If f(x,y) = 3e2y cos (x-2), then the linear approximation at (2,0) is %3D (A) 3-3x (B) 3+ 6y (C) 3-3x + 6y (D) 5+3x - 6y (E) 5+3x + 3y

Q: the line (x/a)+(y/b)=1 moves in such a way that (1/a\power{2})+(1/b\power{2})=(1/c\power{2}) ,where…

A: Variable line is                xa+yb=1                 ......(1)Any line perpendicular to (i) and…

Q: If f(x,y)=xe/2+118x?y, then asf at (1,1) is equal to əx²əy³

A: Given function is: f(x,y)=xey22+118x2y3 Derivative of function with respect to 'x'…

Q: Suppose f(x, y) = xy + 4. Compute the following values: f(x + 4y, x – 4y)= - f(xy, 6x²y³)=

A: We can find the given function .

Q: If f(x,y)=x²y³+x4y, find f XX 2y³ + 12x²y 2xy³+4x³y □ 6x²y 6xy² + 4x ³

A: Topic = Derivative

Q: Is ƒ(x, y) = x2 - xy + y2 - 3 more sensitive to changes in x or to changes in y when it is near the…

A: Partial derivative of f w.r.t a variable is the indicator of the sensitivity of f towards that…

Q: The orthogonal trajectories of the family of curves y = cx² is (A) 2x +y2=k (B) x²+2y² = k © x=ky² D…

A:

Q: Suppose that y is a function of u, u is a function of x, and u = -1 when x = 2. If du/dx|x=2 = 3 and…

A: Solution

Q: Equation: Answer:

A: We want to find value of x. For this we use Pythagoras theorem, which states that Hypotenuse2 =…

Q: Use Cramer's rule to solve for y (y only) in x+y=z=6 3x - 2y+z=-5 x + 3y - 2z = 14

A: The given system of linear equations, x+y-z=63x-2y+z=-5x+3y-2z=14 We have to find the value of y…

Q: What is the derivative of the cross product u(t) x v(t) if u(t) and v(t) equal the following (see…

A:

Q: f(x, y) = √√2x² + 5y² fz(0, 1) =

A:

Q: The derivative of y= (V x - 2 )(Vx+1) is equal to: х - 1 A 2x+1/x-2 2х-1 B Jx+1/x=2 2х-2 2/x+1/x-2 D…

A:

Q: Find the line integral of F along the parabola y = x² from the origin to (4, 16).

A: Using green's theorem.

Q: If f(x,y)=xey²/2+204x²y³, then a5f 0х2дуз at (1,1) is equal to

A:

Q: For f(x,y)=2(2x2+y3)4: (a) Determine fx(x,y) . Answer: 32 (2x ? +y)²(12x + 2x² + y³) (b) Determine…

A: Given problem :-

Q: 30. Which of the following is the value of f.(2, -1)? O -13 O 50 O 106

A: Given :              f(x, y) = 2x3 + 7x2y3 + 8y3 + 3x - 2y + 10   To find the value of fx(2,…

Q: f(x, y) = V 2 2 3x² + 4y²

A:

Q: Find f, (9,0) if f(x,y) = 4x eY. fy(9,0) = (Simplify your answer.) %3D

A: We can find the required answer as below

Q: Find y as a function of a if y(0) = 5, y(0) = 17, y"(0) = 5, y"(0) = 8. y(x) = y(4) — 6y" + 9y" =…

A:

Q: Find f, (8,2) if f(x.y) = e* - 5y.

A: We can find the answer as below

Q: Please show me the partial derivatives for this homogenous equation and solve for GS/PS using Test…

A: Exact differential equation

Q: Find y as a function of t if y(0) = 5, y(0) = 3. y(t) = 36y" - 84y +58y = 0₂

A:

Q: If f(x,y)=2y2ex+3ln(xy), find fxyy(1,1).

A: Given  fx,y = 2y2ex + 3lnxy                        fxx,y = ∂f∂x = 2y2 ∂∂xex + 3∂∂xlnxy…

Q: Find dy/dz y=f(z) (2x2+3x+1) where f(z) is a general function and z=4x3+2

A:

Q: is given by: If f(x, y) then 8(8x-4y) '

A:

Q: Find ff f(x, y) dA where f(x, y) = 3x + 1 and R= [0, 3] x [1,3]. R SSR f(x, y) dA =

A:

Q: Let f (x, y) = 2x³ + 4y³ + 19xy Find D = frx · fyy - fey at the point (2,2)

A:

Q: -

A: Given function is: fx,y=2x3+7x2y3+8y3+3x-2y+10 We have to find fxx,y.

Q: The graph of y=x'-3x-24x +32 is concave upward on the interval (1, oo) because: O'=y"=0 Oy' is…

A: The given function is y=x3-3x2-24x+32

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.