FIND THE DOMAIN OF f) = V9-6x+x

Q: Find the maximum value of 13x^2- 8xy+ 7y^2subject to x^2+ y^2= 1.

A:

Q: Verify that g'(x) 1 where g(x) = v2x – 3. %3D V2r – 3

A: Giveng(x)=2x-3.To verify g'(x)=12x-3  is the derivative of g(x).

Q: Find DF of fcxiy)=x²e° at the point (-2,0)-

A: Given function is fx,y=x2ey. We have to find the ∇f at the point -2,0. We know that ∇f=∂f∂xi+∂f∂yj…

Q: Find the maximum value of xy if it is required that 2x + 7y = 35 %3D

A: Given  2x+7y = 35  y=(35-2x)/7 Let M = xy  To maximize the value of xy=M we need to differentiate…

Q: Express ax2 + bx + c as a linear combination of the functions f(x) = 5, g(x) = 4x, and h(x) = -x²,…

A:

Q: Verify that ƒxy = ƒyx, for ƒ(x, y) = 2x3 + 3y2 + 1.

A: To verify that

Q: If f(x, y) = 2x+6 (2a-6y) of then is given by:

A: In the above question we will take y as constant since we have to partially differentiate it with…

Q: If f(x, y) = In (2x-3y), then find of ||

A: We can solve this problem using partial derivatives.

Q: Calculate Vf when f 3x z-y7+ 4x'y+ 2x - 3y-5 at the point (1, 1, 0).

A:

Q: tind the Iinverse ) f(x) =5x-8 ® g@) = 2x-4 %3D こ gl6) = Vx+1+2 %3D

A:

Q: Let f(z) = 14x +2 %3D f (z) =

A: Let ,  f(x) = 14x + 2  We have to find f-1(x) Let y = f(x)  So ,  y = 14x +2 Interchange x & y…

Q: Let f(z) = 5z2 + 3z. %3D

A: Given,            f(z)=5z2+3z and         z = 8.2+5.9i

Q: Find the zero(s) of f. Ay -1 2 x f(x) = -2x2 + 3x %3D 2.

A: The function is given by  To evaluate : The zeros of the function fx

Q: What is the domain of h(x, y) = Vx - y?

A: Given: hx,y=x-y we know that for domain of square root function inside of root not has to be greater…

Q: For the function f(x,.y,2) In (8x2 -7y4 +2xz2), find f, fy, fz, and fz

A:

Q: Let F(x,y) = (3x +4xy)i + (2x² -y³j

A: Given,

Q: If f(x) = x2 – 5x + 7, what are the co – ordinates of the minimum of y = f(x – 2)?

A:

Q: Find the extremum of f(x,y) = 6x²y² +4y² + 4x².

A:

Q: Show that f (x) = 2x − 18 is invertible. What are the domain and range of f−1?

A: Given: f(x)=2x-18

Q: The domain of the function f(x,y) = In(2 – /x2 + y² ) is: %3D - x² +y² < 4

A: The explanation of the solution as follows:

Q: • The Doman of f(x) = 4 – Vx is 1. (2, 0) 2. [-2,0) 3. [2, 00) 4. [-2,2]

A:

Q: Find f, (x.y) if f(x.y)=x - 5xy- 4y2.

A:

Q: x, prove that y¨= 2(y² +1)(3y² +1).

A:

Q: on f(x) = +9x is %3D 2)

A: There are multiple questions, as per company policy kindly ask other questions separately.    Given

Q: In(1 – a²) V4 – x² – y? Find and sketch the domain of f(x) = %3D

A: The domain of the function f(x) is the values of x for which the function attains the real values.…

Q: *宗+> B. If z = show that x 3z %3D x+y

A:

Q: Find the critical points for f(x) = 3x5 - 20x3. %3D

A:

Q: Find the local linearization of f(x) = x²at -3. L 3(2) =U

A: Given that

Q: Find the linearzation L(x) of f(x)= \sqrt(5x+16) at a=0

A: Given Fx=5x+16 at a=0The objective is to find the linearzatin Lx ofFx=5x+16 at a=0find the…

Q: What is the fxx, fyy, and fxy of f=(2x^4)+(y^2)-(x^2)-(2y)?

A:

Q: Use Cramer’s rule to solve for x 2x=3y-4z+11 9x+y=z-1 3x-4y=7

A: Given,

Q: Find the linearization of f(x) = V16 – x² at a = 3. %3D

A: Given: The formula used for linearization:

Q: 3 a AB: 4x + 5y = 13; midpoint (2, 1)

A: The equation of the line is 4x+5y=13. The midpoint of the line is 2, 1.

Q: Sketch the natural domain of f (x, y) = V(2x² +2y² – 8.

A: The find the domain of a radical function, f(x,y)=2x2+2y2-8, the radicand must be nonnegative,…

Q: Find the critical numbers of the function. f(x) : 6x2 – 9x %3D

A: given f(x)=6x2-9xdiffrentiate the function to calculate critical pointsf'(x)=12x-9

Q: Let f(x) = 8z10 - 52°. %3D (a) Use the definition of a

A: Given

Q: Calculate Vf when f 3x 2- y z' + 4x'y + 2x - 3y - 5 at the point (1, 1, 0).

A:

Q: Compute f(c + h) – f(c) at the indicated point. f(x) = 7x²; c = 5

A:

Q: Calculate fxyy for f(x,y) = x 3 + y2ex.

A: Given function is fx,y=x3+y2ex. To calculate: fxyy. Solution: fxyy means first partial derivative of…

Q: Find f, (x.y) if f(x.y) = x² - 7xy – 9y². (x.y) =|

A:

Q: Describe the domain of : 4) f(x, y, z) = /1– x² – y² – z²

A: This is a square root function in 3 dimension and it should be defined on the real line. So, we have…

Q: Suppose that f(x, y) = 32 y at which {(x, y) | æ² + y² < 3²}.

A:

Q: Find the linearization at x = a. 1 f(x) = = 5 +3

A:

Q: Find Vf if f = 2 2 2 x² + y² + z² V.

A: Given,            f=1x2+y2+z2To find : ∇f

Q: Let f(x) = e2x (x² – 2x – 11). %3D -

A: Given function, f(x)=e2x(x2-2x-11)                 ....(1)

Q: Suppose that f(x, y) = 4x + y on the domain D = {(x, y) | 1 < x < 2, a < y < 4}. D

A: Solution is in step 2

Q: Find the value of c guaranteed by the Intermediate Value Theorem. x²+ 5x 9. 18 Ke) = 18 f(x) = f(c)…

A:

Q: Use the characteristics method to solve the problem U, +3yU, = 2U , U(x,1) = f(1+ x,)

A:

Q: Suppose that f(r, y) = x² – xy + y² – 4x + 4y with – 4 < x, y < 4. -

A: 1.)  Given Function is  f(x,y) =x2-xy+y2-4x+4y  with  -4≤x,y≤4  Then, fxx,y=2x-y-4…

Q: Let z = x + y*- 4x'y2. Find %3D

A: Find the partial derivative of the function z = x5 + y4 -4 x3 y2 z=x5+y4−4x3y2Find ∂2z∂x2 and ∂2z∂y2

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.