5 Let f(x) = 5x + 3x²³² + 1 and g(x)=3x²+2x+1 in 27 [X]. Determine the quotient and upon remainder dividing f(x) by g(x).

Q: (2) Write an expression to represent the area of the triangle: 2y²-2y 3 3y-30 4y² A) (-10)(y-1) B)…

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Q: x + 2y +32 = -1 - 2 + 5y +7z=5 +3₂ = 5 32 4y 2. X+Y-2=3 Sx - 2y + 2 = 8 x + 3y + 4z = 5 1.

A: To find the solution of the linear equations (1) x+2y+3z=−1   ...(a) −z+5y+7z=5 ⇒5y+6z =5…

Q: If ae R, solve the following equation: x+ a² = √a-x.

A: To solve: x+a3 = a-x3 Take cube of both sides  x+a33 = a-x

Q: Electrical power = 1²R [I= 4.0 x 10-8 A, F

A: On solving this we will get

Q: For matrix A = [8 -19 16], AAT is

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Q: Consider the equation: 8*-3 = 16*+3 a) Solve this equation algebraically using logarithms. b) Solve…

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Q: licatio Write an expression to represent the area of the rectangle 36-x² 4x+6 1 10x³ +15x² 5x³-30x²…

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Q: The coordinate B (2, 30°, 3) is _____ in RCS. B (1.7321, 1, 3) B (1,1.7321, 3) B (0.3085,-1.9761, 3)

A: Topic:- co-ordinate system

Q: (b) For each augmented matrix determine how many solution the associated system of linear equations…

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Q: 2. A = 4 0 0 0 -2 0 0 0 -3

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Q: 7. Write the equation of the ellipse with a minor axis length of 8 units and foci at (-7, 4) and…

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Q: Q₁: (A) Let R=(Z12, +12-12). 1. Find all maximal ideals of R. 2. Evaluate char. (R). 3. Is R a…

A: Please see the below picture for detailed solution.

Q: (c) Find the vector equation of the line of intersection of the planes x-2y+z=0 and x+y=z= 1.

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Q: 23. x+y+z=14 2y + 3z=-14 -16y-24z=-112

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Q: k b) The diagram shows the graph of f(x)=- x-B -15 -10 (i) determine the values of B, and C (ii)…

A: Given problem:-

Q: What is the solution to x² - 9x 8 Ox1 01<x<8 0-8<x< 1

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Q: The number N of bacteria present in a culture at time t (in hours) obeys the model N(t) = 1000e0.01t…

A: Find out the time (in hours) when the bacteria reach 1700.

Q: fin y" given that x^2 - xy + y^2 =3

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Q: --2- 0 2 -2 Cursor to interact with graph y statements I and III are true. ly statements I, II, and…

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Q: 4 Given the area below, write an expression to represent the base of the rectangle: 1 +1 A=d-²-₁ A)…

A: topic- linear expressions

Q: 1 A) B) C) Write an expression to represent the area of the trapezoid k+3 3 3k +1 3 the North Pole…

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Q: Discount

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Q: QUESTION 7 En el triángulo ABC, ZA=105°, ZB=30° y b=25 pulgadas. La medida de c redondeado al entero…

A: Given

Q: What is the end behavior of y as x goes to negative infinity in the equation y = -4x5 + 4x² - 8? y…

A: option D Find y, When x tends to infinity

Q: Solve the compound inequality. 3x +2>2x-4>X-14

A: a&lt;x&lt;b is equivalent to a&lt;x  and  x&lt;b.

Q: 11. True or False. sinh²x = - -+cosh (2x) O a. False. Correct answer is +cosh (4x) O b. False.…

A: topic- trigonometric identities

Q: Evaluate the following functions: 8. f(x) = 14x²-11x-12, find f(-6) 9. f(x) = 15x-12, find f(15) 10.…

A: " According to the guidelines issued by the company we are supposed to answer only first three…

Q: Simplify. Your answer should contain only positive exponents. 1) 3n² 2x*y 6x y*. 2xy 2) 3m²n. 4m n…

A: As per the instruction, we will be answering only the first question. For (1),      -2x6y56x6y4·…

Q: The subgroup {e} is called the nontrivial, that is, a subgroup that is not e is nontrivial.…

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Q: Let R be a commutative ring with identity and I be a maximal ideal of R. Then the quotient ring R/I…

A: Given

Q: For An: ✓ Div C Sol Sol TOO +18c+81 c2-6c+9 p²--3p+2 Sig Il Mo X 25 J. MA snt

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Q: Find two numbers whose sum is 78 and whose product is as large as possible. [Hint: Let x and 78-x be…

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Q: A) |2x² + 5x + 1 = 1 B) 12/1 x-1 x+1 C) 5x + | ≥ 1

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Q: The maximal ideal of ZxZ is

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Q: Consider a triangle ABC like the one below. Suppose that a = 66, b=57, and c= 33. (The figure is not…

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Q: Find the value of the follo K a) ¾ × 2 / - % d) 12×7/2 e

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Q: Provide an augmented matrix of a system of linear equations having exactly the following solution:…

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Q: 7. Find the value of cosh (In3) O a. 3 5 O b. 5 O c. 5 3 O d. 3

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Q: For each sequence, determine whether it appears to be geometric. If it does, find the common ratio.…

A: Given problem:- For each sequence, determine whether it appears to be geometric. If it does, find…

Q: Given

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Q: 13 It is estimated 28% of all adults In United States invest in stocks and that 88% of U.S. adults…

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Q: The in a finite set written in disjoint cycle form is the least common multiple of the lengths of…

A: Answer is order of permutation

Q: Evaluate the following indefinite integrals. You do not need to simplify your answers. i. SG. +…

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Q: The diagram shows the graph of f(x) = k(x-m)(x-n)(x-r). 30 (-2, 16) 20

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Q: ne tool used to study refraction is a glass or acrylic prism. Two of the prisms more commonly used…

A: Note:- since you ask multiple question as per our policy we can first question for you  Here…

Q: c) Write down a quadratic equation that does not have a real solution. Explain your answer.

A: Solution is here

Q: James, Cierra, and Lamont went shopping together. One of them bought a shirt, another bought…

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Q: 5 B) C) D) Write an expression to represent the perimeter of the triangle: p-3 1 p-9 P+2 3p+17…

A: The given triangle is

Q: 19. Determine the derivative of f(x) = e* coshx. O a. e2x O b. ex O c. e4x O d. e5x

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Q: 1. Explain the steps in verifying that the following equation is an identity. cos x sec x + tan x =…

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