Use a comparison test to determine whether or not the integral converges: ·∞ 2x+3 (a) dx (b) √6-1 */2 sin(x) √T 1.² dx

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Q: either of the answer is incorrect.

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A: We use the properties of matrices to find the values of x and y.

Q: Ā = ë, + 3ë, – 2ẽ, -B*=? B = 4ẽ, – ë, Ĉ = -3ẽz– 5ẽ,

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Q: Let ā = (2, 3, – 2) and b = (4, 2, – 2). - Find a · 6.

A: The dot product of two vectors is calculated as follows: a→·b→=xi^+yj^+zk^·ai^+bj^+ck^=ax+by+cz

Q: Let u = 4u + 5v (9, -2, -8) and v = (4, −3, −1).

A: The required solution is:<56,-23,-37>Explanation:

Q: Determine an equation for the following functions

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the…

Q: c. Show that(cscx) -1 xVx2-1

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Q: tim D1R (++)) + om 1 Im te i ned d

A: limn→∞((n1+n)α+sin(1n)),foralln∈Qnow ,We recall some…

Q: Expand completely. (3z 1) ar + ba + cr+ da² + ex + ƒ %3D d = and f=

A: Given 3x-15=ax5+bx4+cx3+dx2+ex+f To do  Find the value of a, b, c ,d ,e and f in the expansion

Q: You should get x = ab /a+ b. T

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

Q: Calculate the result for the following, where A = True, B = False, C = True and D = True %3D F = NOT…

A: Given A=True NOT A = False B=True NOT A AND B = False AND True = False C = True

Q: Find the value of X and Y in given that; 1 - 2y 4 7 2 2 - 2x 4 - 5 I3D 3. 2.

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Q: Let å = (– 1, – 2, 1) and b = (4, 2, 1). Find å x b. V

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Q: Find x if BC=1,AC=x+5 and AB=2x-2

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Q: where is the res

A: We can find rest parts .

Q: (D+30+3 (0+30+2)) -2)y ex %3D

A: The given differential equation is: D2+3D+2y=e-xx where D=ddx is the differential operator.

Q: 5 G-45 + VE - 2)at

A: We have to find integral of the given function, here we use formula for integrating the polynomials.

Q: 4x — 2m = 3m- h , then in terms of x and h , m =

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Q: If = , where b + 0 and d # 0, then a · d = b•c.

A: Given: ab=cd, b≠0, d≠0 For prove given expression, we do cross multiplication and simplify it as…

Q: Show that 1 -2 = R³. span 3 1

A: In R^3 if three vectors are linearly independent then they span the whole space R^3.

Q: If a = (2, -1, 3) and b = (2, 2, 1), find the following. a x b = b x a =

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Q: -2 1 21 = a 3 +b -3 -22

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Q: How did we find that variables x and y are independent?

A: Solution

Q: Find

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Q: (2, –1, 3) and b (-3, 3, 4). Calculate 2a – 3b and |a – b|. Clearly separate the Let a calculations.

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