If the slope of one of the pairs of lines represented by equation a³x² + 2xy + b³y² = 0 is square of the other, then prove that ab (a + b) = -2h.

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Q: If the roots of the equation x - 8x + a² - 6a = distinct, then find all possible values of a.

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Q: If ab + bc+ca=0, then solve a(b-2c)x² + b(c-2a)x+c (a-2b) = 0

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Q: 2. Find the value of each variable a, b, c, d, e, and f using Cramer's rule. 2ab + 3c + 4d +9e + 8f…

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Q: If the slope of one of the pairs of lines represented by equation a³x² + 2hxy + b³y² = 0 is square…

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Q: Question 10 "Given the probability of event G is 1 of 2, the probability of event H is 2 of 3, the…

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Q: Is this a possible way to show that f(x) = arctan(2(x-1)) - lnIxI has exactly four real roots?

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Q: If the roots of the equation a(b-c)x² + b(c-a)x+ c(a - b) = 0 - are equal, show that 2/b = 1/a +…

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Q: Exponential and logarithms: The mathematical quantities e², Inz, and log z are calculated with…

A: (1)  exp(1)^3  ans =    20.0855   (2) ln(e3)=3ln(e)=3 (becuase ln(e)=1, and ln(b)a=aln(b) by…

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A: As per guidelines, I can do only first question (with all subparts)

Q: 8. Diagonalisation Consider the matrix A= 9 -6 -12] -13 -24 11 -2 ܚܪ ܝ 6 i. Determine the…

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Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to…

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Q: Compute the surface integral over the given oriented surface: F = y²i+6jxk, portion of the plane x +…

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Q: 1. A set of integers are relatively prime to each other if there is no integer greater than 1 that…

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Q: Use the rhombohedral/trigonal metric tensor to show that the relations between the hexagonal (a, c)…

A: Given: ar=a33+ca2 cosα=1-92ca2+6   To show: a=ar2-2cosα c=ar3+6cosα

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Q: d) (p→q)^(p →r) e) (p→q) v (q + r) f) (¬p →¬q) → (q + r)

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Q: Find a quadratic equation whose product of roots x, and x₂ is X₁ X₂ equal to 4 and satisfying the…

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Q: Find the degree of the splitting field of x^2-3 over Q.

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Q: Pivot the matrix about the circled element. 554 14 -1 5 (2) 2 1021

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Q: A recording company is to release 90 new CDs in the categories of​ rock, country,​ jazz, and…

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Q: 33. Given the function, defined in the range [0, 1], find the function P(x) defined in the range…

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Q: a) Construct a divided difference table for the ab data. b) Use the table presented in Part a),…

A: Given data is Time xi 0 1 2 3 4 Value yi=fxi 500000 375000 281250 210938 158203

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Q: If [x² - 2x + a] = 0 has no solution, then find the values of a

A: We have x2-2x+a=0⇒x2-2x+a∈[0, 1) Given that equation has no solution ⇒x2-2x+a∉[0, 1)

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Q: Verify that if c is a constant, then the function defined piecewise by if x <c, y(x) = {cos(x – c)…

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Q: QUESTION THREE A. A company manufactures three goods, X; Y and Z, each of which is made from three…

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Q: 1. Integrate the following linear first-order partial differential equation х ди у ди ди м дх L dy…

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Q: Determine if the set is the empty set. {x|XEN and 7 <x< 14} Choose the correct answer below. O The…

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