For what values of h and k is h+2x , 15 x52 -2 < x<-1 2< * 2 - Continuous at every x ? 2x2 - 2x-4, 2+ kx2

Q: 2 2 2- lim √√x²+4x-√x²+5 X-X

A: To find the limit as ( x ) approaches infinity for the expression (x2+4x​−x2+5​), we can simplify it…

Q: Consider the following. f(x) = x4 − x3 − 12x2   b) Determine whether the multiplicity of each zero…

A: f(x)=x4-x3-12x2

Q: Which of the positive integers coming from the set{1, 2, 3, 4} are upper bounds for the zeros of the…

A: The given polynomial is Px=x4-4x2-3

Q: Show that the multiplicity of (x-1) is 1.

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Q: Find the limits そ→+00 5x²+7 3x2-X

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Q: rmine all the zeros of f(x) = 3x121 + 5x64 – 2x54 +x44 in Z7[x]. (Hint: Use Ferma |3D

A: In this question, the concept of the Fermat Little Theorem is applied. Fermat Little Theorem…

Q: 5x+h over 5x+h+3 minus 5x over 5x+3, all over h. This is a difference quotient problem in…

A: LCD of the numerator is (5x+5h+3)(5x+3).We make both denominators same then subtract the rational…

Q: - Let f(x) = -1+x + 2x² – 2x³ – x* + x5. Which of the following statements is true?

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Q: 4. which polynomial is accurate x = [2; 2.75; 4]; y = [0.5; 1/2.75; 0.25]] 0.0455 x² 0.1039x² -…

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Q: Give all of the zeros of P(x)=x^2+4 as a comma separated list.

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Q: \/(r2 – 6r + 9)    a. Defined for all reals.              b.      r 3   c. r -3…

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Q: Indicate the least integer n for which (3x6 + 2x2)(x3 + 3x) is O(xn).

A: Solution:-

Q: Show that Q[x]/⟨x 2 − 2⟩ ≅ Q[x]/⟨x 2 + 4x + 2⟩.

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Q: If U = {1, 3, 5, 7, 9, 11, 13), then which of the following are subsets of U. pick two three {5, 11,…

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Q: If p = 4x³ + x² + 2x + 5 and          q = 6x³ + 3x² + x + 2  Find ||p||  and ||q||

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Q: a. The remainder of P(x) = 2x' +mx? –7 when it is divided by x+2 is 6 greater than when it is…

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Q: Suppose X₁ ~ N(6, 1) and X₂ ~ N(7,2), and X₁ is independent of X₂. Find P(X₁ < X₂) and P(X₁ < X₂ +…

A: We know linear combination of normal distribution is also a normal distribution. Therefore any…

Q: How many zeros (solutions) does the following quadratic relation have? f(x) = x² + 2x + 2

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Q: Fend all Pntegers x such that 244x=1 (mad 29) Sメ=3 (med 8) and Is0○ 小 × 小2000

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Q: 1. (6x' + 2x2 + 3x- 1) + (2x- 5) 2. (3x-6x2 + x-5) + (3x-4) 3. (3x + 3x? + 6x - 2) + (3x – 2) 4. (2x…

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Q: termine k such kx2  _ 4x + 1/2 + 0 that has real and different solution

A: To determine the value of k such that the below equation has real and different solutions.…

Q: 11. Summarize the Intermediate Value Theorem for Polynomials in your own words.

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Q: Find the equatians of the haranntal and vertical Reymptotes for the functien 2x -7x- 30 (x) - 20-

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Exercise: min(x1 – 3)² + (x2 – 2)² X1 – x2 < 0 St{x1 + x2 < 6 X1, X2 2 0

A: Let's find.

Q: 2+ 3x (7x – 1)²(x – 8)

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Q: Show that x19 + x8 + 1 has multiple zeros in some extension of Z3.

A: To Show :x19+x8+1 has multiple zeroes in some extension of Z3.