f(x) 10 6 4 2 -27 2л 2. 2, 3,

Q: 4 For which values of a e R is the function f(x + iy) = (a²x – axy)+ i ax? + ay an entire function?

A:

Q: Determine the open intervals on which each function is increasing, decreasing, or constant.

A: To determine the open intervals on which each function is increasing, decreasing or constant.

Q: 4. Let f (x) = e-w2 dw csc-1 x Then f'(V2) = A) 2 –e 16 B) 1

A: Here we have f(x)=∫csc-1x∫2x2sinπ16t2dte-w2dw ....................... (1) We have to find, f'(2)=?

Q: A function of the form y ax + bx + c, a + 0, is called a/an function.

A: The given function is, y=ax2+bx+c, a≠0 For the given function, the degree of the function is 2.

Q: (2) Find the derivatives of the given functions. 12 (a) h(w) = 3w? + w2 0- 1 (b) y% = (c) AP if V…

A:

Q: Q2: Find the streamlines corresponding to: f(z) = 2 = z(z)-¹ z = x+yi, z = x - yi

A:

Q: 3 Consider the function f(x)= 2x +1 a. Write the linear approximation to f(x) at x = 4. b. Use your…

A: Explanation of the answer is as follows

Q: Can you please answer this question and show the work

A:

Q: In Problem, the graph of a function is illustrated. Use the graph of as the first step toward…

A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: H.W 2- Find the linearization of the function at each point. (1) f (x,y)=x+y²+1 P(1,1)

A: since you have asked multiple question, we will solve the first question for you.If you want any…

Q: 17. Find the linear function f(x) that is parallel to 4x + 3y = 6, such that f(0) = 7.

A: Given function, 4x+3y=6, That is 3y=-4x+6 y=-43x+2 compare to y=mx+c Therefore m=-43

Q: Find the linearization L(x) of the function at a. f(x) = x2/3, a = 27 L(x) =

A: The linearization of the function fx at x=a is Lx=fa+f'ax-a

Q: Consider the function f(x)=/25–x². a. Find the linearization L(x) of f(x) at x = 3.

A: Given function , f(x) =25-x2Linearization of f/9x/0 at x=a is given by L(x) = f(a)+(x-a) f'(a)

Q: Find the linearization L(x)of the function at a .

A:

Q: 4. Find three functions f, g,h that satisfy: f(g(h(x)))= +2 Vx?

A: Given,             fghx=1x2+2

Q: The function f(x) (x2 -1)3, is increasing on the interval (-00,-2)U(0,2) .A (-1,0) U (1, 0 ) .B

A: The given function is f(x)=(x2-1)23

Q: f (æ, t) = e-t function fea - fu = 0 provides equality. True False

A: Given the function fx, t=ex-t We need to check the validity of fxx-ftt=0 to get the correct option.

Q: 2x-3 3. Let f(x) = 3x+4' ,find Y as Ax -0 Ay

A:

Q: valuate the functions at the given values of the independent variables.    z=4x^(2)-3xy^(3); x=2,…

A:

Q: Find a point c satisfying the MVT for the given function and interval. ?=x2/3, [0,8]

A: Explanation of the answer is as follows

Q: Find the function value, if possible.

A: Solution:Given     f(x)=2x+1x<02x+2x≥0to find the function value

Q: In Problem, the graph of a function is illustrated. Use the graph of as the first step toward…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: 1. Find and sketch the domain of the function z = f(x,y) = Vx² + y² – 6x – 27. Then sketch the trace…

A: Given: The given function is z=fx,y=x2+y2-6x-27

Q: (a) Find the local extreme values of the function f(x, y) = 2xy – x² – 2y² + 3x + 4.

A:

Q: 1. Let (x) = x2 + 2. Then (*+h)-f(x) A) 2x + h 2xh+ h2+4 C) B) 1 D) None of the above

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: f(x, y) = 9xye(x² + y²) f(0, 0) = f(0, 1) = = f(1, 1) = ==== f(-1, -1) =

A:

Q: Let a + 0 be a constant. Give an example of a function y = f(x) for which ay – y' = 0 and g?y – y" =…

A:

Q: The range of the function f(x, y) = 4 – V4 - x² - y is [2, co) (-00, 2] (-0, 4] [2, 4] [4, c0)

A: Range of a function:The set of all possible values of y after substituting all the possible values…

Q: 1. Find and sketch the domain of the function z = f(x, y) = Vx² + y² – 6x – 27. Then sketch the…

A: Solution: The given function is z=fx,y=x2+y2-6x-27 We have to find and sketch the domain of z=fx,y.

Q: In Problem,use the figure to solve each inequality.

A:

Q: Find x' for x(t) defined implicitly by x° +t°x+t +4 = 0 and then evaluate x' at the point (- 2,2).…

A:

Q: The function f has the property that f(3)=2andf (3) = 4. Using a linear approximation to ff near x=3…

A:

Q: 9) Find a linear function of the form f(x) = ax +b that satisfy the conditions A-4) = 8 and (3) - 9.

A: f(x) = ax+bf(-4) = 8→ -4a+b = 8.........................1f(3) = 9→3a +b =…

Q: (b) Use the Chain Rule for functions of several variables to find e and dw if 4.x2y3 – 1 + 2y and v…

A:

Q: Find the linearization L(x) of the function at a. f(x) = x³ - x² + 7, a = -3 L(x) =

A: The solution for the above equation is as shown below.

Q: Find the value of a so that the left- and right-hand derivatives of f(x) at x = a are equal given…

A:

Q: h(x)= 3x+5 j(x)=-2, I-3 What is h(x)/j(x)? What is the domain?

A:

Q: Find the linearization L(x) of the function at a. f(x) = –9x?, a = -9 L(x) =||

A: Given:- The function is, f(x)=-9x2 To find: - The linearization L(x) of the given function at a=-9

Q: 3. Consider the following function: z = f(x, y) = e²+24 (3x – y)

A:

Q: find the specific function values. ƒ(x, y, z) =(x - y)/(y2 + z2) ƒ(3, -1, 2)

A:

Q: Q3. Use the inverse operator method to solve the nonhomogeneous ODE for its general solution y" –…

A:

Q: Find the linearization L(x) of the function at a. f(x) = x2/3, a = 27

A: Consider the given function

Q: f(x) -ax e = X <0

A:

Q: Evaluate the function g(x, y) at the point (4, –8). x2 + y2 g(4, –8) =

A:

Q: Find the linearization L(x) of the function at a. f(x) = e5x a = 0 L(x) 1 + 5x %3D %3D

A: We have to find linearisation

Q: Use a formula to express y as a function of t if  y = 3x2 + 9x and x = t − 1.   y =

A: First of all, both equations i.e. y in terms of x and x in terms of t.

Q: Find three functions f, g,h that satisfy: f(g(h(x)))=, +2

A: given :

Q: If f(x.y,z) In(xz) – 2xy2z, find fzxy at the point (0.5, 1,-1) a) b) - 1 c) 8 d) - 2 e) - 4 g) None…

A: