Evaluate CurlF-nds F(x,y,z)=xi+yj + zk, and S: z=√√x² + y²₁ z≤2 and n is outward. S

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

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Q: √(√3+)dx Select one: OA. OB. OC. OD. ³/2-² + 4x¹/2 + G ³/2² + 4x¹/2 + G ³/2² + 4x¹/2 - ³/2x² + с +…

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Q: Find x, y, mZD and mZP. 13y+4 2x 580 2y+16

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Q: abc and dbf are vertical angels, with m abc=4x and m dbf= 96x-12)

A: Here we find the abc and dbf are vertical angels.

Q: Find 3xe Select one: O a. O b. da. Hint: use substitution. (e-1) (1-√e) (1-e¹) ○ c. O d. (1-e)

A: ∫xndx=xn+1n+1+clet x2=t2xdx=dtwhen x=0, t=0when x=1,t=1

Q: Find (F-a) and indicate the domain of the quotient FW)=x+4 änd qx) = x*+3x -4

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Q: Evaluate √x² + y2dA, where D is the domain in Figure 4 R G FIGURE 4 ₂√x² + y²dA= F: x² + y² = 64 G:…

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Q: Q1) Find dx for: 2 - (x? + y)? + (x - y?)? = x +y3

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Q: y = √2+7tanz

A: y=2+7tan⁡x

Q: C. (I +3A)−¹ = 2 1 0 -1

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Q: Simplify, then evaluate when x = -2 and y = 3. (2x²y1)3 x 3x5y a) x'(6y-3)2 b) 3x X xy0 2.

A: Given expression,        2x2y-13×3x5yx76y-32

Q: Find(rr) r d d/ (1₁•1₂) if x = ( 2 ₁ √ ². e²¹ ) and r₂ = (7, In (2),1).

A: Solve the following

Q: 3x Calculate: dx (x² + 2)² 3 а) + C 4 (x² + 2)² 3 + C x² + 2 b) 3 c) +C 4x2 + 8 3 + C 2x2 + 4 d) 1…

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Q: b) Suppose x # 2. Find dif dx In y = In (x - 2)² √x² +1

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Q: Q4 Determine i) S Inßx x²dx Sax+8 ii) çdx x²+4x4B

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Q: Evaluate √²+√2+1 dz. T3/2

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Q: (8) To evaluate f √√x²-49 x -.dx we substitute x = A)7 sec8 B) 7sine C) 7tane D) 7cose

A: We need to fin the substitution for 'x' to evaluate the integral: ∫x2-49xdx

Q: If f₁² x√4-x²dx = ²√udu. Find a and b

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Q: Let g(x) = ax2 + bx + c. Evaluate _o( - b + √b² - 4ac). 2a a(=b+ -b+√√b² - 4ac 2a -

A: Given that,

Q: (2+2x) e4+2² dæ her tonic

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Q: 1. S(√t -√√² + √√³) dt

A: solution ) ∫ ( t - t2 3 +t35 ) dt = ∫ ( t1/2 - t2/3 + t3/5 ) dt  we know that  ∫xn = xn+1/n+1  = (…

Q: Q1: Determine if a +b+c+d=10 where a, b, c, d ER are such that: 6x³+3x²-5 -1 2a x-l + 3b x+1 + cz…

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Q: en: y = u² - 2u¹ and u = x + √x. Find when x = 9.

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

A: We find required integral by using Fubinis method.

Q: Find and draw the domain of m (x, y) = √x-y+√x+y.

A: For a function: z=f(x, y), the set of real values of x, y for which f(x, y) is defined is called the…

Q: 2√√/2x-x2 S S 0 0 5√x² + y²dydx

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