Question 16 4 dx Evaluate Зх — 12 A - 00 B 1 00 D

Q: 1 dx

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Q: Evaluate āxb where ā = 3î – 5} and 5 = 2î + 3}

A: unit vector cross product:i^ x j^ = k^                           j^ x i^ = -k^j^ x k^ = i^…

Q: 10T cos e do =

A: We need to evaluate the definite integral. We know that integral of cosx is sinx. The solution of…

Q: Evaluate: 1 dx 2(х — 1)? 1 О а. + C 2(х-1) O b. * + C 1 2х + C 1 d. + C 2(х-1)

A: The integration of the integral is 1/[2(x-1)2].

Q: 5. (3x - 2)xdx

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Q: Let z = 1+ i, simplify and write final result as x + iy.

A: The given data is: z=-1+i To simplify z5z¯8 and write the final result as x+iy.

Q: A = 2 -2 -3 and ] = Adj A, find c [-2-5 5] OA -1 08. 13 8- Oc OD -3 T OE -5

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Q: csc² 6. 2 2 Cs dx

A: In this question we will use basic of calculus i.e concept of integration. We will simply use…

Q: enerator would best be m

A: The count represents the discrete case. Thus, we cannot use continuous case normal distribution. The…

Q: (4x-1) 5 =3 then x= 1. A. 2 О А о B О с O D В. 4 С. 1 D. -2

A: The given problem is to evaluate the given equation and find the value for x. Given equation…

Q: 28 Σ

A:

Q: 3. 2π 3 TT .b O 3. Зл .d O II

A: We use the Euler Reflection formula to find the value of the given expression.

Q: Calculate the value for ∑j=3 to 7, (3j-2)

A: To calculate: The value of ∑37(3j-2)

Q: 12

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Q: 2х + у dy 3+ 3у? — х dx 3.

A:

Q: • 4 13х + 12 -dx x2 + 3x 3

A: ∫3413x+12x2+3x-4dxApplying completion of squares:=∫3413x+12x+322-254dxSubs u =…

Q: Find the formula for dz Xx2

A: Given z=fx,y where x=est and y=s2t3 It is asked to find ∂z∂s.

Q: Calculate 8+5i/1-2i

A: Given

Q: 3(x-1) - 8 = 4(1+x) +5 27

A: We want to solve the given expression.

Q: хt — х +6 dx х3 + Зх

A: We shall use polynomial long division method to simplify our integrand.

Q: 6+ | f(x) dx = 21 and g(x) dx = 14, find (3f (x) + 5g(x)] dx.

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Q: 5x'e- dr O.r e

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Q: Determine the convergence or divergence of the following series: 25 5 3 +1 + 3 27 + 125 ... 5 25 125…

A: Given :- (25/9) +(5/3) +1+(3/5) +(9/25) +(27/125)..........  To find:- Check series converges or…

Q: of 2X+ス× 3.

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Q: -2 c4 So SO+1)dxdy

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Q: 4. Simplify av 27 О /27-За?

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Q: Q3: Evaluate the integral of f +Ty sdy

A:

Q: Simplify the following power of i: i7

A: Solving the problem by finding the value of i^37.

Q: 1 Evaluate (31-i)² dt 0

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Q: y? – a? -, y(1) = -V2 dx dy xy

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Q: Question 5: Subtract: 4x Зх x2 + 4x – 5 х? +х — 2

A: Given expression:

Q: Evaluate 8u2v3 when u=1/2 and v=3/4.

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Q: 17 Simplify the expression 6,,10 3a'y 12x y0. 3x'y A 15ry 11 B 36ry0 42,,10 c) 36x 11 D 36xyl

A: The given expression is: 12x-6y10·3x7y This expression can also be written as: 12x-6y10·3x7y=12·3…

Q: 1 I find : let A- -1 (-2 -3 4 , find A-B. B- -1 4) -3 1

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Q: Simplify the expression. 4(5x-3) OA: 9x+1

A: