а) In ( 4x+3. 2х-5

Q: . What is the coefficient of a" in (2 – x)"?

A:

Q: The product of 2x³ + 3x² + 1 and 2x² + 4 in z5 [x]/ is: None O x^2+2 5x^2+ 5x +1 4x+1

A: Quotient Ring.

Q: 2. Determine the products C = AB and D = BA if 4 67 -7 -5 A = -1 3 -5 21 -13 -4 7 6 %3D 1 -9 -3 1

A:

Q: The product of x* + x³ + 2x² and 2x² + 4x + 6 in z, [x]/ is: 5x^2+ 5x +1 O None O x*2+2 4x+1

A:

Q: 2x + 5y + 7z is a binomial. O True False re to search

A:

Q: Evaluate the integral -9f5 dt /1² +2

A:

Q: Yk+1Yk – 2yk - -2 into the linear o quation ea

A: Given,                     yk+1yk-2yk=-2                                (6.38)

Q: In(2x² – 2) = In- 2x2 = 2 In x 2. True False

A: Check whether ln2x2-2=ln2x22=2lnx is true or false as follows. Recall, ln(a)-ln(b)=lnablnxa=alnx

Q: alive. ind the secondLder y = 4x 4 - 8x 2 O 16x2 - 16 O 48x 16x +7 O 16x- 16x O 48x2 - 16

A:

Q: Let 21 = 2+ j3 and z 4 j5. Evaluate

A:

Q: is a solution of 2x-6x2+7x-33D0. 2 Prove that x 1-

A:

Q: 18. M2VUT = 175°, M2VUJ= 17x- 3, and M2JUT=17x+8. Findx. %3D %3D

A:

Q: Describe the behavior of the expresion as x → 2+ and as x → 2¯. Enter oo for o and -oo for – o. 2x…

A:

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

A:

Q: , 回,那 18x 3x? 2. 12x 10a'b 3. 27 -15ab igm 6. = x6-4

A:

Q: What is the coefficient of x7 in (3-x)10 O a. C(10,7)* -37 O b. C(10,3)* 3³ O c. P(10,7)* -33 O d.…

A: We have to find

Q: Prove that r - 2 does not split in Q ( V2e*).

A: given   x3-2    and    Q23e2π3i now…

Q: 4. What is the coefficient of x? a) in (1 + 2x)117 b) in (2 – x)13? c) in (5 – 2x + y)'1, where y is…

A:

Q: Compute A B, where A = AB= -5 6 -5 0 and B = 6 7 2 9

A:

Q: In Z15, compute (a) 6⊡5 = (b) 14⊞7 = (c) 9⊡10 =

A:

Q: Evaluate the integral / V4x4 - 12r? +7 xdx A - {(2x?-3) /4x4– 12x?+7 - 2 In |2x?– 3 + V4x4 -…

A:

Q: What is the coefficient ot x" in (x+3) '9? What is the coethicient et x? in the expanson ot lx +2) 4…

A: Binomial theorem expantion

Q: Use substitution to evaluate the integral | (3x³ + 5)° . 27x²dx

A:

Q: Prove that AABC A DEF. C=2 E-4,2) 6-14.214 A 4) TF-.5)

A: Topic - transformation of a triangle Option 3 is correct Triangle ABC is translated by 8 units to…

Q: O fend the values ofxlat which the fallocwing funchrons afe daanhin unus Pcx-ペースXー+3 fcx)= none none…

A: We have to find the point of discontinuity.

Q: Find the value of ‘v’ in v2 – 2v -15 = 0, if v is a natural number.

A: Given quadratic equation is,

Q: Give The 15T four non zero Term of Mhe Sentes aboufx= %3D

A:

Q: 1 Show that xn-m)}-2X(2). assu me. Zera 1c

A: As per the company's rule, we are supposed to solve one problem or three subparts. As there are two…

Q: Show that 12 2 dr = In (7+ 4v3). x² – 8x

A:

Q: (d) In(2x - 3) + In(x) – In(x + 1) = 0

A:

Q: What is the fifty-fifth term of 1, -1, 1, -1, . A) o в) 1 (c) -1 D infinity

A: Given that: 1, -1, 1, -1, ....

Q: et) of a ball thrown by a child is 1 -x² + 6x + 3 14 -

A:

Q: Show that 8 = [(AB) (aß) – (AB) (aB)] %3D

A: ANSWER: For the given data,

Q: Compute A−2 two different ways and show that the results are equal.

A:

Q: The product of 2x3 + 3x? +1 and 2x2 + 4 in zs (x]/ is: O None O 5x^2+ 5x +1 O 4x+1 x^2+2

A:

Q: Compute A B, where A AB= 0 -2 2 -2 0 2 -4 7 8 -5 -1 2 and B = 8 -2 1 -5 -1 3

A: This question can be solved using the concept of multiplication of matrices.

Q: a 2sin2x-3sinx +1 = in

A: Here, we need to find the exact solution from the trigonometric equation. In solution first, we use…

Q: 5. Show that: a. x* + 9x³ + 4x + 7 is O(x*) b. x? + 4x + 17 is O(x³)

A:

Q: QA Evahate 1- fa ++ In(2)x

A: Question number 3/A is solved. Solving more questions are against the policy of bartalby. Posts…

Q: Show that  1/3 Tn + 2/3Mn ) = S2n.

A: By definition, Tn=12∆xfx0+2fx1+....+2fxn-1+fxnMn=∆xfx1+fx2+.....+fxn-1+fxn…

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: Prove that the expression 2y2 - 128 is equal to 2(x² + 2) (x² – 2) (x8 + 4x+ + 16) Swer:

A:

Q: The product of 2x³ + 3x² + 1 and 2x² + 4 in z5 [x]/ is: O 5x^2+ 5x +1 O None x^2+2 4x+1

A:

Q: 13x 12x 5x 15 15 15 4x is equal to 3x O True O False

A: Topic:- algebra

Q: 24. 2n(ar31) In(3 +1)-3n(x)

A: To simplify using the properties of the logarithm the expression given below:

Q: Differentiate y=In (In 4x) -1 x In 4x B) In 4x 1 (c) x In 4x D None of the given choices A,

A: Derivative of lnx is 1/x

Q: Show that: (n-2)a2 ~X2 (n-2) o2

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: 4. Show that: do Tb/(a? – b²) - a+bcos0 а b2 Where a>b>0 such that * -1+ 1. < 1 - a²

A: To Show: ∫0πdθa+bcosθ=πba2-b2 Concept: i. 1+tan2x=sec2xii. cos x=1-tan2x21+tan2x2iii.…

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.