Example 3.9. For x = 1,2 and y = 1,2, let the joint PMF of X and Y be defined by ry fx.y(x, y) = 15 Are X and Y independent?

Q: 10) Show that [x] = −[−x] A 11) suppose that g: A → B and f: BC, where A = B = C = {1,2,3,4}, g =…

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Q: 5. If f (x) = Vx, g(x) = x + 5 and h(x) = x² – ÷, 1 find the following.

A: Given,            fx=x , gx=x+5  and  hx=x2-1x .

Q: Let f(x,y) = x - 4xy - y. Compute f(4,0) and f(4, – 4). f(4,0) = (Simplify your answer.)

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Q: Define briefly u(t) and 8(t)

A: u(t): u(t) represents the unit step function, which is defined as u(t) = 0 for t < 0 and u(t) = 1…

Q: e equation of

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Q: Find fx and fy. f(x,y)=-6e' 7x-5y fx (x,y) = fy(x,y) =

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Q: 10, 14, 16, Page 52. Find the real and imaginary parts of the following functions: (a) f(z) = −3z +…

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Q: If mZDFC = (11g 9), find g so that FC 1 FD. %3D D F

A: if two line are perpendicular then angle formed is of 90 degree

Q: Consider the following. w = xy2 + x2z + yz?, x = t2, y = 5t, z = 5 (a) Find dw/dt using the…

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Q: Given z = f(x, y), x = x(u, v), y = y(u, v), with x(6,2) = 5 and y(6, 2) = 4, calculate zu(6, 2) in…

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Q: af Find and əx af dy f(x,y) = (x³-4) (3y + 2) af for the following function.

A: Given query is to find indicated derivative.

Q: Let r(x) = f(g(x)) and s(x) = g( f(x)), where f and g are shown in the figure. Find (a) r′(1) and…

A: Given: r(x)=f(g(x)) and s(x)=g(f(x)) And the graph, To find: a) r'1 b) s'4