Find the equation of tangent plane to the surface z = ln (3x²) + 2y at A (1,0, In (3)).

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A: Let's find.

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A: To find the solution of the given differential equation.

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Q: if any. Find the absolute extremum point (s) of f(x) = el-cos on [-],

A: f(x)=e1-cos xf'(x)=e1-cos x ddx(1-cos x)f'(x)==e1-cos x (sin x)f'(x)=0e1-cos x (sin x)=0e1-cos x ≠0…

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Q: 3. Fxz²i + (1 − 3xy)j + yzk, - A. xyi + 2yzj - 3yk B. zi + 2xzj - 3yk VXF=

A: Given vector field F=xz2 i+(1-3xy)j+yz k

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A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

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A: Given integral is ∫-212∫y1-ydxdyx limits are x=yx=1-yy limits are y=-2y=12By inversing limitsy…

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A: This question is related to straight lines, we will solve it using given information.

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A: given  as you have already found Tangent vector

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A: See the details solution in below

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Q: II. Find dz Do not simplify your answers. 1. log,(√2x² + y) + tan(x − ³) = sin¹(x² - 1) +

A: We can solve this as follows:

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A: Given :

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Q: a. (7+7i)(i + 1) UNA 7+7i i+1 C. (727°) (121°) e b.

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Q: Let f(x) = 3x + 6 x + 7 Find: 1) the domain in interval notation Note: Use -00 foroo, oo for oo, U…

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