Q2: Suppose A = (0,2,4,6,8), B = (1,3,5,7) and C= (2,8,4). Find 1) AUB %3D 2) Ance 3) Bnc 4) C\B

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A: Given that V=x+y2+z2 then grad(V)=i^+2yj^+2zk^ So,…

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A: our objective is to show which options are true in the above questions.

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Q: If E(x + 4) = 10 and E(x + 4)² = 116 , then the value of standard deviation of X is 16

A: E(X) + 4 = 10 E(X) = 6   E(X2) + 16 +8E(X) = 116 E(X2) = 116 - 16 - 48 E(X2) = 52

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Q: Q1) Find the local extreme values of the function f(x, y) = 3y2 - 2y - 3 x + 6xy

A: We use second order partial derivative to find maximum, minimum and saddle points

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A: Let's solve given question.(1st for s and 2nd for n)

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A: It is an important part of statistics. It is widely used.

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Q: 5- Let A and B are two events such that P(A) = P(B) = 1/2 and P(A n B) = 1/3 then the value of P(AU…

A: The provided information is: PA=12PB=12PAc∩Bc=13

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: