Which of the following is the directional derivative of f(x, y) = 2xy² - x³y at the point (1, 1) in the direction that has the angle with x-axis? Select one: O 3+√3 2 O √3 2 O None of them - √3 2 O 3-√3 2 S ▸

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A: As per our guidelines we only solve one question (1st question) and rest of the question will be…

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A: answer is in next step . please give a like!!

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A: x+y=0  -----(1)x=-y x=y2+3y ------(2) for points of intersection y2+3y=-yy2+4y=0y(y+4)=0y=0,-4

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A: We have to find out derivative

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A: We can answer both the question as below.

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A: Given that , Height of silo H=30 m and radius of silo R=60 m

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A: Note : As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

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A: We need to find radius of convergence.

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A: S=(x,y)|x≥1,0≤y≤1ex

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A: To find the Taylor series for the function gx=x2e3x+1 centered at a=1.

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A: I= ∫1-2i3+i(2z+3)dzalong path x =2t+1,y=4t2-t-2z=x+iyz(t)=2t+1+i(4t2-t-2)dz=…

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A: We have the graph of f'(x) and  we need to tell where f''(x) is >0So, f''(x)>0 when f'(x) is…

Q: 1. Which of the following is the general solution of the differential equation Oy²=x² +C að

A: We will solve the differential equation.