Evaluate f (x - y)(y – z) dV for the box B with dimension: [0, 5] × [0, 1] × [0, 1]. (Use symbolic notation and fractions where needed.) Ø1₂x (x - y)(y-z) dV = B

Q: Find the GCF and LCM for the following terms: 27xty>z°, 6x°y®z³, 4yz.

A:

Q: Let a = 6 and b = 6 What is the coefficient of x6y6 in (x + y)a+b?

A: This is a question of counting. One needs to find the coefficient in this fi ite expansion.

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A: The given figure is -  We have to find the value of 'x'.

Q: (Vx – 1)5

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A: To evaluate the following integral.∫x4 dxx2+92

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A:

Q: Let F = (, , 2). Calculate div (F) and curl (F). (Use symbolic notation and fractions where needed.)…

A: We have to calculate  and .

Q: 1 Evaluate dz, where (i) C is z+ = 2 .2 +1 C

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Q: Vx² + 4x – 5 dr. A secant substitution Evaluate x + 2

A: Consider the following definite integral: ∫14x2+4x-5x+2dx=∫14x2+4x+4-9x+2dx=∫14x+22-9x+2dx…

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A: Given: A=1-123 We are required to find: 3A3-2A2+5A-I2

Q: Evaluate √²+√2+1 dz. T3/2

A:

Q: S 2sin(4x +9)dx

A: Given query is to find the integral ∫ 2 sin(4x+9)dx.

Q: x2-y2 x2-2xy+y2 (x+y)2 (x-y)2

A: The given expression is  x2-y2x2-2xy+y2·x-y2x+y2 we know,    x-y2=x-yx-y=x2-xy-yx+y2=x2-2xy+y2…

Q: USE SYNTHETIC DIVISION 16 x4 17 x2 2x - 6 ÷ x – 2 -

A: Solving the problem by finding the results.

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A: The solution is as

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A: Given : Integral (x-3) √(x+3)

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A:

Q: (b). Apply the indicated operator A2(x3 + 6x2 + 2x).|

A: Given term is  ∆2x3+6x2+2x

Q: а. (4D + 1)(D — : с. (D — х)(D + х)

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: L{t(u0 – u1) + t²u1}.

A:

Q: Evaluate dxdy √√3x + 4y over the rectangle [0,3] × [0,4].

A: We find required integral by using Fubinis method.

Q: ' EVALUATE (a) lem x² I メ→ 43×キ3x+1」 メナー* ×43x43x+1 (C) lem x2i 7ー ×+」

A: Given: (a) limx→-1- x2-1x3+3x2+3x+1(b) limx→-1+ x2-1x3+3x2+3x+1(c) limx→-1 x2-1x3+3x2+3x+1  To find:…

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Q: 12x +1 dx. (2x- 1)2 (3x+2)? Evaluate: 1 (A (2x- 1)2 (3x +2)² +C B (2x- 1)3 (3x + 2)3 3 + C ⓒ In…

A:

Q: evaluate SSD (1+4x34y²) ½ dA where O is the bottom half of x²+4² = 16

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 1. Expand the brackets a. X(x+2) b. X2(x+x2) c. 3x(x-y) d. 4x2(2-3x) e. X3(1+2x -x2) f.…

A: We can solve this by properties of power of polynomials xm*xn = xm+n

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A: This question is taken from Indefinite integral in which we have to find the integral value of the…

Q: Evaluate az+1)in(d.r+1)dr. 1 dx.

A: The integration function is ∫14x+1ln4x+1dx

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A:

Q: Express in the form (a+bj): (4+7j)-j) (2–5 3.1 3.2 e

A: The complex numbers are usually represented in the form of z=a+bj , where, a is the real part and b…

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A: Given :y=12xx2-16-8lnx+x2-16

Q: Evaluate: a) J 5x8+4x7+x6+7x²+3x-15 dx (x²-4)(5-6x)(x2+2x)

A: We use method of partial fraction to solve this integral. If degree in the numerator is more than…