F. Directional Directive Find Duf (x, y, z) at (2,–1,0) in the direction of the unit vector U parallel to the vector < 1, –4,2 > where f (x,y, z) = 4x – y?e*z.

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A: Given: X~N(50,10)

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A: Given problem:-

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A: solution:-f(x)=x3/7(a)y=f(x)=x3/7x=y7/3hence,f-1(x)=x7/3 (b) Graph

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A: Given: C(q)=120q + 44,200 p(q) = -2.1q +890  

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A: For pmf. There will be 2 conditions so verify all 2 conditions. 

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A: Let's find. 

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A: Here is the solution:

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A: Total No. Of people = 200 Visited Grocery shop= 124 Visited Drug store =88  Visited both = 26 We nee...

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Q: Find the cumulative density function for the given probability density function. k(x) = 1.9 e -1.9X,...

A: Given: k(x)=1.9e-1.9x, for 0≤x≤∞ Cumulative density function will be Kx=∫0xk(t)dt

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A: We have to find maximum profit. 

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A: I am attaching image so that you understand each and every step.

Q: Solve simultaneous equation dx/dt=3x+5y , dy/dt=-x-y , x=5 , y=-3

A: We need to solve the given simultaneous equations, dxdt=3x+5ydydt=-x-y at x=5, y=-3

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