Given the function P(z) = x(x – 8)(z-6). %3D Its y-intercept is the point Its a-intercept(s) is/are the point(s) As z 00, y As z - 00, y→

Q: Q5|| Find all the local maxima, local minima, and saddle points of the function. f(x, y) = x2 + 2xy

A: Ans;  given function               fx,y =x2+2xy

Q: Find the maximum and minimum value of f(x,y) =x3+3xy2-3x2-3y2+4

A: fx,y=x3+3xy2-3x2-3y2+4   fx=3x2+3y2-6x   fxx=6x-6   fxy=6y   fy=6xy-6y   fyy=6x-6

Q: Find the values of x for which  f(x)=(1/3)x3 +(5/2)x2 +6x-17 Has a tangent line that is parallel…

A: As the line is parallel, slope of them will be equal. Slope of f(x)=x33+5x22+6x-17 will be :…

Q: The horizontal asymptote of x + 5 f (x) = x2 is the line with equation O a y = 1 b y = 0 C X = 1 d.…

A: Given a function f(x)=x+5x2 To find the horizontal asymptote of f(x)

Q: Given the function g(x) = (x – 1)(z + 2)(z - 3) its g-intercept is its -intercepts are

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Q: The function y=f(x) satisfies the conditions y(0) = 1 and y'=xy³/4. What is y(1)?

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Q: Q3/ Optimize the function Z = x + xị ? Subject to: x1 + x2 = 4 x1, x2, 20 Using Lagrange…

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Q: Find f(4) using forward, backward and central difference of : (3 – 2x)2 f(x) = x2 Step size = 02 %3D

A: We have to find difference .

Q: Find the local extreme values of the function ƒ(x, y) = xy - x2 - y2 - 2x - 2y + 4.

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Q: Q3/ Find all the local maxima, local minima, and saddle points of the function: f(x.y) = 7+ 2y² – 1

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Q: The function f(x, y) = -3y + 2√√ry is a

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Q: B. Find and classify the extreme points of function f(x, y) x* +y-4xy-1.

A: Maxima minima of two variables function

Q: Q1) Find the local extreme values of the function f(x, y) = 3y2 - 2y - 3 x + 6xy

A: We use second order partial derivative to find maximum, minimum and saddle points

Q: Find the maximum and minimum values of the 2x3 function f(x,y) = * - 2xy – 5x + 2y² + 4y + – 2xy –…

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Q: Find the relative maximum and minimum values. f(x.y)= 8xy-x - 4y

A: Given :f(x,y)=8xy-x3-4y2

Q: Q2) Find all the local maxima, local minima, and saddle points of the function: f(x, y) = x2 + xy +…

A: Let us consider the function f(x ,y), to determine the local maxima, minima and saddle point  Find…

Q: Q3/ Optimize the function Z = x + x ? Subject to: x1 + x2 4 x1, x2, 2 0 Using Lagrange multipliers.

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Q: Find p1 and p2, the prices per unit (in dollars), so as to maximize the total revenue R = X1P1 +…

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Q: The slope of the line tangent to the graph of f(x) = 15 – 3a2 at the point z = -8 %3D 48 96 O 12 O…

A: Solution is given below : Answer: 48

Q: Given the function P(t) = t(t + 5)(t – 2) its P-intercept is its t-intercepts are Add Work

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Q: Given the function P(x) = (x – 1) (x – 4) %3D | Its y-intercept is Its x-intercept(s) is/are

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Q: Maximise the function f(x, y) = 4xy² subject to r + y? = 2.

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Q: An object moves along a horizontal line according to s (t) = 5t° – 2t², when is V increasing and…

A: In the given question, concept of derivative is applied. Derivative The derivative expresses the…

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: Find the values of x, y and z that correspond to the critical point of the function: 23D f(+, у) —…

A: Given  z = f(x, y) = 2x2-6x-3y+3y2+5xy We have to find the critical point of the function.

Q: Q2) Find all the local maxima, local minima, and saddle points of the function: f(x, y) =x2 + xy+y2…

A: Solution of Q 2)

Q: For the function f(x,y,z) = 3 + xy5 - 5z4, find fx , fy , and fz.

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Q: Q2: Find all the local maxima, tocal minima, and saddle points of the function f(x, y) = 12xy – 4x*…

A: using derivative

Q: Find the linearization for f(r) 10, and use it to approximate 12 near a=

A: We want to find the approximate value of 112 by linear approximation of the function ,fx=1x by…

Q: Find the relative maximum and minimum values. f(xy) = e 6x2 + 4y2 + 8

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Q: e4z f (2) = 27 + 38 at how many points the function f (z) is discontinuous ?

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Q: Find f'(4) using forward, backward and central difference of: (3 – 2x)² | f(x) = x2 Step size = 0.2…

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Q: n-intercept      (n, g(n))  =     13​,0           (larger n-value)

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

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Q: The derivative of the function y = 7x² + 12 – is: - 15 a) y' = 14x + x2 15 %3D b) y' = 14x + %3D c)…

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Q: x²-4x -5 flx)= 9-メ The x intercept with negative valke positive value 2. with x intercept is The 'Y.…

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Q: A molecule is moving along the x-axis such that at any time t 2 0 (in seconds), its position from…

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Q: df For the function y = f(x) = x² – 3x – 3, x > 1.5, find dy y=12 (f-1)'(12) =

A: Given  y=fx=x2-3x-3; x≥1.5

Q: Given the function P(x) = (x – 3)´(x – 8) Its y-intercept is | (3,0)

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Q: Q5: Find the max and min points for the function: F(x,y) = x2+xy2-4x+1

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Q: when f(x) is polynomial 44,8) Fie -16 f(x) = }x² – 5x + 26 compute the instantaneous slope at: (4,…

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

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Q: . Find all the local maxima, local minima and saddle points of the function below. f(x, y) = 2x³ +…

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Q: Find the critical point of the function f(x, y) = - 5 – x + 4x? + y + 3y? This critical point is a:…

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Q: of the function. + 3y + 11

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Q: B. Find and classify the extreme points of function f(x, y) = x + y - 4xy-1.

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Q: 2.Find all the maxima value of f(x, y) = 49 - x2 – y?, on the line x + 3y = 10 %3D ||

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Q: Given the function g(t)=(t−1)(t+7)(t−6) its g-intercept is ? its t-intercepts are ?

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Q: Given the function P(x)=(x−2)(x−4)(7x+1) Its y-intercept is   Its x-intercept(s) is/are     When…

A: Solution:-

Q: Use the graph of f(x) = ex to obtain the graph of g(x) = eX. %3D %D

A: