5. Let S be a nonempty subset of R that is bounded above, with upper bound b. Prove that b = sup(S) if the following condition holds : for every e > 0 there is IE S such that b - e

Q: 3 -4- -0- 4. 2.

A:

Q: 2. 3. 8. 5.

A:

Q: 7. What is the value of (X-2)2 for the scores 2,3,5?

A: To find : ∑X-22 for the scores 2, 3, 5

Q: 8.20+2

A:

Q: Evaluate. 5(41)

A: We need to evaluate the value of 5(4!)

Q: 12 5(.8)0

A: We can solve given problem by using G.P series.

Q: 12 X-

A: The solution is given below

Q: 5(18)

A: To find5(18)

Q: Find lim (x,y)→(12,3) xy cos(x – 4y). OS 1. –36 2. 36 3. 3 4. 0

A:

Q: = Complete the following truth table. Use T for true and F for false. You may add more columns, but…

A:

Q: 4(2w-5) = 5w + 4 %3D

A:

Q: 22n+1 3n+1 2.

A:

Q: Suppose that 103 Σ ai = 19 and i=1 103 i=1 b₁ = 18. Compute the sum.

A:

Q: 8 14

A:

Q: 6.3 3

A:

Q: Speedometer readings for a vehicle (in motion) at 14-second intervals are given in the table. t…

A: we need to find the distance travelled

Q: 5. 20 52

A:

Q: 3. 18

A:

Q: 10 4 2.

A: Solution-

Q: 11 35

A:

Q: y et 2x *Sec2X Pinel dy o

A: By using these differential formulas that are ddxex=ex, ddxax=axlnx where a is constant,…

Q: 6. 3 (2s+5)³

A:

Q: The columns of Q were obtained by applying the Gram-Schmidt process to the columns of A. Find an…

A: Solution by using Gram-Schmidt process as follows :

Q: 2/5 +7/12

A: Please see the answer below.

Q: What is the product of 3 and 3?

A: To find the product of given irrational numbers.

Q: 12 16 5n

A: Area of triangle= (1/2) × Base × Height

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.