1. Prove the following equality by induction: 1- 22 + 32 – 4? +. + (2n - 1)? - (2n)² = -n(2n + 1), for all n 21 %3D

Q: Consider the multiple angle equation sin(30) 2 a) Find all the solutions of the equation. Let k be…

A: We know that--> if  sin θ = sin ∝  then the general solution is  θ = nπ + (-1)n ∝…

Q: 7. Which of the following is not true? a. 8 =23 b. 1=20 c. 5-2 = 1/25 d. 31=1

A:

Q: 0.3)1536.

A: 0.31536 Note: Multiple questions are given, we are answered with first question only.

Q: lim (In(x))/x

A: We use L'Hospital rule to evaluate the given limit.

Q: What is JL? 12 M 16 O A. 9 B. 12.5 C. 17.5 O D. 25

A:

Q: The ratio of soccer players to baseball players on two school teams is 4 to 7. Which of the…

A:

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.