The shaded region is a domain for the function A) f(r, y) = V4 -2-+V-2+Fy B) f(r.y)= V-2-+V -r+V %3D C) f(r.y) = V2+y-4+V-+V-y D) f(r.y)= v4-2-y+ v -y? E) f(r.u) = V4-2-+ V -

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: -0.11 If C(t)= 18.5te measures. the concentration, in of a drug in ng F ml a person's system t hours…

A: Given that Ct=18.5 te-0.1t measures the concentration of a drug in a person's system t hours after…

Q: If f(x,y,z)=x²y³-y²z³ Then f;= -3y²z2 Jlgn

A:

Q: e. domain: [-3, 1)U(1,3]; range: [-2,4) 8. Let f (x) =x² . Find and simplify the indicate %3D 2. fy…

A:

Q: 1. For the function f(x, y) =√x²-y-1 a) Find and graph the domain of the following function. b) Make…

A: (a)  Domain of f(x, y)  is  (see the denominator)          and   Domain of f contains those points…

Q: Home work/Find the domain &range of the following function: a) y=-r b) y =

A:

Q: The lines y where = and y = MON 5x - 7 and y = 2x + 8 intersect at the point (x, y) N

A: To find the intersection of given lines.

Q: Find f.(x, y) and f,(x, y) for f(x, y) 3x3 + 8y? – 6x + 4y and evaluate each at f(4, 5). f.(x, y) =…

A:

Q: 11. State the inflection point of f(x) = Vc-7+8. O A. (8, 7) B. (-7, -8) O C. (7, 8) O D. (-7, 8)

A: Point of inflection

Q: 11. The point (9, 16- A. (3,4)

A: y=f(x)after transformation y=f(x)(x,y)→(x , y)(9,16)→(9 , 16)=(9,4)

Q: State the open interval where the graph is concave up. f(x) = - 6x³ - 36x² + 6x A) (-6,∞) E) (-2∞)…

A:

Q: R(w) = + Vw+5. 3w – 2

A: Domain = ?

Q: 5. State the domain and range of each function. a) y = 2x- 1 b) y = -3(x – 4)² + 1 c) y d) y = V-3(x…

A:

Q: 9. Determine whether the function is linear, constant, or neither x + 3 OA A) Linear B) Constant C)…

A: Given query is to find the type of the function.

Q: 2 The Range (Ry) of y = v9 – x² -

A:

Q: What is the point of intersection of the two functions? 12) y--3x-23 -2r+4y-6 A) (-2, 3) C) (-3, 2)…

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Q: Q/ Let x~P(m) and let y = 5x , find the p.d.f of y

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Q: Let f (a, y) — 5x? — 8ӕу + 2у - fy 10х - 8y 4y -8х + 4y 10х -8х + 4у

A:

Q: 2 f: TR² x R² → R f (x, y) = 1 (2ax₁ y₁ + bx₁ y₂ + bx₂y₁ +2Cx₂4₂) 2 Examine whether the function is…

A: Given :   fx , y =122ax1y1 + bx1y2 + bx2y1+2cx2y2 To check : whether  f(x ,y) is 2 - linear  and…

Q: 4. Make a table for each function in Question 3. a) у3 3х- 1 b) y=-0.5x + 2 c) y= 2x y y y 1 1 1 2

A:

Q: Given the function X- 二メ (x+2)(x-) with (x+2)³ (X -1)³ Find any X and Y intercepts 3 8.

A:

Q: 3) "Lots of Toys" is a company that has a revenue function of R(x) = 50xe-002x dollars, where x is…

A: Given that "Lots of Toys" is a company that has a revenue function of

Q: Q1/Find the domain and range for the functions. a) y=x'cos()seC{x) +1 b) y= P+2+1

A:

Q: If f.(x, y) = 13x + 8y + 11, || f.(3, 2) = a. b. f„(5, 2)

A: Given, fx(x,y) = 13x + 8y + 11 a). fx(3,2) = 13*3 + 8*2 + 11 = 39+16+11 => fx(3,2) = 66

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.