Let X = {a, b, c, d} , T = {0, X, {a, b}, {c, d}}. (a) Is B = {X, {a,b}} base for (X, T)? Why? (b) If A = {b, c} find TA. %3D

Q: f = {(-9, – 2), (-8, 5), (-6, 1), (- 3, 7), (–1, – 2),(0, – 10)} and g = {(-7,7), (-6, 6), (-5, 5),…

A: Given that, f = {(-9, -2), (-8, 5), (-6, 1), (-3, 7), (-1, -2), (0, -10)} g = {(-7, 7), (-6, 6),…

Q: Let a = 6 and b = 6 What is the coefficient of x6y6 in (x + y)a+b?

A: This is a question of counting. One needs to find the coefficient in this fi ite expansion.

Q: .5 x dx 8. f 3 x2 - 5 A. In5 B. In16 C. In /5 D. In 4

A: Given: I=∫35xdxx2-5   ....(1)   We know that; The logarithmic rule; 1). logaxb=b·logax 2).…

Q: iF Xn Bin (60 0.7) Find P(X=4)

A: X~Binomial(n=6 , p=0.7) then find P(X=4)=?

Q: Ifv = [ -2, 4], compute and draw 2v, 1/2 v, and -2v.

A:

Q: dy If y = (5x + 1)(2x +In x), then will be %3D dx (5x + 1) +) + 5(2x+ In x) A. -1 B. (5x+ 1) - 2. +…

A: The given problem is to find the derivative of given function y=(5x+1)(2x-1+ln(x)) , we can use…

Q: Let a = 1-j+ k, b = 4i + 5)-k, and c - -I+j+ 4k. Find the Indicated quantity. a (b x c)

A: Given: a=i-j+k, b=4i+5j-k, c=-i+j+4k To evaluate: a·b×c Cross product of two vectors r→=ai^ +…

Q: Ā = ë, + 3ë, – 2ẽ, -B*=? B = 4ẽ, – ë, Ĉ = -3ẽz– 5ẽ,

A:

Q: show that (to) arg = = argz

A: We have to show that  arg z¯ = -arg z.        ...A     Let us first see what is z¯, z¯ is conjugate…

Q: Complete.

A: We have ,  7x=910

Q: -2 Evaluate (5х — 2) dx -6

A:

Q: Find x and y such that,  77815x - 8216y=(77815 , 8216

A:

Q: Let F = (2x, 3y, 7z). Calculate div(F) and curl(F). (Use symbolic notation and fractions where…

A: the divergence (div) and curl of the vector field F = (2x, 3y, 7z), we can use the standard…

Q: dx. Evaluate - 1)²(x² + 2) x+3

A:

Q: 3xy If z determine 2x - 3y

A:

Q: z = b +, for a + 9 = . a

A:

Q: Let a = (1,2,3),b = (4, –3, –1),c=(-5, –3,5) and d = (-2, 1,6).Find: %3D а. а+ 5b b. [7c| – |5d| c.…

A:

Q: Let a =(3, -3, 8), and B = (-7, -1, 3), and = (8, 4, 11). Find ||2ä - 36||.

A:

Q: -2 1 Evaluate dx. 4x2 + 4x + 5

A: This question is related to definate integral. Solve in step 2.

Q: If p lg. find the value of x.

A:

Q: Find Z if x = 12, x= 8 and S= 4.

A: The formula of Z-score is,

Q: Which value(s) of x satisfies the equation Vx? -4x –5 = 2x – 10 {3, 5, 7} {5} {5, 7} O {7}

A: Given an equation x2-4x-5=2x-10 To find the values of x that satisfy the equation

Q: If we have B= (2Xyz,5XyE,312) anod shewas $ = X+y = - z.T find ⑤マ幅)マ¢

A: Find the attachment

Q: Evaluate. Use a capital C for any constant. fae 9 /6(82 – 1)(82² – 2æ + 3)° dæ (3(8x^2-2x+3)^10)/8 -

A: NOTE: Refresh your page if you can't see any equations. . ...............(1)

Q: Let á = (–1, 0, 1), b = (0, 3, − 1) and ₹ = (1, 2, —2). a. Find à x b. b. Find (a + b) x č. c. Find…

A: NOTE: Refresh your page if you can't see any equations. . here we have . find the determinant

Q: The value of x such that (9) 3x – 12) = (3)2x) is: Select one: а. 12 b. -6 С. -12 d. 6

A:

Q: 6. Given i [2, – 5]and i = [-7,2] find a. 5ū

A: Topic = Vector

Q: (D+30+3 (0+30+2)) -2)y ex %3D

A: The given differential equation is: D2+3D+2y=e-xx where D=ddx is the differential operator.

Q: iPhone. The number of iPhones purchased is given by N= 2,000,000/1+2e-4t where {t is the time in…

A: Given, N=2,000,0001+2e-4t              ........1WhereN→Number of iPhones purchasedt→timein weeks

Q: FinD Z 1. to #a-z°

A: Givenz=-2

Q: Let a = -27 +53 + 4k. Find a.

A:

Q: (1 + 1)e dr 5.

A:

Q: (² 4 Calculate AT Let A = Select one: O a. O b. O C. O d. (63) 5 TOT -4 0 0 -2 -3 2B. 2 (9²) -5 -2 0…

A: The matrices are given by A = 0-24-3B = 21-11 To evaluate: The value of AT-2B.

Q: f A = (1 2)           (-4 5)   and B (-3   1)            (0  -2) calculate ATB

A:

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: Given that A=6-j1 and B=2+j3, find A*B

A:

Q: ayE20 a12=140 an as

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.