Emplain why the function f (z) = 5z- 6+ z cosz - ze² is entire %3D

Q: Approximate V128 by linearizing f(x) = VI about a = 125 . What is the result?

A: Given: 1283

Q: y = e2=²-x %3D

A: Solve the differential

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Given: R(x)=10000-x3+45x2+700x, 0≤x≤20

Q: (b) Using linearization, approximate f(-0.1, 1.8).

A:

Q: Describe the domain of the function f(x, y) = ln(7−x−y).

A: (18)

Q: Examine the function f(x, y) = −3x² - 4y² + 15x - 8y + 5 for relative extrema.

A:

Q: Find a function of the form y = Asin(kx) + C or y= Acos(kr) + C whose graph matches this one: is…

A:

Q: Hiw Find dy for the followng functions- 1-5x +X 2+x 3. y= lacsinfe}} %3D

A:

Q: Sketch the graph of the function. f(x, v) = y? + 7

A:

Q: which shows the function f(x)=7x after a vertical translation down 4 units

A:

Q: Find the domain of the function f(x,y)= exy/ x-y2

A: Answer-

Q: Find domain and range F(x,y)= Vx-1

A: Since you have asked multiple questions in a single request, as per policy, only the first question…

Q: Use the EVT to find the maximum and minimum values of the function f(x, y) = e4a-5 yʻ on the disc x²…

A:

Q: consider the function f(x, y) = e$in(æ)y Starting from the point (, 1), at which direction does the…

A: Below graph is the graph of the given function f:

Q: y= +1) %3D

A: Given y=x(x2+1)4 Differentiate with respect to…

Q: find the specific function values. ƒ(x, y) = x2 + xy4 ƒ(-1, 1)

A: Given: fx,y=x2+xy4, f-1,1 for finding given value we substitute x=-1, y=1 in given expression

Q: Maximize f(x, y) = 18 - x2 - y2, x + y - 2 = 0.

A:

Q: The function y = has a: a) local max of % b) absolute max of % c) local min of % d) absolute min of…

A: The given function is: y=1x2+4

Q: The main part of a trumpet has a shape given by rotating the function f(x)=1+x3/1000 about the…

A: The main part of a trumpet has a shape given by rotating the function f(x)=1+x31000 about the x-axis…

Q: Find and sketch the domain of the function In(x + y) f(x, y) 1– y?

A: From the given information. The function in x and y is as follows. fx,y=lnx+y1-y2

Q: Differentiate the function. f(z) = ez/(z-8)

A:

Q: df-1| For the function y = f(x) = x + 3x + 1, > 1.5, find dy (f-)'(3) = %3D

A:

Q: (a) Define what it means by for y = f(x). %3D

A: In this question we have to define the meaning of dydx for y=fx

Q: Fxy(x, y) is a monotonic and non-decreasing function of both x and y.

A:

Q: Differentiate the function y=xcosx  and y=(x+1)e2x.

A:

Q: Example:Find a²y as a function of t if x = t – t2,y =t-t3. dx²

A:

Q: Transform the solid black function to match the dotted function. y = (x)2 + O f(x+ +1 10 -18 9 -8 -6…

A: Solution: As we can see in the graph. The dotted graph  is shifting (6,-6)

Q: %3D 42. Find f(x) dx for each graph of y = f(x). (a) y. (b) y 2. 1. 3 aronh of flr) = 2x + 3 and

A: Given query is to find the valuebof intgy from the graph.

Q: d²y 2. Determine of the function y = dx2 x²cos (x)

A:

Q: h of the function, y %3D bel your axes clearly. (x)103

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Q: Differentiate the function. y= (2x-5) (1-x*)1 dy %3D xp %3D

A: Explanation and solutions is given below....

Q: Describe the domain of the function f(x, y) = ln(4 x - Y).

A: as per guideline i am answering one question .please give a like !

Q: How do you find the domain and range for f(x,y) = ln(x+y)?

A: The given function:

Q: determine the most general function M(x, y) or N(x, y) so that equation is exact.

A: We have to find M(x, y) Or N(x, y).

Q: Find a function y(x) such that 3yy' = x and y(3) = 3. y =

A:

Q: Find the extrema of f(x,y) = -2x² + y taken on the graph of x + y? = 0.

A:

Q: Consider the function f(x, y) = x² + xy - 5x- y+1. Then:

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Q: Differentiate the function. 18. y = Vx (2 + x)

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Q: Find locap and Saddle point(seg the function Ma ximum and Minimun Valyes 2. fCx,y> 3x² 9x+9 xy,

A: Given the function f(x,y)=3x3−9x+9xy2

Q: Differentiate the function. y = V x² + 2x %3D y'

A:

Q: Where does the relative maximum value off occur when f'(x) = x³ - x? (а). - 1 (b). 0 (с). 1 (d). 2 a…

A: Relative maximum

Q: Consider the function y= g(I)= -z² + 3c + 6,

A: The derivative of the function f(x) with respect to x is given as .

Q: fluu) is a function, fl13|=0 fal-1.31=2 ,fg(-1.3) =-3 glxiy.z)=f(xyz,xzyzz?) So Vg(1,-1,1)? %3D

A: Gradient of the function w=f(x,y,z)  is given by ∇f=∂f∂x,∂f∂y,∂f∂z Chain rule of derivative: Let us…

Q: Q3) State the approximation for a differentiable function f(x): (a) V51 (b) V123 (c) (33)

A: (a) 51 Linear approximation is obtained as Lx=fa+f'ax-a Consider the function fa=a. On…

Q: The function y = x³ + ax? + bx + c has a stationary point at (-3,12) and it passes through the point…

A: Since, the function y=x3+ax2+bx+c passes through the point (0,2)⇒2=0+0+0+c⇒c=2-(i)Also, we have been…

Q: Determine the extrema of the implicit functions: (2² + y² + z²)² = 1 – a² – 2², z = 2(x, y) | |

A: Given x2+y2+z22=1-x2-z2 Differentiate with respect to x:…

Q: 2. Sketch the graph of the function (a) f(x, y) = Vr² + y? (b) f(x, y) = Vx² + y? – 1 %3D

A: Given a. fx,y=x2+y2b.fx,y=x2+y2-1

Q: Differentiate the function. (Зу + 1)5 V y2 + 1 G(y) = In G'(y) =

A:

Q: y? For function f (x, y) x2+1 Starting from the point (1, 2), at which direction does the above…

A:

Q: Find the domain of the function.

A: Given function - f(t) = t-13For this function to be defined, the parameters inside the cube root…