If Var(X+Y) = 3, Var(X- Y) = 1, E(X) = 1, and E(Y) = 2, then E(XY) %3D 5/2 1/2

Q: 22. If f (x) = 16vx, then f"(4) is equal to (A) -32 (В) -16 (С) -4 (D) -2 (E)

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Q: 2. If F' =fand f(x) = 18x 12x+ 2x, which of the following could be F(x) ? %3D %3D - (A) 3x° – 3x* +x…

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Q: If a(x)=2-8x, what is an equation for a-1(x)?

A: Given: a(x)=2-8x To find the inverse replace a(x) with y. y=2-8x

Q: O y =2x + 3 O y = 1/2x + 3 O y= 1/2x-3 %3D y = -1/2x - 3

A: Given graph is

Q: If f(x) = 3x³ + 1 and g(x)=2x-1, then g(f(-1)) = −5 . true false

A: f(x)=3x3+1 g(x)=2x-1.

Q: 1. y = 4* y = 1. • 3* %3D 3. f(x) = 3*+ 1

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Q: -x+y+3z = 3 x+2y-z 0 3x+2y %3D -5z = -2

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Q: f(x) = 3 IS %3D 3(x)ミVX |(90gl0) = ?

A:

Q: If f(x) = x2/(4 + x), find f "(2). f "(2) =

A: f(x) = x2 /(4+x)  f'(x) = [(4+x)(2x) - x2(1)] / (4+x)2  = (8x+2x2 - x2)/(4+x)2 = (8x+x2)/(4+x)2…

Q: f(x) = 8Vx + 1; g(x) = x² + 9 %3D

A: Given: - The functions are, f(x)=8x+1 and g(x)=x2+9 To find: - The value of f∘g and g∘f

Q: Data on alcohol content and wine quality was collected from variants of a particular wine. From a…

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Q: If P(A) = 0.53, P(B) = 0.3, and P(A and B) = 0.15, then P(A/B) = (Please round to two decimal…

A: P(A)=0.53P(B)=0.3P(A and B)=0.15

Q: Data on alcohol content and wine quality was collected from variants of a particular wine. From a…

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Q: If f(x) = x2 is translated 3 units to the right to form g(x), which of the following %3D equations…

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Q: If f(x) = x* + 8, g(x) = x – 7 and h(x) = Va, then %3D - f(g(h(x))) =

A: NOTE: Refresh your page if you can't see any equations. . given functions are

Q: Suppose X and Y are independent variables such that E[X] = 2, E[Y] = 3, E[X^2] = 9 and E[Y^2] = 15.…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.