11. The n-sphere, denoted by S" is the set of points that are at distance 1 from the origin in Rn+¹, that is: Sn = {(x₁,...,xn+1) € R¹+¹ | x² + ... + x +1 = 1}. Rn+1 Prove that S" is path connected for n≥1.

Q: 621 80

A: The normal curve is the continuous  bell shaped curve which is perfectly symmetric about is mean.…

Q: 54 22

A: Given figure,

Q: Evaluate Vi

A:

Q: 24 25

A: The base of the triangle is 24. The hypotenuse of the triangle is 25. The triangle is right angled…

Q: 26 ÷ 22

A: Solve by squarring both side

Q: 18 43

A: Given,

Q: 24 12 XD

A:

Q: 63 45 56 48

A:

Q: 367 58

A: Given: ×3675821286

Q: 27272+6626

A: Given,           27272+6626

Q: Evaluate 24

A: Explanation of the answer is as follows

Q: 16 27

A: The figure of the right triangle is given by To evaluate : The value of x

Q: SS dzdy

A:

Q: 12 13

A:

Q: 36 14

A:

Q: 4,513 ÷ 512

A: Here we have to find the value of  4513 ÷ 512

Q: 13

A:

Q: 40 10

A:

Q: 76J 1000

A:

Q: 346 ÷46

A: given 346 ÷46

Q: 56 10

A: The objective is to evaluate the value for

Q: 12 16

A: We know that If a perpendicular is drawn from the vertex of right angle triangle of a right triangle…

Q: 38 10

A:

Q: 1. For what values of a does the function f have a local (relative) maximum on (0,8)? Answer…

A: 1. For x= 3, the function  f(x) has a local maximum in the interval (0,8) 2. For x=2  , the function…

Q: 72 44

A: Given: In the right-angle triangle, assume that the missing angle is y So we know that the addition…

Q: 2549

A:

Q: In r dr

A:

Q: 318-4*

A: Given:∫4xdx8-4x3

Q: 12 30 24

A:

Q: 4 ÷ 647

A: See the details solution in below

Q: 618 x 99 6182

A:

Q: Evaluate: L7 3sin13 edx 512 1001 1024 1001 O 1024 1001 512 1001

A: Solution of given question is written in below steps.

Q: 247

A: