Find the mass of a thin wire lying along the curve r(t) = √√5ti + √5tj + (7-t²) k, 0≤t≤ 1, if the density is (a) 8 = 3t and (b) 8 = 1.

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A: Explanation of the solution is given below...

Q: 2. Find AB, where -1 4043-690 B = 1 -2 5 = [ A = 2 2 -1 -5 1 -2 1 2

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Q: Find X ,Y and Z

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Q: Let à = (2, 3, 4) and b = ( − 2, 0, — 5). Find à x 6.

A: A detailed solution is given below

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A: AAS criteria: If two angles and an opposite side of one triangle are congruent to the two angles and…

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A: Given solution with condition is  yx=exAcos3x+Bsin3xy(0)=0y'(0)=1

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A: The objective is to find the order of 3,4 in Z4×Z10 First find the order of 3 in Z4, then find the…

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A: NOTE: Refresh your page if you can't see any equations. . given vectors are

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A: NOTE: Refresh your page if you can't see any equations. . here we have . find the determinant

Q: If A=(7,8) and B=(2,4,6) find A x B

A: Explanation of the answer is as follows

Q: If z 2 = Rep, then write za+iß as Ae B

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Q: If a = (2, -1, 4) and b = (8, 2, 1), find the following. a × b = -9,30,12 X bx a = -9,- 30, - 12

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Q: Find the value of a, b, and c if (a+b)(a+b+c)=21, (a+c)(a+b+c)=35, and (b+c)(a+b+c)=42.

A: First we need to make some equations and the we have to simplify them in order to get a, b and c.

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: If a = (3, –3, –10) and b = (-8, –4, –10) find a · b =

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Q: Let a = (1, 3, 8) and b = (7, 3, 4). Compute 5a + 7b

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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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