The following is the definition of the limit of a function lim,→a ƒ (x) = L: Ve E R+, 38 e R+, Vx € R, 0 < [x – a| < 8 → \f(x) – L| < e (1) Write the negation of Equation (1). Your final answer should not contain any ¬ example, ¬(a < b) is incorrect, but a > b is correct. symbols. For You should show your steps but you do not need to state the law that you used.

Q: 11 7. Evaluate

A:

Q: b. N(0)

A: Given,  r→t=sint, t, cost                   ...1

Q: 10 8/10 + 9 7/12=

A:

Q: (369) 34 / 3 * 9 +12 / 4 * 5

A: Given,             369343*9+124*5

Q: 16 - (9 - 4) ÷ 5 =

A:

Q: 4 11  ✕  5 9

A: Consider the given expression as 411×59. 411×59=4×511×9=2099

Q: 1 7. 27 2.

A:

Q: only

A: Solution of the problem as follows

Q: 3) 24 12

A: We can find the value of x as below

Q: 2šr+e* dr

A:

Q: 198-33

A: Given: 198-33

Q: what is five tmes 2

A: Five time 2 means multiplication of 5 and 2

Q: {A €R?x2 | tr(A) = 0} | tr(A) — 0}

A: Here we take a general matrix of the given set then find the basis.

Q: 58)1,325

A: Quotient is 22 Remainder is 49

Q: 10. Find the sum of the coefficients of (2x– 3)°. c. -6560 d. -5120 а. -5660 b. -6780

A:

Q: Multiply. 5/ x-4 5. 7 6 X+1

A:

Q: 57-24

A: Given that: 57-24

Q: Evaluate o(7000).

A:

Q: (1– 3csc(

A:

Q: 1 3 8.

A:

Q: —5л 6.

A:

Q: The expansion of 500P3 is

A: 500P3 is a permutation term that gives the number of ways of arranging different combinations of…

Q: 6) 504

A: WHEN WE DIVIDE 504 BY 6,WE GET 504=6(84)+0 AS,WHEN WE DIVIDE 504 BY 6 THEN WE HAVE QUOTIENT =84 AND…

Q: 6) 14 51

A: x= 20.92

Q: 3e

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: 10(a +2)3 2. Expand. n 7ь

A: The expansion of the provided expression is given by,

Q: 1.5 Factorize the expression (5 - i)2 - (3 - 2i)z +eri

A: Factorization of a number or a polynomial is the process of writing the given number as the product…

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.