II. Evaluate WRE 1 √R (x + y)³ dA, where R is the rectangle [0, 2] × [1,3].

Q: (a) √|2|=3 (2²+1)2dz. (b) S₁2=22(2²1) dz. z³(z−1)

A:

Q: 3. For the function g(x) = x³ – 2x? – 11x + 12, use long division to determine whether each of the…

A: we devide the polynomial by given factor and if we get remainder zero then this given factor is…

Q: Differentiate y with respect to x given y = √x(2+bx³) 7bx3+2 2√x 0 36х 2 6bx+2 Vx 6b5x+1 2

A:

Q: Calculate Answer: J[₂ ye -xy dA, where R = [0, 7] × [0, 6].

A:

Q: Evaluate SA=_dx where A = x ² + 8x-3 and B=x²+3x²

A: To evaluate the following integral.

Q: 8. Evaluate (a) J₁2-2 22+2+d; (b) J₁2-22²-22-3dz

A:

Q: find x, y € Z such that 2261x + 1275y = gcd(2261,1275).

A: we want to find the greatest common factor  we will use Euclid's algorithm 2261=1275×1+986 -----1)…

Q: Divide. 5y6 – 10y* – 15y³ – 20 5y2 5a – a? – 12 – (–4a³) a?

A: We have to divide 5y6-10y4-15y3-205y2 5a3-a2-12--4a3a2

Q: 1. [Easy] Consider the 2 x 2 square [-1, 1] × [-1,1]. Evaluate: 2x2 square Why should the answer be…

A:

Q: 2) y=x' – 9x² + 24x – 18; [2, 4] -

A: let y=f(x) f(x)= x3-9x2+24x-18, [2,4] using rational roots tests: x could be :±1,±2,±3,±6,±9,±18 If…

Q: Calculate the triple product ā · (b x c), where ā =,b=, and č=.

A: Given vectors  a→=2 , -4 , 1b→=0 , 3 , -1c→=5 , -3 , 3

Q: -dx. (3x² + 1)ª Evaluate -1 +C OA. 18(3x² + 1)³ O B, In(3x2 + 1)ª) +C 1 OC. + C 18(3x² + 1)³ x2 +C…

A: Given- ∫x3x2+14 To find- The value of the integral

Q: If g(x, y) = √√3xy - 7x, find gx and gy. 9x = gy =

A: partial derivatives

Q: Calculate the LOS of y = x² + 2x + 8 LOS is x = a is b is cis

A:

Q: can you expline this step

A:

Q: Find √ √ (4x + 5y)dA where D = {(x, y) | x² + y² ≤ 9, x ≥ 0}

A:

Q: -√2/2 x² √1-x² Evaluate √²/2 dx. Show the details!

A:

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

A: We find required integral by using Fubinis method.