3-x • The domain of f(x) = is %3D x² -1 1. R/{1} 2. R/{1,-1} 3. R/{-1} 4. (0, c0)

Q: - (4y" + fy) = -A with y(-1) = -2, y(-1) = 1, y"(-1) = 0 Use x1 = y, x2 = y', and x3 = y". x + with…

A:

Q: x-1 2. Find the critical numbers of f(x) =- %3D x +4

A:

Q: Find the horizontal asymptote of f (x) = 8-822-240z 3z-3z2 60z Section 3.4 Oy = Oy = 4 Oy= Oy= 0 Oy…

A:

Q: Minimize f(x) = x² + 54 ; using Interval halving method for 2 ≤ x ≤ 6. E= 10-³

A:

Q: 22. The function f(x) = Vx – 6 is transformed according to (x, y) → (7x – 7, - y+1). the transformed…

A: Substitute fx for y in the transformation and simplify. x,y=x,f(x)→7x-7,-f(x)+1=7x-7,-x-6+1

Q: The function f (x, y) = 3x3+y2-9x+4y is given. a) Find the critical points of function f. b)Do…

A:

Q: Find and classify the critical points of f(x,y) = 2 – x +2a2 - y². %3D

A:

Q: Find the critical numbers of the function: f(x) = x3 - 3x2 +1 %3D | Select one: а. X-0, х32 b. x=…

A:

Q: If f(3) 12 and f '(x) 2 1 for 3 sxs 7, how small can f(7) possibly be? Enhanced Feedback

A:

Q: 3) The function f(x) = e*(x² + x - 1) has derivatives f'(x) = e* (x2 + 3x), f"(x) = e*(x² + 5x + 3),…

A:

Q: 1 g(x): %D х2 — 2 f(x) = VIx| – 2 %3D - 1 1 g(f(x)) = |x| – 4 2 |x|– 2 – 2 (Vix| – 2) – 2 - - Dom…

A: SOLUTION:

Q: 3x-1 ind the critical points of the function f (x) = x+6

A:

Q: Q2) Find all local Extreme and Saddle points of the 2x-2y +y +4 function f(x,y)-xy-x-y

A:

Q: 21. Find div(F), where F(x, y, z) = xyzªi+x²zªj +4x²yz³k. a) -4xyz³+xz4 b) x²y+xz4 c) yz + 3x²yz² d)…

A: Topic = Algebra Correct option = d

Q: Consider an experiment in which a subject performs a task while being exposed to two different…

A: It is given that fx,y=C+xye1-x2-y2, where C is a positive constant. To find the maximum performance…

Q: Q.4. locate the critical points of the function f(x)=x*(x-1)³ and identify critical points which are…

A:

Q: f (х, у) %3D у3 + 3x2у - 6х2 6y2 + 2 function is given. a)Find your critical points of f. b)Find all…

A:

Q: Maximize f(x, y) = 3xy Зху subject to x + y = 1

A:

Q: 3/3x 2/3x 1 Find all possible critical numbers of the function f(x) = - 2.

A:

Q: Vx2 +1 – Vx² – 1 y = Vx² +1+ vx² – 1 2.x3 dy = 2x - d.x - - show that Vx4 – 1 -

A: Given: y=x2+1-x2-1x2+1+x2-1      ......(1) To Prove:  dydx=2x-2x3x4-1      ......(2)

Q: Find and classify the critical points of the function f(x,y)=y^3 +3xy−x^3

A:

Q: 11. If f(r) = rª and g(r) = r³, then f' (x) = 4x³ and gʻ(x) = 3x². The Chain Rule multiplies…

A:

Q: 1. Find the relative maxima and minima of y by the second-derivative test: (a) y = --2x? + 8x + 25…

A: Consider the provided question, According to you we have to solve the part (b), (c) and (d). (b)

Q: -5-0 using Iterative fixed-point method by 2. Find one root of f(x) x+ choosing initial value as -2…

A: Given that fx=x3+4x2-5=0 To use iterative fixed point method to find one of the root of the above…

Q: 3. Find the fixed point(s) of f: [1, ∞)→→ [2, ∞) defined by f(x) = √²+x.

A: 3) To find: fixed points of f:[1,∞)→[2,∞) defined as f(x)=x2+x.

Q: 5 Find the point X to minimize the function f(x1, x2) =1+¤1 +2x2+ from the strating point X, = using…

A: We are given the following optimization problem : f(x1 , x2) = 1 + x1 + 2x2 + 5/x1 + 10/x2 And we…

Q: 7. What does the critical point(s) mean to the graph of the function? Determine the critical…

A: Critical points of graph of function points on graph of function where derivative is zero or…

Q: xsin 1x Vx+1 2tan-x Vx+1 2tan-1x QI) Find of y=: e2x+1

A: We will find dy/dx as following .

Q: f(x, y) 3xy-x² - y²

A: See the details solution in below

Q: The function f(z) 2x-36z+120z-8 has two critical numbers. The smaller one is x = and the larger one…

A: A critical point is a point in the domain of the function where the function is either not…

Q: The curve y = ax³ + bx² + cx + d has a critical point at (-1,3) and has a point of inflection at…

A: We are asked to which is true for the given condition  Note: Critical points are points where the…

Q: 5. Find the maximum and minimum values of the function f(x) = x e-2a on the interval [0, 1].

A:

Q: The function f(x) = 3 x4-4 x3-12 x2 +1, is decreasing on the interval OA (-00,-2)U(0,2) OB…

A:

Q: 4. a) Solve the equation 5sin-'x- 2n = 2sin-'x-3n 6) Graph, find x where f(x) = g(x), bounded by…

A:

Q: 3. x - y=t + 3 4. x = VT-T; y =t- 3t 5. x = vE + 2; y = t² - 3

A:

Q: II- Find the local maximum and minimum values and saddle points of the 3y? 3xy - 2 function f(x, y)…

A:

Q: f(x) = lim (6x + 2 4x + 3) = 6x + 3 Ax-->0 f (x) = lim (6x + 2 4x + 2) = 6x + 2 %3D 4r-->0 f (x) =…

A:

Q: The point (0, 0) is the critical point of the function f(x, y) = Select one: O True O False x²y 2 +…

A:

Q: 3. show that (-3,-2) is a critical point of f(x, y) = x³+3x² - 9x + y - 12y. Use the fact that the…

A:

Q: 2 The function f(x)= (x² – 1) ³ , is decreasing on the interval (- 00,-2)U (0,2) AO (-1,0) U (1, ∞ )…

A:

Q: 2x³4 Q1 Investigate the limiting behavior of_f(x,y)=- x4+y² as (x,y) approaches (0,0)

A: Along x=0 f→0y2=0

Q: x+2 Find the linearization of f(x) = 6 - 21 dt at x=4. 1+t 6

A: Given a function f(x) at x=4 We have to find the linearization of f(x) at x=4 For solving this 1st…

Q: maximize f(x,y)=xy subject to the contraint 6x+y=18  the last question is what is the maximum valye…

A: max . fx,y=xyS.t 6x+y = 18     6x+y=18⇒ 6x+y-18=0∴ gx,y=6x+y-18=0    Fx,y,L=fx,y-L g x,y⇒…

Q: Minimize f(x1,x2,*3) = (x1 – x2) + (x2 - x3)* subject to 8,(X) = x,(1 + x) + x - 3 = 0 -3 < x; s 3,…

A: Given: Minimize fx1,x2,x3=x1-x22+x2-x34 subject to g1x=x11+x22+x34-3=0 -3≤xi≤3,i=1,2,3.

Q: 2. Find all critical numbers for the function: g(x) = x/2x +1 B. 0. ÷.글 1 1 А. - - | 2 3 2 c. - D.…

A:

Q: 5. Find the local extreme values of f(x, y) = x²y on the line a +y = 3.

A:

Q: b) domain {x e R, x 2 4}, range {y e R} c) domain {x e R}, range {y e R, y -2}

A:

Q: 4. The function f(x, y)= (x² +2y² )exp| . +8xy is homogenous in x and y of degree 5 The function…

A:

Q: 4. Find the absolute extrema (abs. max and min) of f (x) = x2 - 8x - 1 on the interval [1, 10].

A:

Q: Find the critical numbers of the function f(x) = 2x -15x2 +36x- 24. O a. -2 and -3 O b. 2 and-3 O c.…

A: