5 percent of 1000, you can use a simple formula. Percent means ‘per hundred,’ so to calculate 5 percent, you multiply 1000 by 5 and then divide by 100. Here’s the step-by-step process: 1. Start with the number you want to find the percentage of, which in this case is 1000. 2. Multiply … Read more
To find the value of 3 raised to the power of 3, often written as 33, you need to multiply the base (which is 3) by itself for the number of times indicated by the exponent (which is also 3). This means: 33 = 3 × 3 × 3 Let’s break it down step by … Read more
When we talk about exponentiation, raising a number to a power means multiplying that number by itself a certain number of times. A negative exponent, like -7, has a special meaning. Specifically, 10 to the power of negative 7, written as 10^-7, is equivalent to the fraction 1 / 10^7. This means that instead of … Read more