by hanjianwei | Feb 13, 2025 | Tech
The DeepSeek R1 model is a cutting-edge AI system that leverages advanced architectures to deliver exceptional performance. In this blog post, we will explore the key components of the DeepSeek R1 model, focusing on its use of Mixture of Experts (MoE) and Multi-Level...
by zhanhongyuan | Feb 12, 2025 | Math
Home Find the equation of a circle passing through the origin with center at $(3,4)$ Answer 1 Christopher Garcia To find the equation of a circle, we use the formula: $(x – h)^2 + (y – k)^2 = r^2$ where ( (h,k) ) is the center and ( r ) is the radius....
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home Determine the values of $sin(θ)$ and $cos(θ)$ for $θ = frac{5π}{6}$ Answer 1 Alex Thompson Let $θ = frac{5π}{6}$. This angle is in the second quadrant.To find $sin(θ)$ and $cos(θ)$, we use the reference angle $θ’ = π – frac{5π}{6} = frac{π}{6}$.The...
by hanjianwei | Feb 21, 2025 | Tech
Recently, DeepSeek has become extremely popular, but the official servers often experience Service Busy Issue, leading to availability issues. Additionally, there are some special requirements. To alleviate the strain on server resources and ensure that existing...
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home On the unit circle, what is the value of $sin(frac{pi}{6})$? Answer 1 Ella Lewis To find the value of $sin(frac{pi}{6})$ on the unit circle, we start by understanding that $frac{pi}{6}$ radians is equivalent to 30 degrees. In a unit circle, the coordinates of the...
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home Find the value of $ an( heta)$ given that $sin( heta) = frac{3}{5}$ and $ heta$ is in the second quadrant. Show all steps. Answer 1 Olivia Lee Given that $sin(theta) = frac{3}{5}$, we know the following:Since $sin^2(theta) + cos^2(theta) =...
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home Find the exact values of $sin( heta)$ and $cos( heta)$ for $ heta = frac{3pi}{4}$ using the unit circle. Answer 1 Ava Martin To find the exact values of $sin(theta)$ and $cos(theta)$ for $theta = frac{3pi}{4}$, we can use the unit circle. First, note that $theta...
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home Determine the Quadrant of a Given Angle in the Unit Circle Answer 1 Matthew Carter Given an angle of 120 degrees, determine which quadrant it lies in on the unit circle.Step 1: Recognize that the unit circle is divided into 4 quadrants:Quadrant I: 0° to 90°...
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home Identify the Quadrant of an Angle in Radians Answer 1 Isabella Walker Given an angle of $ frac{4pi}{3} $ radians, determine the quadrant in which the terminal side of the angle lies. First, recall that the unit circle is divided into four quadrants: 1. Quadrant...
by zhanhongyuan | Feb 12, 2025 | Unit Circle
Home Find the Cosine of an Angle on the Unit Circle Answer 1 John Anderson To find the cosine of an angle, we use the unit circle. Given that the angle is $theta = frac{pi}{3}$, we need to find $cos(frac{pi}{3})$. On the unit circle, the coordinates of the point...
