Under the usual operations in R², which of the following subsets is a sub (~) (b) ³) {(₁) | √ = ²x + 1} y 2x Y {(~)|v=20} 2x (c) › {() * - ~² +₁} (d) +) {(~)|--²¹} y =

Q: d = V(22 – a1)° + (42 – Y1)² %3D - - (8, -3) and (-5, 6)

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Q: Find the antiderivtive: /102³-52² +7 x6 -dx = + C

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: If 1/(x+5) = 4, what is 1/(x+6) ?

A:

Q: Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The…

A: Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The…

Q: Find /( - 32² + 02 - 3³ + √²) dz 6 3x6 x6

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Q: (2x* + 5x3 + 5x? + 10х + 8) + (x +2)

A:

Q: (x³ - 2y*)(x³ + 2y*) (x6 + 4y®) |

A: Solving the problem by special products.

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

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Q: x² +25 D)+ Xx Evaluate the following integral f (6) A) 4 Inx-21-In/x+31+ C C) 4 Inx-31-In/x+21+ C…

A: We use partial fractions to solve the given integral.

Q: what is the coefficient of x^4 in (2x+1)^5

A: 2x+15 Comparing with a+bn, we get a=2x,  b=1  &  n=5

Q: If f (x) = 3x ^ 4 + 5x ^ 3 + x ^ 2-2 then write f (x) as the product of irreducible terms of Q

A: We have to express f(x) as the product of irreducible terms of Q.

Q: 12) x+(6x + 5)___dx √√x6 + x³ + 5 S

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Q: 2 fax) = 2 + 3x-xª for f(x+1)

A:

Q: (5) The form of the partial fraction decomposition of f(x) B C A) С + x-2 B x² +25 CX+F x²+25 C)+…

A: To determine the form of the partial fraction decomposition  of fx=11x4-2x3-4x2+5xx-2x2+252. Note:…

Q: Answer True or False

A: In the given question we have to check whether the following identity is true or false

Q: Suppose [V] B₁ [V] B₂ = 7 1 3 -[-]-* *, - {{; } [³])} and B₂ - {[²][³])}; [ 2 ] = find B₂ = If B₁ =…

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Q: Be f(x) = 3x^2+7x-2, g(x) = 4x^2-x+1 and h(x) = x^3+x^2-2 determines:

A:

Q: Divide the polynomials using synth (2x^(3)-22x^(2)+57x-7)-:(x-7)

A: Given  polynomial , 2x3-22x2+57x-7 Divide by x-7

Q: Consider x = 3x1 – 2x2, x, = 2x1 – 2x2, with x (0) = 3, x2 (0) = ;. b If x1 ge + e-, find the values…

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Q: Where does (x-3)/(x^2 -6x+9) have a removable discontinuity?

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Q: 1. Differentiate. Do not simplify. I b) g(x) = (7x3 – 3x² + x)(1+ 4x²) a) y = Vx4 -5x+1 d) g(x) =…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Express as a polynomial.

A: Express as a polynomial.         9p4q3-6p2q4+5p3q23p2q2

Q: Which of the following is not a possible zero of f(x)=4x^5-2x^3+10? 3,5,5/2,3/2 , why?

A:

Q: If m^3 divides v^2, then m divides v

A: Let, m3 divides v2        now, m2 divides m3 and m3 divides v2        => m2 divides v2…

Q: Find the coefficent of x^6 in the following: (1 + 2x + 4x^2 + 8x^3 + ...)(3x^2 + 3x^4 + 3x^6 +…

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Q: /- dr r(r + 10r + 25)

A:

Q: Exercise 1. A student is asked to prove If m is even and n is odd, then m² + n² is odd. 2 The…

A: Let us answer above questions

Q: (6y² - 3y-8y')-(3y - 2y-5y') Зу

A:

Q: The rule of f is to divide the product of the input and 14 by two, then subtract seven halves. * 1…

A: Given  The rule of f is to divide the product of the input and 14 by two, then subtract seven…

Q: Find the quotient and the remainder when  2x^4+3x^3+x+1 is divided by 3x^2+1 in Z5[x].

A: We have to find the quotient and remainder when 2x4+3x3+x+1 is divided by 3x2+1 in ℤ5x

Q: Which of the following is a factor of the cubic expression x'-2r -5x+6? (1) x+1 (3) x-3 (2) x-2 (4)…

A: (x-3) is the factor of given equation.