Use the tabie of vaiues to evaiuate the f(e) g(x) 15 12 19 2 4 2 g(6)) 9{(7)) %3D %3D 9(9(8)) %3D 00

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

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Q: Find fxx (x,y), fxy(x,y), fyx (x,y), and fyy (x,y) for the function f. f(x,y) = 5x e 8xy fxx (x,y) =…

A:

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: Find fxx (x,y), fxy(x,y), fyx (x,y), and fyy(x,y) for the function f. f(x,y) = 5x e 8xy

A: Given function is f(x, y) = 5xe8xy

Q: The average rate of change of the function f(x)= 4x² + 6x on the interval [1, 3 is %3D 14 22 18 28…

A: here option a is true  because average rate of change is given by on doing differentiation that is…

Q: The linearization of f (x) = x² based at 3 is L (x) = [ Select ] [ Select ] (x - [ Select ] Done […

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Q: Let y(x) be the function that satisfies e3 – 17 xy' – 3xy – y – x4 = 0, y(1) : x > 0. 27 Find the…

A: detailed solution is given below

Q: Consider the function f (z) = e²z.

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Q: Determine the numerical value of F-(2, 3, – 1) given the function F(x, y, z) = 2x²y - xz2 + 3y²z.

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Q: Find the linearization of the function f(x) = x^(1/5) at a = 32 and use it to approximate…

A: Answer

Q: 3. When is the function increasing and when is it decreasing? f(z) = re==z3)? xe 2 f(x)=xe 4X2)

A: Solution:

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

A: Given,             fghx=1x2+2

Q: find functions f and g so that f ∘ g = H.

A: given: Hx=1-x2 we have to find the functions f and g so that f ∘ g = H.

Q: Find f(g(-3)), if f(z) = = , and g(z) = (z – 5)² %3D %3D

A:

Q: (@) Explain why f(z) = 5z"- 6+ Zcos z-z'e the function is entire?

A: To explain why the given function is entire, given function is: fz=5z4−6+zcosz−z3ez

Q: 1. What is the range of the function f (x) = 5x - 2? c. R = {ylyE R} d. R = {yly ER,y # -2} a. R =…

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Q: anel g(x)= |- Vã , Fino × =(Xつ f え a- fog and gof b- thei range and domain of fo9 3 9of.

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Q: Let f(x) = 2x + l and g(x) = 1 – X, Find the value of (fg) (3). Type your response

A: Product and divide of function

Q: 13) What is the domain of the function f(r) E ? %3D

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" =…

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

A:

Q: Siven that y = f(x) passes through (2, 1) and f'(x) = 3x² - 5x, find f(x). %3D

A: Given query is to find the function

Q: C.I f fX X-X (X-X)² f(X-X)² X2 fX2 d' fd' (d')? f(d')? 54 - 56 51 - 53 305.375625 305.375625 | 3025…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 17) What is the domain of the function f(x) = E, 6"z"? %3D

A: Given that fx=∑n=2∞6nxnTo find : Domain of functionSolution :fx=∑n=2∞6nxn=∑n=2∞…

Q: f(X) is a convex function, then ef(x) is also convex function. True

A:

Q: IS Tepresent A. Make a table for f(x). B. Make a table fo y y

A: We will find the table.

Q: St² 0<t< 1 f(t) = 10 t21 y" – 5y = f(t) y(0) = 0 y' (0) = 5

A:

Q: Describe the long run behavior of f(t) = – 2(5)' – 3 | As t → - 0, f(t) → ? v As t → 0, f(t) → ? v

A: The function of the form f(x)=ax, where a&gt;0 is said to an exponential function. The exponential…

Q: 1. For what value of x does the function g(x) --x + 2x strictly concave downward? %3D 3. B. x > 1 A.…

A:

Q: Find fxx(x,y), fxy(x,y), fyx (x,y), and fyy (x,y) for the function f. f(x,y) = 9x e 9xy fxx (x,y)=…

A:

Q: ☺ using the definition f'sx) = li fCxth)-fx) find f'(x) when fex) %3D 2x-3

A: The given function,    f(x)=72x-3

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

A:

Q: b Prove that: f(x) dx = F(x) =F(b)-F(a)

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Q: f(x)=x3+3Sinx tacos x, Find (f) (a) a=2

A: NOTE: Refresh your page if you can't see any equations. . take x=0 and check  so the point (b,…

Q: If is the function given by f (x) = | v² - t dt, then f' (2) = A в 2/12 D V12 E) 2/12 B.

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Q: ôf What is for the same function f = x*y+3y'z² ? ду X,Z

A:

Q: af , Given the function f (x,y) = 3x – x²y² + 2x°y, what is iTe ду А. 3 — 2ху? + бх?у В. - 2х3у +…

A: Given query is to find the partial derivative with respect to y.

Q: Calculate (a) r(4)F(3/4)/r(7/4) , (b) Factorial function x"e*dx = n!

A: Here, Definition of Gamma function is ∫0∞e-ttx-1 dt= Gamma(x).

Q: Use linear approximation to estimate f(4.9) given that f(5) = 2 and f'(5) = 6. f(4.9) (Simplify your…

A: Linear approximation of a number can be represented as , L(x) = f(a) + f'(a) ( x-a) Here in the…

Q: a) Find the domain and range of the function f(r, y) = Vy – 4+ SUTM 1 UTM x2.

A:

Q: 4 For what value(s) of x is the function f(x) 2x2- 6x | NOT continuous? A. x=0 andx= 3 B. x = 3 only…

A: We need to find points at which f(x)=42x2-6x is not continous.

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

A: given :

Q: Use the grapn of g(x) below to answer what follows 4 3 2 - 2 -it'23 4 5 4 1-

A:

Q: 4. The range of the function h(x)=0.5f(-x) +2 where f(x) = 4* is: A) {y eR|y>2} B) {yeR|y>0.5} C)…

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Q: Explain why the function f(z) = 52" -6+ ZcOsz - z'e is entire? %3D

A:

Q: Find function y= ga) a 26- Let fcx)= X- 2 so that (fo g9)) = x .

A: The given function is fx=xx-2. The main objective is to find a function y=g(x) such that f∘gx=x. It…

Q: QB3) Verify fxy-fyx for the function f (x, y) = 4x (Iny) + 4y (Inx) + (²²4 2²

A: We have to prove fxy=fyx for the given function.

Q: f(z) = z - 6z g(x) = Va Evaluate. f(g(25)) =

A: Here, f(x)=x2-6xg(x)=x are the given function.