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: 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: Evaluate the fraction

A: 1. Given: vu=u+8 To find: v-3t+10 Solution: We have vu=u+8 v-3t+10=-3t+10+8=-3t+10+8=-3t+18…

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: a b If p q |x y C r ZI ja+x b+y c+z 5z -r = -4, evaluate 5x 5y -P -q

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Q: If w 5x2 + 2y2, x = -3s+t, and y = s – 4t, find in terms of s and t. Provide your answer below:

A: Given:   w = 5x2 + 2y2     x = -3s + t      y = 3 - 4t

Q: Show that 2 (-r × B)² = (r² B² – (r. B)²) And, further that r² B² (r. B)² = B² (x² + y²) - If B = B₂

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Q: d given the following: Sy = u² + 6u – 2 u = 4x² + 8x +1 %3D

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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 for y=x²³√x+1. dx A. 3x² 2√x+1 C. 3√x+1 B. D. (7x+6) 2√x+1 2√x+1 √26 +1

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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: y = √√3x²-2 5x

A: y=3x2-25xformula used is d dx(ab)=b×dadx-a×dbdxb2d dx(xn)=nxn-1d dx(constant)=0

Q: For the planer curve represented by the parametric equations x = 3t and y=t² + 5, what is the…

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Q: A L R B 7. S Κ K D Given that: || MLLRB = (7x + 10) MZRSC = (8x +5) Find mLARLin degrees

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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: dx Compute√2+16 dr

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

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: can you expline this step

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Q: (z-1)²sin (dz (2-1) C:\z + 11 = 1

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Q: Which of the following equations is true for all positive values of x and y? (A) √x + √y = √√x + y…

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Q: Find the GCF and LCM for the following terms: 15xty, 24xy, 3x3. O LCM: 120x y GCF: 3x3 O LCM: 6y2…

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Q: 2. Evaluate S 3e +9x2 dx. √√x3e-5 finish early, YOU MUST U

A: Let,u=x³+ex-5 Taking first derivative of u with respect to x,dxdu​=dxd(x3+ex−5)​…