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.

Q: Let a = - 2ỉ - 4j – k and b = 4j + 2k. Find — ả + b. V

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Q: Find n and sn  If a = 5 , d = 3 , an= 50

A: Given data: The first term of an A.P is a=5. The common difference is d=3. The number of term in A.P…

Q: Find n and sn  If a = 5 , d = 3 , an= 50

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Q: If A={3,4,5}   B={a,b,c}. Find B X A.

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

Q: Find mA

A: The angle subtended by an arc at the center is twice the angle subtended at the circumference. More…

Q: Find å · b for å = (4,1, →) and b = (6,–3,–8).

A: Topic:- dot product of vectors

Q: Wathe. Is 1+1

A: The objective is to find the value for 1+1. Let's take the required value as x. To find the required…

Q: Ifv = [ -2, 4], compute and draw 2v, 1/2 v, and -2v.

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Q: 4. Swin (w - 2) dw

A: The given integral is: I=∫wlnw-2dw   Apply the integration by parts to solve the above integral.…

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 A. 2 3 (24)-1 -4 2 A =

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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

Q: Find B so that AB = 1 = BA, where A = 3 4 5 7

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Q: 1.

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Q: Simplify. 3 4 (ر2) )xy-) 2y²z

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Q: Зх + 9 6x P R

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

Q: B. 120 + g 139 M.

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Q: lAcOs3x+B sin sx) この

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

Q: The order of (3, 4) in Z4 × Z10 is  a. 4 b. 12 c. 40 d. 5 e. 20

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…

Q: Find uxv

A: Given: u=-12;    v=31Note: if u=(A)2×1 ,…

Q: Let ā = (3, −7, 6) and b = (4, 4, 8). b) b) x (a + b) a

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

Q: Let á = (–1, 0, 1), b = (0, 3, − 1) and ₹ = (1, 2, —2). a. Find à x b. b. Find (a + b) x č. c. Find…

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: Find the converse of q p.

A: q⇒p means "if q, then p"The converse of it will be " if p, then q"which has been symbollically…

Q: Let A = { 1, 2, 3, 4 } and B = { 4, 6, 8, 10 }. Find A x 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: Given that A=6-j1 and B=2+j3, find A*B

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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: А - (BUC) %3

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Q: Find A³ if A = {c, d}.

A: Cartesian product of c, d and c, d isc, c, c, d, d, c, d, d Further,           c, d× c, c, c, d, d,…

Q: Find et, where A = 5 3 -3 -1

A: Given That : Matrix A=5-33-1. To Find : eAt

Q: Let a = and b = . Find - à - b.

A: Given :a→=5, -5, -1b→=-4, 4, 0

Q: Let ā (3, 5, - 4) and 6 = (1, 4, 3). (à − b ) × ( ã + b) =

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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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Q: 4. Find (402-25)de

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