1-x2 1-x2-y2 dxdydz Evaluate * V1-x²-y²-z²

Q: 3. are The set of critical numbers of f(x) = 3 x3+ 2

A:

Q: 1+ In x critical point of y =

A: Critical points are found when the first derivative of the function is equal to 0 or when the…

Q: 7. Using Lyapunov functions, show that the origin is unstable for the ODE i = -x3 ÿ = -y3

A: The solution is given below

Q: Show that ⊢ (x > 0) y = x + 1 (y > 1)

A:

Q: Assume that the entire sample has 2 positive observations and 6 negatives observations. Variable X1:…

A: Information Gain for an attribute A from sample S in decision tree is given by, IG(S, A) =…

Q: Let f(x)=6√x−8x for x>0. Find the critical numbers

A:

Q: Find f"(x). 13. f(x) = x³ – . 3 14. (x) = x* + 15. f(x) = x'/5 16. f(x) = x'/3 17. f(x) = 2x-2 18.…

A: As there are multiple questions 13 is solved here.

Q: 4 ,5 Let f(x) = 7x* In(x) f'(x)

A:

Q: B. Find the extreme values on the given closed interva 1. f(x) = 4x - 3; [1,5] 2. f(x) = x + 8;…

A: follow next step

Q: In Problems 23–38, for the given functions f and g, find:(a) f ∘ g (b) g ∘ f (c) f ∘ f (d) g ∘…

A: In Problems 23–38, for the given functions f and g, find: (a) f ∘ g (b) g ∘ f (c) f ∘ f (d) g ∘ g…

Q: 5. Differentiate using quotient rule: x+2 y x-2

A:

Q: 1 If f(x,y,z)= of then x-y-3-

A:

Q: theorem if Yet, I think I

A: 1. Ax=h+p 2.∀x.Ax 1.Universal Generalization on 3. Ax→∀x Ax  1,2 Introduction.

Q: find the critical number: F(x) = x^4/5 * (x-4)^2

A:

Q: 0.2 Differentiate In x+1, with respect to x. x²-x+1

A:

Q: 1) Find the extrema and possible points of inflection (if any exist) of - In X X

A:

Q: 3) f(x) = x--x- 1; [3] [1, -1: 01.4 5) f(x) = 2x² - 2x -1; 4) f(x) = −x- - x + 1; [2, 1 x-1 6)…

A: Average rate of fx change over interval a,b=fb-fab-a

Q: Present a combinatorial argument to justify your answer. How many functions are there from {1, · · ·…

A: Consider the given information as, 1,⋯,n to 0,1

Q: Page 6 of 18 Previous Next 6) If f and g are given by, f(x) = x2 + 2x 7 and g(x) = x³ - 1, find (f -…

A: (f - g) x  =  f(x) - g (x)    = x^2 + 2x - 7 - (x^3 - 1)  = - x ^3 + x^2 +2x - 6 So option B is…

Q: Find the critical numbers of -W n f(x) = Vz? +z.

A:

Q: 15. Differentiate using quotient rule: x+2 y = х-2

A: Given, y=(x+2)/(x-2) Then,dy/dx will be

Q: as x -> infinity f(x) ->  as x -> - infinity f(x) ->

A: We find limit of f(x)  as x -> infinity f(x) ->    as x -> - infinity f(x) ->

Q: ve test to identify any critical points a these. -2 – 6y² + 12x - 36y – 87

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The critical points…

Q: bounded..by. 3 Find theared of thereyion. R and the line y.=x+2 2. 2. 6%=YG and the line y--x

A: we first find the intersection

Q: Suppose that f(2, 3,1) = 5, fz(2,3,1) = 2, fy(2,3,1) = 3 and f.(2, 3,1) = -1. %3D Then f(1.9, 3.3,…

A:

Q: (b). Find the bound for absolute error at x = 2.9 on the interval [x, x,], where x, = 2.25, x, =…

A: On the interval x0,xn where x0=2.25, x1=2.5, x2=2.75, x3=3 with n=3 along with the function…

Q: Continuous everywhere

A: The following are theorems, which you should have seen proved, and should perhaps prove yourself:…

Q: unction to model th model at x = 25.

A: The table is given with the data where x and y coordinate of the equation is given. a. The graph of…

Q: Choose the fund 10 9 10 10-9 -10 O {(-5,1),(-2,1),(0,1),(2,1)} O {(1, -5),(1,-2),(1,0),(1,2)} O f(x)…

A: Function

Q: erfind the first agd decond derivatives oh the funchan

A:

Q: Find the critical numbers of f (x) = x2/3-x

A: We will differentiate the function and equate it with 0. We will again differentiate it to check the…

Q: 4.x +1 1 with f'(x) = 1/ 56x2 - 156x + 115 14x – 19 - - 3. Let f(r) = and f"(x) 4 %3D 3 5 Vr2 – 3x +…

A: To find the points on which it is concave up or concave down

Q: 2x is an increasing function for x>0. 2+x Show that y = In (1+x)-

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: 4. Differentiate the function. (1) f(x)= in x (2) f(x)= In{x (3) f(x)= In- 2x²(x+2)³ (3x- 2) (4)…

A: HI there, At a time we can answer only one question. So, I have answered first question.

Q: Find all critical numbers of f (x) =4x³+3x²– 18x – 2 @ -- (A B -1 D) 1

A:

Q: Graph Y = In(x - 2), show critical points, where graph crosses the "X" & "Y" axes.

A: Consider the provided question, Given, Y=lnx-2 First we need to draw the graph.

Q: critical point of y = x² In x 2, 4 In 2 е, е? 1, 0

A: Given: y=x2 ln xTo find the critical point=?

Q: b) Let f(x)=(x-2/1-x be defined in [-1, 1]. Find the critical points.

A:

Q: The set of critical numbers of f(x) =x³ - -x²+1 , are 2 A O {0,3} {-/3,/3} .BO .CO {3,3-} .DO {0.1}

A:

Q: + 2x if xs -1 if -1 1 f(-4), f(-}). (-1), f(0), f(25)

A:

Q: Find the DOMAIN of 8z-24r-320x f (x) = 7z+28z2-315z Section 3.4 O + -5, 9 O+0,-5, 8 Ox+0,-5, 9 O…

A:

Q: 3x -. Select all that apply. x² – 1 Determine all the critical numbers of f(x) =

A: We need to find the critical number of f(x)=3xx2-1

Q: Differentiate: f(x) = x^7 (5 + 8x)^3 * %3D O f (x) = x^2 (5 + 8x)^6 (35 + 80x) O f'(x) = 8x^7 (5+…

A:

Q: function y= f(x) and f''(x) is + , what can we conclude regardin

A:

Q: Find the critical points c that correspond to local minima. (Use symbolic notation and fractions…

A: Given that: The equation of the polynomial function is f ( x) = 4 x 2 ( x - 2 ) + 6.

Q: 4. Verify Mean Value Theorem for the function 3x2 – 4x + 5 in [-1,1]

A:

Q: Find a root of the function f(x) = csc(3x-4) + In(x-2) - 3 from x = 5.7 to 6 using any bracketing…

A: This question can be solved by the help of bisection method.

Q: Show that cothx x+1 In X-1,

A: Solution

Q: he number of students that will register for Mat 108 next Summer: discrete continuou

A: Discrete data :  The data which can take only certain values , These values are specific not in…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.