10) (-6a b4 +36a bs +12a b 12a b 2,,3

Q: how many intergers solutions to x1 + x2 + x3 + x4 = 29 are there for which x1 ≥ 5, x2 ≥ 2, x3 ≥ 6…

A: The given equation is -  x1 + x2 + x3 + x4 = 29 where x1 ≥ 5, x2 ≥ 2, x3 ≥ 6 and x4 ≥ 5 We have to…

Q: Verify that (AB)T = BTAT.

A:

Q: Proved Ax (BNC) = (AX B)n (AXC) %3D

A:

Q: Find all the mindir and colartors of matrin A. -2 3. A- 6. -1 -3 1.

A: The minor of all the elements of a matrix can be obtained by deleting the corresponding row and…

Q: In a class of 130 SHS students, 41 offers agricultural science, 62 offers business and 31 offers…

A: 1.     Only A is 41-16=25 Only B is 62-16-14=32 Only V is 31-14=17   Venn diagram-

Q: Show that =- 5)" /31 + 6. 1 = 2 ) /7! + () /9! – ... %3D | -- IN

A: We know that, from the Taylor's formula for power series expansion of sinx is given as…

Q: If y = 3u² + 2u and u = √² +5, fip S da would be: (6√2²+5+2)(√) (6 (3u² +2u) + 2)(√5) ○(3√2²+5+1)(√)…

A: We can find the derivative as below.

Q: 3. Find and and y= ivative of

A:

Q: 4+48 llv C44 23. 14c < 9c + 5 ++++ +++++ -4 -3-2-1 0 1 2 3 4

A: We have to solve

Q: Compute AB, where A AT B = = 24 09 4 -3 -1 and B = 76 (1 %). 6 4

A:

Q: Is the equation Ax = b consistent for all b in R^3? Explain.

A:

Q: Prove that in Q(/-5) we have (3,1+ 2v-5)(3, 1 – 2-5) = (3).

A: To show the equality, first we take an element of the product and show that it is in (3) and then we…

Q: 5. Show that b, is always positive, by establishing the equation (Qn-1,Qn-1) (Qn-2,Qn-2) b,

A: We will apply the properties of inner-product to prove the given statement.

Q: 2. and as= Determine ifb=-1 =-2 is a linear combination ofaL az

A: Follow the procedure given below.

Q: If u = -12i - 6j and v = 9i + 9j, findu + v. O 21i - 4j O 21i + 3j O -4i + 3j O -3i + 3j

A:

Q: What element corresponds to (2,3) of (A^T) x (B^T)? What element corresponds to (3,1) of (AxB)^T?…

A:

Q: 2. Regarding the following statement: "If xs9, then -3 Sx and xS3." (a) Write down its converse.

A:

Q: Prove that √1+i√3+√1-i√3 = √6

A:

Q: 5.1. Show that y2 , V2 , and v3 + V2 algebraic. are

A: We will use definition of algebraic numbers

Q: Let A = -[-32-3] and B = (a) Find AB, A-1, and B-1. AB= 5-3 2-1 A-1 B-1 = (b) Show that (AB)-1 =…

A: a)AB=2-2-235-32-1AB=2(5)-2(2)2(-3)+2-2(5)+3(2)-2(-3)-3AB=10-4-6+2-10+66-3AB=[6-4-43]A-1=1AAdj(A)A-1=…

Q: 27. Prove in detail that Q(/3+ 7) = Q(/3, v7).

A: We have to prove given equation.

Q: Show that if l a - 5 I &lt; ½ and l b - 8 I &lt; ½, then we can conclude that l (a + b) - 13 I &lt;…

A: Given that a-5&lt;12   and   b-8&lt;12. This implies that,

Q: (16) Show that AB=BA for 0 0 0 3 0 0 0 1 A = and B = 0 3 1 2

A: A=-100030001 and B=500030002

Q: 11.32 question attached. Thank you for answering my question!

A: It is given that X and Y are independent normal random variables.The required probability is:

Q: 6. Number of ways a person can travel from A to C via B, if there are 3 routes from A to B and 5…

A: Let there are 3 places A, B and C. And given that there are 3 routes from A to B. And 5 routes from…

Q: 27) Calculate AC, BC and (A + B)C. Also, verify that (A + B)C = AC + BC 0 6 71 ΓΟ 1 1] 2 If A = -6 0…

A:

Q: 11. -a? - 2bc - Icl if a = -2, b = 3, and c = -3

A: Solution:

Q: S Sech (ax-

A: Evaluating the integral of hyperbolic function using substitution.

Q: If an =n+ 3", n >0 then choose the correct option O az = 4a2 + 10a0 + 4 a3 4a2 - 10a0 4 аз — 4а2 +…

A: I have checked one by one for given option

Q: Q2.2 Compute 3 -7 2 3 3 -3 det 3 -8 2 - 3 2 2 (Entor the

A: according to the guidelines we should able to do only one question at a time #2.2

Q: :Find solutions to the system of equivalences 2x 3 (mod 5) 4x 2 (mod 6) 3x = 2 (mod 7)

A:

Q: 3. Which statement about k (z)= 3z -7z+2 is true?

A:

Q: 1 5, If 21 = 2 = 3, 4 = 5, and mz4 = mz3 + 10°, What is m25? %3D m25 =

A: We can find the value of angle 5 as below.

Q: Show that 3n2+8nlogn is big-Oh (n²)

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and…

A: Here, we need to use transition matrix concept. Because, transition matrix is a matrix whose product…

Q: 2 If A = 22 and B = -70 6. 10 , verify that B = s-AS, where s = -19

A:

Q: how that Q(√2 + √3) =Q(√2,√3).

A:

Q: 2. Show that if 8=(AB)- then - > N - - (AB)² + (aß)² – (αB)² – (AB)² = [(A) − (α)] [(B) − (ß)] +…

A:

Q: 8a+4=

A: Given : 8a+4=4+8a

Q: 7. у%3Dх! 8. In(x?y) = 3 „Inx ,In3x² 9. y = eln3x²

A: To evaluate dydx: 7) y = xln x8) ln(x2y) = 39) y = eln3x2

Q: Is Z4OZ10 = Z2OZ20 a) True b) False

A:

Q: Not clear on answers for b and second part of c

A: (b)  Write the derivative equation for the model. (Round all numerical values to three decimal…

Q: fx, x, (*1 *2) = 16 1X¡l < 4, 2 < X2 < 4 are independent and orthogonal.

A:

Q: 2: Suppose A {0,2,4,6,8}, B = {1,3,5,7} and C = {2,8,4}. Find %3D 4) C\B

A:

Q: 18수 16 14 -12 10- -8 -4 -2- -2 2 4 -2 -4 --6

A:

Q: A police department released the numbers of calls for the different days of the week during the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 3. Show that if (AB)₁, (αB)₁, (Aß)₁, (αß)., and (AB)2, (αB)2, (AB)2, (aß)2, be two aggregates…

A:

Q: 2.Let A € R, b e R" and k be natural numbers. System Ax = b has only one solution if system A'x = b…

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.