1(d) Show that x − 4 is a factor of x − 5x + 2x + 20x − 24

Q: 3 3x2+2x+1 3. Compute dr 2 x2

A:

Q: 8) Is (x+3) a factor of x4 + 2x2 + 17x – 48 Drop coefficients onto top line

A: Given,  x4+2x2+17x-48

Q: If y= (5x+1) (2x-1-1n7), then y’ will be (5X+1) 2/X2 +1/7

A: Given that  If y= (5x+1) (2x-1-1n7), then y’ will be (5X+1) 2/X2 +1/7

Q: 1 the general solution of x²y" – xy – 3y = 2x².

A:

Q: The coefficient of x²y4z5 in the expansion of (3x+y+z)¹¹ is

A: The given expression is: (3x + y + z)11 To find: The coefficient of x2y4z5 in the expansion of (3x +…

Q: Prove that there exists at least one solution to the equation 4x+ 3x +1 = 4x2.

A:

Q: Find all solutions of x2 - x + 2 = 0 over Z3[i].

A: Given: Z3i=a+bi|a,b∈Z3       =0, 1, 2, i, 1+i, 2+i, 2i, 1+2i, 2+2i We have to find all solutions for…

Q: The product of 2x3 + 3x² + 1 and 2x2 + 4 in z3 [x]/ is: None 4x+1 5x^2+ 5x +1 x^2+2

A:

Q: 4 x + 8. Find x and B, if B = l2x – 3 x+1 is symmetric. 2x-3 x + 1]

A:

Q: Find The values of Kr4.Z) 오X+34-24 3x+4+27313 X+2°4-5Z=-14

A: First, write the given system of equations in Matrix form after that use Gauss Jordan elimination to…

Q: If fx)x3x+1 then fx) (In x]3x (3x+1}x3x (2x+ In xr3x+ 1 3x13r 3 Inx 3x+13 In x

A: Note:Hi there! Thank you for posting the question. The first line in the image is not very clear.…

Q: 18x- 2(3x + 1) = 5x – 16; Prove: x = -2 %3D

A:

Q: 3. Divide x+4x-3x-2 by X-2) then divide if CX-2) isa factor of x² t4x-3y-2 why?

A: We have to divide (x3 + 4x2 - 3x - 2) by (x - 2)  Then ,

Q: 1. Determine the number on y=-x+3 2x-3y -24 %3D

A: The red line represents y=-x+3 , and the blue line represents 2x-3y=-24

Q: A polynomial of degree n  1 has exactly zeros ifa zero of multiplicity m is counted m times

A: A polynomial of degree n≥1 has exactly  ___________  zeros if a zero of multiplicity m is counted m…

Q: Prove that there are no integer solutions to the equation x² = 4y + 3

A: To prove that there are no integer solutions to the equation…

Q: A polynomial of degree n 2 1 has exactly zero(s) if a zero of multiplicity m is counted m times.

A:

Q: PROBLEM 3 Let f (x) = 6x² + 2x - 19. %3D

A:

Q: 5x + 6y

A:

Q: fo)-글x3-글 x2-6x +4 has

A:

Q: 1. It is known that the polynomial p(x) = 2 – (x + 1) + x(x + 1) – 2æ(x + 1)(x – 1) interpolates the…

A: Solution by using Newton's forward difference interpolation method .

Q: 8) Solve this problem Max z = -x1 + 8x2 Subject to: x1 + x2 >= 1 -x1 + 6x2 -0

A: NOTE: According to guideline answer of first method can be given, for other please ask in a…

Q: d Compute [(2x² + 5)(4.x –1)] at x = Со dr

A: To find: The value of  ddx2x2+54x-1at x=12. Concept used: Product rule of differentiation f·g'=f…

Q: if y3 -3ax2 +x3 =0,then prove that y2 + 2a2 x2 y-5 =0

A: Given : y^3 - 3ax^2 + x^3 = 0

Q: If y= (5x+1) (2x-1-1n7), then y’ will be (5X+1) 2/X2 +1/7 + 5( 2X -1- 1n 7)

A:

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

A:

Q: Find the discriminant of C(x)=3X^2-4X+3

A:

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

A: Group of integers modulo 5 Z5=0, 1, 2, 3, 4 Now  Z5x denotes the ring of polynomials with…

Q: If k(x)= 2e^2x then k''(2) is equal to

A: Given  k(x)=2e2x To find  k''(2)

Q: f(x) = In (8x + 2)(3r - 6)

A:

Q: Case 3: non-repeate quadratic factor (x²-x-21) Example 1: S 2x3-x2+8x-4

A: Given

Q: When p (x)=2x + kx +1 is divided by x +1, the remainder 1s the same as when q (x)=3x + kx +2 is…

A:

Q: Solve for x:  x + 5 = 9 8 +x = 1 7 + x = 16 x + 3 = 8 x - 3 = 4 5x = 20 7a = 42 3x = 12 16 - 3x = 4

A:

Q: 1)) Solve the following optimization problem. Max Z = 20x1 + 16x2 – 2xỉ – xž – (x1 + x2)² x1 + x2 <…

A:

Q: Suppose that X is a (A = e-100, p = 3e-100)-BCP. %3D What is P(X(1)X (2)X(3) = 4)?

A: Correct answer is 4.

Q: (2) Determine k such kx² – 4x +- = 0 that has real and different solutions.

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: 16. Study the stability of the trivial solution of x" + 5x" + 9x' + 5x = 0.

A:

Q: 10) x² + y² - 28x - 6y + 189 = 0 12) x² + y² - 32x+22y+376 = 0 2 14) x² + y² - 4x + 24y + 144 = 0…

A: Standard form of a circle is x-h2+y-k2 =r2,    where h, k  is the center of the circle and r is the…

Q: 3. A polynomial of degree n 21 has exactly a zero of multiplicity m is counted m times. zeros if

A: To fill in the blanks where statement is A polynomial of degree n≥1 has exactly ......... zeros if a…

Q: (2 – x³ þ»* – 3.x²y' = 0 Yı =-1

A:

Q: Compute the value of 9x2+4y2 if the xy = 6 and 3x + 2y = 12

A:

Q: 1. Examine (2x - y)15. Explaim coefficient of the x y' term.

A: Consider the binomial expansion of (ax+by) to the power n. The co-efficient of any term xpyq will be…

Q: Consider the following LP Min z = 3x, + 2.x, + 7x, s.t =10 r+ 'r - -2x, + x, – x, <-10 %3D In…

A: Max Z =   3 x1 + 2 x2 + 7 x3 subject to -   x1 +   x2       = 10 - 2 x1 +   x2 -   x3…

Q: 1. What is the coefficient of x²y5 in (2x – 3y)7?

A:

Q: (2) Determinek such kx - 4x+- =0 that has real and different solutions.

A:

Q: 7. What is the factored form of f(x) = 6x -17x+5 A fx) (3x +1)(2x-5) D. /(x) = (3x-1)(2x - 5) C.f()…

A:

Q: 15. Show that (x+ 5) is a factor of f(x) =x3 -x² -21x + 45 then factor f (x) completely.

A:

Q: 1. Show that x + 4 is a factor of x* – x3 + 3x² – 3x + 356. -

A:

Q: 9 Chapter 3.4, Problem 187E Express the rational function as a sum or difference of two simpler…

A: Concept -factorized the rational express

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.