Plot the following functions over the defined domain. Range is at all values of y 1 b. f(x) = xe-*, g(x) =; -1

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A: Given:    Centroid of the colored figure x,yWhere,x =MyM      &       y =MxMMy = ∫02xfx-yxdx…

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Q: In how many different ways can 7 potted plants be arranged in a row with 5 spaces? O 720 O 2 520 5…

A: There are total 7 potted plantsThere are 5 spaces in a rowNumber of ways  to arrange 7 potted plants…

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A: Given;  w=x tan(y+z), (3,7,-3).

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A: The formula for the curvature is κ(t) = r't×r''tr't3

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A: Solution is given below:

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Q: 1. When finding the anti-derivative of a function, what is the rationale behind hav- ing a +C ?

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A: u=i+j+kv=2i+j-ku×v=ijk11121-1u×v=i(-1-1)-j(-1-2)+k(1-2)u×v=-i-3j-ku×v=-i-3j-k

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A: For a given vector fx, y, z the gradient vector denoted by ∇f is ∂ ∂ xf∂ ∂ yf∂ ∂ zf So, ∇w=∂ ∂…

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Q: Revolution

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A: We will use formula for derivative of u/v and given formula to solve as follows

Q: that has i +j and i – 18j as adjacent sides. NOTE: Enter the exact answers. ||d||= 19 ||d||=|17.12

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