Q1) Find the local extreme values of the function: f(x.y) =4 x2 - 6xy + 5 y?-20x + 26y

Q: Find the x-coordinate for the point of intersection by using f (z) = 2z + 6 g(z) = -3z +1

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Q: Find the local extreme values of the function: f(x,y)=xy-x^2-y^2-3x-3y+12.

A: It is given that, fx,y=xy-x2-y2-3x-3y+12We have to find the local extreme values.

Q: nd the absolute maximum and minimum of the function f F(x,y) = yx² where - 2<x<2 , -1<y<1

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Q: Does the function y = e-3t satisfy the following differe y" + y' + 12y = 0

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Q: -3r 10 f(x) : r2--20 C, r= 5 What value of C would make f(x) continuous at r 5?

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Q: Given a function f(x,y,z) = 2x2 In (6y + 3z). Find the range of the function.

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Q: + The Range of y [2x + 1] is Z. TO FO

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Q: 2. (a) Define what it means by for y = f(x). %3D

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Q: Q6: Find the local extreme values of the function: f(x, y) = x2 + y² – 6y + 5

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Q: The Range of y = [2x + 1] is Z, T O F

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Q: Find the equation of the line that is tanget to f(x)= 1/x at the point (2,1/2).

A: We need to find the equation of the line that is tangent to f(x) = 1/x at the point (2,1/2).

Q: Given the function f(x) = x(x – 3)(x + 2), find 1) its y-intercept: 2) its x-intercepts: 3) As x →…

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Q: Determine the range of the following functions. Express your answers using interval notation y =…

A: The graph of y=3x2, -2≤x≤2 is shown below:

Q: find the specific function values. ƒ(x, y) = x2 + xy5 ƒ(2, 3)

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Q: Find f'(2) if y = f(x) is the nonnegative function defined for x, y > 0 by the equation x" = y?.

A: To find f’ (2), if y = f (x).

Q: gubanaT .X 41! J, Ca TTungJ. Given the function m : x→ 3x – 1, and x > TF functions mh : x→ 4x - 3,…

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Q: Find the domain of the function f(x, y) : Vx2 + 8y2 – 5.

A: follow next step

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: Q2) Find Fxx, Fyy and Fyx For the function F(x,y) = (x+y) (y + 1)* .

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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: For the function f(x,y) = 3x2 + 7y2, find the following. f(x +h,y) – f(x,y) а.

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Q: 2. Find the domain and range of the function y = Vx + 4

A: We Know that  Domain: The set of all points over which a function is defined. Range: The set of…

Q: Find the values of ôf / ôx at the point (4,-5) if f(x, y) = x +3xy + y-1

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Q: For the function y = f(x) = x² – 2x, x x ≥ 1, find (ƒ-¹) '(3) = df-1 dy y=3

A: We have to find the f-1'(3).

Q: of af For the function f(x.y)= 7x-9y- 3, find and dy

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Q: tis the value of f at the point (-1,1)? :When x=-1 and y=1, we have z=1.)

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Q: For what values of  r does the function satisfy the y =  e rxequation  y"  + 6 y'   + 8y  =0?

A: Given function y=erx To find value of r which satisfy the equation y"+6y'+8y=0 Solution:…

Q: The range of the finction f (x, y) = lIn(-x²- " + 1) is (0: +00)

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Q: Find for the given function. w= 10z2 e?

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Q: For the function y df-1 f(x) = a? – x + 2, x > 0.5, find dy y=10 (f-1)'(10).

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Q: If f(y) = V4 - 7y, find f'(y). Use exact values.

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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: Find the local extreme values of f(x, y) = 3y² – 2y³ – 3x² +6xy

A: According to Second Derivative Test for Local Extreme Values Suppose that f(x,y) and its first…

Q: Q1: Find and : for the function f(x,z) %3!

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Find the extreme values of the function x²y with respect to x + y = 5

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Q: Q1) Find fyxx of the function:

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Q: Find the local extreme values of the function: f(x,y) = x² + y? - 6y + 5

A: We need to find the local extreme values of the function f(x, y)=x2+y2-6y+5. Here,      ∂f∂x=2x…

Q: Find Vf(x, y) for function f(x, y) = 5-- 50

A: We have to find the gradf or del f(x,y)

Q: Use Desmos to graph 1) y= Vx, 2) which is -f(x) 3) which is f(-x)

A: Hello! Thank you for the question. We will answer the first question since the exact one wasn't…

Q: 1. Plot the function f(t) = (x+5) %3D 4+3x2 for -35 x 5.

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Q: The Range (Ry) of y = v9 – x² is : - a. [0.] b. (0,3) C. [0,3] d. (0,9)

A: Given that y=√(9-x^2) To find The domain of y.

Q: Let f(y)=√y and g(y)=y+1 find? f(g(4))=?

A: Given: f(y)=√y and g(y)=y+1   To determine: f(g(4))

Q: 2 Ax, y) = V 16 – x – 4y²

A: Given function  fx,y=16-x2-4y2fx,y=16-x2+4y2 Domain pf the function  16-x2+4y2≥0x2+4y2≤16x216+y24≤1…

Q: Find all the extreme values and their types from the function f defined by f (x, y) = 2y3 + 2x3 -…

A: Given: f (x, y) = 2y3 + 2x3 - 3xy2 - 12x

Q: The domain of the function f(x, y) = 3x + xy + 5y? is R.

A: We have to verify that the domain of the function fx,y=3x+xy+5y2 is R or not.

Q: Q4: Find and classify the extreme points of f (x, y) = 3x?y + y3 -3x2- 3y2 +2.

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

Q: Consider the function f(x, y) = 4x² – 8y² subject to the condition x + y = 25.

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Q: 19. Given the following functions: y = 8x – x2 and y = 3x %3D | Find their points of intersection.

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Find the extreme value of the function f(x,y) x + y3 - 3x - 12y + 20.

A: To find extreme points of the function f(x,y) we put fx=0 and fy=0. Then we put the extreme points…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.