x² – 4. the domain of f (x) = -is: 1s: x +3 0(-3,-2] (-2,2) (-3, -2|U12, 00) 12.3) U (3.0)

Q: 4 X- - 5x +4. %3D Find f'(x), f"(x), and f (x) for f(x) = f'(x) = f"(x) =

A:

Q: B. Find the domain of 1. h(x) = V(x - 2) (x 2 -2 x + 1) 2. (x – 1)(x + 3) 1. 3. If f(x) = -1 and…

A: h(x) = (x-2)x-2 ≥ 0 because square root of -ve number is not defined or a imaginary number.x-2 ≥ 0 x…

Q: 4. Find the domain of the following functions: 10 (a) H(x, y, z)= 1+x² + y² +4z² (b) K(w, x, y,…

A: A detailed solution is given below.

Q: x2 - f(x) Let k(x) = %3D 2x- 3 Find k' (-1), given that

A: Given:-k(x)=x2·f(x)2x-3f(-1)=-2f'(-1)=3To find k'(-1)

Q: Find all relative extrema in the function k(x) = (x2 – 4)-2 on the interval [-3, 3].

A:

Q: 3. Find the largest domain (in R2) for the function In(3 + y) 1- x + y f (x, y) :

A: Let's find.

Q: 7. Which is the domain of the function x + 8 + V3 – x – - 2 5, f (x) = Vx +7+ Vx + 3 ? (-0, 3) – {2}…

A:

Q: 0 <x<1 (1-x + 2 (x² – 4 (2) Find all the points of discontinuity of the function S(x) ={x+2 1<x< 3 x…

A:

Q: (5x – 6) (2а — 5) (ӕ — 3) 5х — 6 - Let f(x) = 2x2 11x + 15 - - 1) The domain in interval notation is…

A: As per Bartleby guidelines rule we have to answer only 3 sub-part of a question.

Q: 3. GIVEN: ƒ(x): 2x2 – 3 xs2 (8x-11, x>2 DISCUSS THE DIFFERENTIABILITY OF THE GIVEN FUNCTION AT x = 2…

A: Given query is to determine whether f(x) is differentiable at x=2 or not.

Q: f(x, y) = e-(x²+y²)(3x² + y²) Calculate the extreme values of the function: = e-(x²+y²) (3x²+ y?)

A:

Q: 7 Determine a value for r so that h(x) x + rx² – 7x has an inflection point at x = 5. 2 -- |

A:

Q: 10) Use the graph of y = f (x) shown below to describe the concavity in the graph of y = f (x) on…

A: Given information: The graph and the concavity in the interval [0,4]

Q: -3 f( x = 3 – 2 e7, — 2 е -3 18 12 - е z 1. Find domain of f(x)

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Consider the function: f(x) = x2 – 4x + 9 Step 1 of 2: Find all critical points of the function.…

A: Critical point: A critical point of a function is the point x0 in the domain where the function is…

Q: 0st<3 -t, 4. Find the convolution of f(t)={2' 0, otherwise 4, -1<t<3 and g(t)=- |0, otherwise…

A: Given:-            ft and gt                 = f×g = ∫-∞∞f t - τgτdτ.…

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: 2x 10) Consider f(x) = 3-4 on the interval [2,6. Find the maximum and minimum values of f(x on the…

A: The given function is,

Q: Q2:- (x²-9 | X # -3 A) f(x) x+3 %3D -6 x = -3 Is f cont. at x =-3 ?

A: Continuity of function

Q: 9. Find (f g)(2) for f(x) = 3z and g(x) = 5-z. %3D %3D O A. 322-15æ? O B. 3x- r+5 O C. 3x-30x +75…

A:

Q: x+2 Determine the (x,y) location of the hole for f(x)=- x² - 4

A: Holes occur when a duplicate factor is cancelled in the numerator/denominator of f(x).

Q: (2) GIVEN: f.R- R, Sx) = x²(3x– 1). Find f'(x) in factored form.

A:

Q: f"(x) = 20x3 + 12x2 + 4 with the initial conditions f(0) particular f(x). = 8 and f(1) = 5. Det

A:

Q: The function f(x) = 2x³ - 36x² + 162x - 10 has two critical numbers. The smaller one is x = and the…

A:

Q: Let h(x) = f(x)g(x). If f(x) = -5a2 +5x- 4, g(2) = 3, and g'(2) = -4, what is h'(2)? %3D %3D Provide…

A: Find the derivative of h at x=2

Q: 5/A) Find for the function dx V2x - 3 (x+ 2 y =- V3x - 2 Find the Domain of the following function x…

A: We have  y=2x-3x+223x-23 differentiate with respect to x dydx=ddx2x-3x+223x-23

Q: 3. The function f(x, y)= 8x' - /4x° +3y° is homogenous in x and y of degree 4. The function f(x, y)…

A:

Q: 3 2 y X-3x-x t3 From X = -1 to X= 8

A:

Q: (2x² - 2x 4 B) For what values of k and h is y={ k + 2x 2 + hx2 - 2 < x<-1 - 1<x< 2 2 <x<4…

A: B) Given, y=2x2-2x-4, -2≤x&lt;-1k+2x, -1≤x≤22+hx2, 2&lt;x≤4 and also continuous at x=-1, 2.  We have…

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: (4x + 42x)(x + 7) - (x* + 21x") - 2(x- 7)2x (x? + 7)* (G) f"(x) = 14x(21- x*) (x +7) %3D Since f"(x)…

A: Finding the points of inflection

Q: 1+x2 1. Describe the domain of f(x, y) = Vx2+9y2-1"

A:

Q: x")' = a xa-,(x)'=1 and (constant )'= 0. %3D x+2 Using Quotient Rule (£)' = f'g-fg') x-1 A) 2x/…

A:

Q: Find g'(4) given that f(4) = -1 , f'(4) = -2 , and g(x) = Vãƒ(x).

A: Use the product rule to find the derivative of the function:

Q: x2 What are the critical numbers of f(x) : -? select all that apply. X- 1 A) x = 1 B) x= -1 c) x= 2…

A:

Q: 1- x 0<x<1 (2) Find all the points of discontinuity of the function S(x) = } x +2 1<x<3 x 2 3 (x² –…

A:

Q: 7x-9 22 97 if x 1 Determine if g is continuous on [ 0, 2 ). (Please indicate solutions in your bond…

A:

Q: Q 2/ find the value of (k) to continue the function (Vx+1-V2x f(x)= x2-x x = 1.

A: For continuity of function  Lim of f(x) at x=1 should be equal to k

Q: 9. Find the c value(s) that satisfy Rolle's Theorem for the function f (x) = x³ – 2x2 – 5x + 6 on…

A: We have to find the value of c the solution is following

Q: -5-k -5 If L f(x- k)dx = 1, compute f(x)dx. %3D 3-k 3

A:

Q: 02. Find the end behavior for y = x–9x+20. A. x + +0, f(x) → +∞ ; x → -o, f(x) → +∞ B. x → +0,…

A:

Q: f(x) : == - x2, with domain [2, +o) %3D

A:

Q: -. g(x) = Vx + 7 i. Domain: (-7,00) Preview x + 30 . h(x) : 4 - i. Domain: (-30,4)U(4,00) Preview

A: Given query is to find the domain for the function.

Q: 3 f(x) 2dx=-3, [(g(x)-2)edx = 1 [2g(x)xx =10 and f-g(x)h =-1.2 Let 4 -2 Find [(f(x)-3)cdx

A: Given : ∫-24fx4dx = -3, ∫-20gx - 2dx = 1 , ∫432gxdx = 10 and ∫04-gxdx = -1.2   To find :…

Q: 4 4e | f(z) = as x approaches 0 using the table of values? !! I. II. -1 -0.5 -2 -0.1 -1.5 -0.01 -1.1…

A: To find the limit at x tends to zero. We need to find limit near to the value x=0 There are four…

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 all points of discontinuity. 17/11 a) f (x) = - x-23 x²+5x-2 b) f (x) = ? x²-9 x²+6x+9 c) f…

A: Solution

Q: 2. The function f is defined by f (x) = x²e-z'. At what values of does f have a relative maximum? A…

A: Differentiate f(x)=x2e-x2 with respect to x and equate the first derivative to 0 to find the values…

Q: 2х—4 -? x² - 5x 8. What x-value(s) are excluded from the domain of f(x)= 2

A: Domain  set of all input values where function defined

Q: 3. 3 Z =6x,-Xg + X, + X, find the endpoints of the function

A: Given fx1,x2=6x1x2+x13+x23 To find the endpoints of this function: The endpoints are given by the…

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.