Evaluate fx and fy at the given point. 5xy f(x, y) = (1, 1) 6x² + 3y²' fx(1, 1) fy(1, 1) = (No Response) (No Response)

Q: Use the elimination method to find a general solution for the given linear system, where…

A:

Q: Let f(x) =x²-x -5 and gx)= -8x+4. Find g(3) and f(g(3)). %3D 9(3) = f(g(3)) = %3D %3D

A:

Q: 3. (b) Consider the function f(x, y) = a(x² + y²) + xy + 1 for some real number a. Find Vf. Find fxx…

A:

Q: (3) Let X n(µ,4) and Var(2x)= E(5-8x) find u.

A: Given that X follows normal distribution with mean mu and Variance 4 E(X)= mu Var(X)= 4 Given that,…

Q: Let X = n(µ,4) and Var(2x) = E(4–7x) find µ.

A: Given: X ~ N (μ,4) So, V [X] = 4 V [2X] = E [4 - 7X]

Q: 3.2 X(x²-1)-y=xy* ;y(2)=-

A:

Q: a) f(x) = {(3, –4), (2, 1), (–9,–3)} |

A: We have to find domain and range

Q: Find the linearization at x = a. f(x) = 1 a = 5 x3 (Express numbers in exact form. Use symbolic…

A:

Q: Find f(3, - 4) if f(x.y) = 4x² + 3xy– 6y +6x- 3y – 7. frox (3, – 4) =

A:

Q: Prove that if x+y=%30 then y=-x

A: See the attachment

Q: (5, 2)

A:

Q: Find the linearization at x = a. y = (10 + x)-1/2, a = 9 (Use symbolic notation and fractions where…

A:

Q: 2 Suppose y is a function of x such that y * and y(4) = -3. Find y. |

A: The differential equation is given by y' = 2x                                   .......(1) Initial…

Q: Compute f 3 2 x-5x+6 dx.

A:

Q: a51 - Find ax2@y3 if f(x,y)-x.e z

A:

Q: dx 1. (x-3)(x-2)

A: Given I=∫1x-3x-2dx To evaluate the integral I:

Q: Find T(0)

A: Introduction: The tangent vector of a vector valued function rt is represented as r't. The necessary…

Q: ,2,,2 Suppose that f(x, y) = 10x²y² + 6x? + 2y? then find the discriminant of f.

A: We have to find the discriminant from the given function

Q: x*y+2x? Let f(x, y) = and find f,(1,2) and f,(1,2) 3x- y

A:

Q: 2. Let X-N(0,0¹) and Y=X². Show that Y (2)

A: It is given that X is a normal distribution with mean 0 and variance σ2 i.e., X∼N(0,σ2)We have to…