2) Given the joint pmff(x.y): X 0 X 5 X 6 X -1 X 2 Y=-3 0.1 0.25 0 0.2 0 Y-1 0 0.1 0.05 0 0 0.1 0.05 Y= 2 0 0.1 0.05 a) Determine the marginal pmfs f(x) and fy). b) Determineffx\y) for Y = -3.

Q: find a function z = ƒ(x, y) whose partial derivatives are as given, or explain why this is…

A: Partial differentiation is the differentiation of a multivariate function with respect to only one…

Q: Find the indicated partial derivative f(x,y,z) = x2cos(yz),     fxzy

A: Consider the function  fx,y,z=x2cosyz

Q: 1. Ta)Galculate the critical polnts of Hhe function z(x, y) = K-1} + (q-3) - 5, subjet to %3D X +2y…

A:

Q: 1. Find the first and second partial derivatives (that is f, af, , , and ) of Əx' dy' dx², ay² »…

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: Find the requested partial derivative. dz 3 if z° = z+ xy - 1 and y = x+ y- 1 dy 3

A: We have to find partial derivative

Q: Find the second order partial derivatives and of дхду aydx S(x.y) = 4x + In x + e² cos y + 9y + 3

A: d/dx(x^n)=nx^n-1 d/dx(cosx)=-sinx

Q: Find ðw/as and dw/at using the appropriate Chain Rule. Function Values w = y³ – 10x3y x = e°, y = e…

A: Given  w = y3 - 10x2y x = es   y = et

Q: Evaluate the indicated partial derivatives. f (x, y) = 3x°ye*y af (1,1) = fe (1,1) =

A: We have to solve the problem by doing the partial derivative.

Q: What is the isogonal trajectories cutting at angle of 0= arctan 4 to the family of curves whose…

A:

Q: Determine the first order partial derivative of the following: F(x, y) = cos(e^t) dt and…

A:

Q: Find the partial derivative of f (x, y) = e2+3y cos (x³y²) with respect to x. O fa (x, y) = e2x+3y…

A: Given f(x,y)=e2x+3ycosx3y2 To differentiate f(x,y) partially with respect to x Let u=e2x+3y…

Q: A function z(x, y) is said to satisfy Laplace's equation if the partial derivatives behave ac…

A: Given z=ln(x2+y2)

Q: Given the function f(x,y) cos 2xーx3eY +āyン COS find te second partial olerivative fxy.

A: Let f(x,y) is the given function.Then  fx is the derivative of f with respect to x taking y as a…

Q: Find the indicated higher partial derivative. a. f(x,y) = 3x5 + 2x³y² + 9xy*; fyxx a²c b. c = In (a…

A: As per our guidelines we are supposed to answer only three subpart of multiple subpart question.…

Q: Suppose lim y(t) = 5, which initial value problem does y satis dy A. = 25y – y", y(0) = 6. dy В. =…

A:

Q: Compute the indicated partial derivative. g(x, y, z) = x³y^z° 9xxyz =

A:

Q: Find the partial elasticities of z = x'e.

A: Introduction: The partial elasticity of z with respect to x is given by, εx=zxxz The partial…

Q: Let y=2x^2+3x+3. If Δx=0.1 at x=4, use linear approximation to estimate Δy Δy≈

A:

Q: Compute the indicated partial derivative. g(x, y, z) = x³y^z° 9xxyz %3D

A:

Q: Given the function of two variables f(x,v) = In(/x7+y7). The partial derivative with respect to x is…

A:

Q: Find the requested partial derivative. dz z= (3x +4y) ; (2,5)

A: Option D is the correct option. Use the chain rule to find the partial derivative for z w.r.t x.

Q: find a function z = ƒ(x, y) whose partial derivatives are as given, or explain why this is…

A: We integrate f_x with respect to x and find f(x,y) Here g(y) is a function of y and c is…

Q: find a function z = ƒ(x, y) whose partial derivatives are as given, or explain why this is…

A: We will find f(x,y) from both partial derivatives.  Where g(y) is a function of y and c is…

Q: Suppose that the partial derivatives of a function ƒ(x, y, z) at points on the helix x = cos t, y =…

A:

Q: If f is a function of x and y such that fxy and fyx are continuous, what is the relationship between…

A: Function: fx and fy are continuous function. Let us choose f(x,y)=x3y3+πxy Here fx=3x2y3+πy…

Q: Given that z = 2(r, y) and ze™" – a³z + In(x°z³) = 0, find the value of the partial derivative z, at…

A: We have to find the partial derivative zx at the point 1,0,1 where zexy-x3z+lnx2z3=0.

Q: B. Find the indicated partial derivatives: af af 7. fls.y) = cn{«-y?), y

A:

Q: Find aw/as and dw/at using the appropriate Chain Rule. Function Values w = y - 9x3y x = e, y = ef s=…

A: Partial Derivative of Chain Rules

Q: For an ideal gas, find explicit expression for the partial derivative:* ƏT RT P R. O Option 1 O…

A: The equation of an Ideal gas is PV=nRT. Here, P- Pressure V- Volume n- Amount of substance R- Ideal…

Q: What does the Clairault Theorem claims?       For any function F(x,y) its partial derivative with…

A: It is asked to define Clairaut's Theorem

Q: Given that e2y, 10x2+4. f (x, y) = sin Enter a 10 significant figure approximation to the partial…

A: We will use matlab to find the answer

Q: 2. Given the joint pdf of X and Y, fxx(x, y) = { '0" (4xy 0<x< y <1 other wise Find the marginal…

A:

Q: Find əw/as and aw/at using the appropriate Chain Rule. Function Values w = y3 - 10x?y x = e, y = et…

A:

Q: Evaluate the indicated partial derivatives. f(x, y) = 5x"ye#y (1,1) = af dx -(1, 1) = dy

A: Given: fx,y=5x5yexy for evaluative partial derivative with respect to x, we assume y as constant and…

Q: 2. Sketch the grsph of au cxponcutial fuetion that satislics all of the conditions. Iorain (x E R)…

A: a) Given that domain is all real number. That means x takes all real values.  Range is y&lt;0, so y…

Q: If f(x, y) = e"sin (x), evaluate the partial derivative f, at (, 0). A. π В. 1 C. 0 D. - 1 E. None…

A: First we find out fx then we put x=π and y=0 in the value of fx .

Q: Find the first partial derivatives of the function. ах + by cx + dy f(x, у) fx(x, y) = fy(x, y)

A:

Q: 1 The partial derivative of f(x, y, z) = Arctan with respect to z is xy? z³

A:

Q: 1)Consider the function f(x, y) = x° + 2xy + y? – 5x b) Calculate the second-order partial…

A:

Q: Find all the first order partial derivatives for the following function. f(x, y, 2) %3 2(e Х) У af…

A:

Q: Use the Chain Rule to evaluate the partial derivative at the point specified. ag at s = 9, where…

A:

Q: Find the partial derivative for the function f(x,y)=√x+y3 f(xx,y)= f(x,y) = √8x + y² 33x √8x+y³ (y)=…

A: The given function is;  f(x,y)=sqrt(8x+y3).

Q: the dice of a truncated cone were measured, resulting in the following quantities r= (10.30 +0.10)…

A: The resulting quantities of given dice of the truncated cone are The greater radius :…

Q: Find the first partial derivatives with respect to x, y, and z. 3xz w = x + y aw ax aw ду dw az

A: To find the partial derivatives of the function

Q: Evaluate the indicated partial derivatives. f(x, y) = 2a°ye*y af (1, 1) = af dy 2,(1,1) =

A:

Q: (xy(x² – y²) f(x,y) ={ x² +y² si x² + y² + 0 0 si (x, y) = (0,0)

A:

Q: What is the partial derivative dv/dy of the following function? v = 3x + 9xy -y/In(z) + cos (z + x)…

A:

Q: (a∗ ) Compute P(X = 4, Y = 5). (b∗ ) Compute the marginal pmf’s of X and Y . (c∗ ) Are X and Y…

A: The joint pmf of X and Y is given by