Sa + bx² The density function of X is given by f (x) l0, 0

Q: (0,0,0) (1,1,1) C2 C.

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Q: 1. Let F = x³i+3+k. Find the general equation of a flow line. Find the flow line through the origin.…

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Q: Let f(z, y) = re". What is the maximum rate of change of f at the point (2,0)? O a. V5 O b. 2 O c. 1…

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Q: Please show your answer to at least 4 decimal places. 4x Determine the gradient of f(x, y) = e…

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Q: B. Water is flowing out of tank at a rate of 200 – period. How much water flows out of the tank in…

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Q: Suppose the volume of a tree is given by V=1c²h where c is the circumference of the tree in meters…

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Q: technique to find the density function for the random variable Y. The density function should be…

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Q: Find df / dx and ðf / dy. f(x,y) = e(x + y + 8)

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Q: Given the f(x) below determine the pdf of U where U = Y + 2 f(y) = 2y^2, for 0 < y ≤ 2 and zero…

A: We need to determine the pdf of U where U = Y + 2

Q: Let f(x, y) = ln(x + y − 1). The domain of f is {(x, y)| x + y > }.

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Q: So If fis continuous and f(x) dx = 20, evaluare let U = 3x f² f(3x) dx.

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Q: d) Bessel function, Show that So Jo(x) dx = 1.

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Q: What is the value of the beta function, B(x, y), where x and y are positive real numbers?

A: We have to write the value of the beta function, B(x, y), where x and y are positive real numbers!

Q: Gy Determin thle area between the curve 9 = x²+1 and y+ X = 7

A: Given: To determine the area between the curve y=x2+1 and y+x=7⇒ y=7-x

Q: Find the equation for the tangent plane to the surface x2 - 5xyz + y² = 7z2 at the point (-1, -1,…

A: Simplify the given equation of the surface in the form F(x,y,z)=0. x2-5xyz+y2=7z2x2-5xyz+y2-7z2=0…

Q: H.W: find dz and əz | ди ὃν z = 4e* ln y, x = ln(u cos v), y = u sin v as functions of u and vif:

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Q: Let f(x) and g(x) be differentiable functions satisfying f'(x)g(x) = – f(x)g'(x), Vr. If f(1) = g(1)…

A: Given f(x) and g(x) be differentiable function. f'(x)g(x)=-f(x)g'(x)    ∀xf(1)=g(1)=5f(5)=1 To find…

Q: Use the Fundamental Theorem of Calculus Part I to find dh/dx given h(x) = cost dt (Hìnt: need…

A: Answer:  By fundamental theorem of calculus  Let fx=∫axbx gt. dt   dfdx=gbx.b'x-gax.a'x

Q: An integrating factor for y'+8z°y = sin z is given by (a) 2z (b) In(z*) (c) z4 (d) 5e2z

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Q: Seatwork: Find the y'. 1. y = 5e2x 2. y = ex²+2x-1 3. y = x In Vx 4. y = 5ln x 5. y = In () x+1 'x…

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Q: find fsub(x), fsub(y), and fsub(z): f(x,y,z)=e^yz+sinx)

A: Given,          fx,y,z=eyz+sinx

Q: Let X ~ Exp(λ). Find F(X) and E(X).

A: Let X ~ Exp(λ)The probability density function of X is fx(x)=e-λx   ;x&gt;0

Q: dy Find if y is a function of x defined dx implicitly by xy? + cos(yx) = e*y + In x

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