Question 3 differentiable. Mathematically show why it is not. For each of the following, find all points (if any) where the function is not a) f(x) = \a| – |x - 1| 2x-1 if x<=1 if x >1 b) f(x) =

Q: Question 8 If f(x) is a constant function. Then for any real number a f(a + h) – f(a) lim h 0 =0. h…

A:

Q: QUESTION 3 The function r(x) is defined as follows: - 2x, x<-1 r(x)= 3x, x2-1 Determine whether r(x)…

A:

Q: Question 2: Check whether the given functions have at least one solution over the given intervals by…

A: Intermediate value theorem Theorem States that if function is continuous on the interval [a,b] and…

Q: Question 3 The domain of f (x) = V3x – 1 + 5 is {x | x 2 }. O True False

A:

Q: Question#4: A box with an open top is to be constructed from a rectangular piece of cardboard with…

A:

Q: Question 3 Given F(x) = VVx – 1, find functions f, g,h such that F = f °go h.

A:

Q: Question 15 Given the function f(x) =4x- 39x2+90x +2 which of the following describes its absolute…

A:

Q: Problem 8. Let f(x) be a differentiable function and suppose that f(2) = 4 and f'(x) > 6 for r in…

A: you can clearly understand if you follow the below solution

Q: Question 2 Consider the following function f (x) = |2 – x| - |x – 4| On which of the intervals is…

A:

Q: Question 3 (a) Find and classify all the extreme point(s) of the function f (x, y) = x* + y³ + 32x –…

A: To find and classify all the extreme point(s) of the function f(x,y)=x4+y3+32x-9y

Q: Question 11 Find a value for a so that the function f(x) is continuous. f(x) = x2 +x+a, x<-2 x2-2 a…

A:

Q: (Question 2) Consider the function x+3 x²-9 x # -3 g(x) = :- X = -3. 6. Find the intervals on which…

A: The function doesn't have a defined value when the denominator becomes zero. The denominator becomes…

Q: Question # 3 3x² + x ((x)= 2x If for x +0 (5(0) = k , and if f is continuous at x = 0, then k = (A)…

A: Solution:- The given function is  f(x) =3x2+x2x       for x≠0f(0)=k          f is continuous at x=0…

Q: Question 12 Find the local extreme values of the function f (x, y) = x² + y² – xy 8 -8 O 4

A:

Q: Question 3 At what numbers is the following function differentiable? 1- 2x, if x 1. f(x) = { r?,…

A: For the solution follow the next steps.

Q: Question 22 x + 2, x<4 Consider f (x) = { cx + d, 4 < x < 6 . x2 + 3, x 26 Determine the values of c…

A:

Q: A Graphs A and B are approximate graphs of f and f for f(x) x2 So f is increasing (and f is…

A: Using f(x)= x^2-2x+3 we find the f'(x).f'(x)= 2x-2

Q: Question 9 Let f(x) f-¹(x) = 1 2+8

A:

Q: Question 1 Let f(x) = 1 – xe(1-2). (a) Show that x = 1 is a root of f(x) with multiplicity 2.

A:

Q: Question 5 Given the function y = f (x) defined at all real values of x. Let x = 2, 3, 5 and 7 are…

A:

Q: Question 2. Find values of x, if any, at which f is not continuous. 3 f(x) x-1 %3D

A:

Q: Question 2. Given that f'(x) = 4.x(x² + 8)-1/3 and f(0) = 0, find the function f(x).

A:

Q: Question 4: If you are given f(x) as follows: 1 if x -2 2 Show that f(x) is continuous at x = -2 ?

A:

Q: Question 6 The domain of the function f(x)=√-4x+12 consists of one or more of the following…

A:

Q: Question.4 (a) Use a graphing utility to estimate the absolute maximum and minimum values off, if…

A:

Q: Question 11 a / f(x) dx: f(x) dx a True False Question 12 If f'(a) = 0, then the function f must…

A: Here we have to use the concept of integration and derivatives.

Q: Question 1 Consider the function below. f(x) = ex/x (a) Find the intervals on which f is increasing…

A: Explained below

Q: Problems: (1) If f and g are continuous at x,EDf ). Prove that f +g is continuous at x..

A: I have used the apsilon delta definition. It also possible to prove using sequential one.

Q: Question 1 • Let f(x) =1 – xe(1-z). (a) Show that x = 1 is a root of f (x) with multiplicity 2.

A: a. we have f(x) =1-xe1-xnow use the expansion of…

Q: QUESTION 1 A quadratic function f(x) = x³ + 3 x2 + 4 x + 3 has an inflectional tangent y = 2 x + 2…

A: Given : f(x) = x³ + 3x² - 4x + 3

Q: Question 4. Continuity Exercise 2.5, Problem 26 a. Show that f has a removable discontinuity at x =…

A: We have to show f has removable discontinuity at x=3 and find the value of c

Q: Question 1 (50%) Given a function f(x) = where x ε R. (a) Determine f' (x). (b) Determine f"(x).…

A:

Q: Question 1 1) Suppose that the function f is defined piece-wise as follows: f(x) = 4x² 3 whenever a…

A:

Q: Question 1 The domain of the following function f(x.v) = In(x-v+1) is given by the equation:

A:

Q: Question 9. Consider the real functions: r2 - 4 f(x) :- х — 2 g(x) = x + 2. Are these functions…

A:

Q: QUESTION 6 Given the function f(x)=4x- 39x2+ 90x + 2. which of the following describes its absolute…

A:

Q: Question no 4 a) Let's find all extreme points and graph of f(x) = on the interval -2 <xS 4.

A: To find extreme points of f(x)=x2/3 on interval [-2,4]

Q: Question 4 Here is the graph of a function f(x). f(x) 2 4 5 Where does f have a local minimum, that…

A:

Q: Question 14 If f(x)=x²-2x- 3, then on which of the following intervals is f increasing? dx

A:

Q: Question 2 x2 – 1 x5 Choose all that apply. A [-5, 5) [- 5, 5] (- 6, – 4) [5, + ∞) (E) (- ∞, - 5)…

A: Topic continuity Of a function NOTE -AS per bartleby Guidelines, we are supposed to Solve Only first…

Q: Question 2 If a function f is continuous at 0, show that g(x) = f(x) is differentiable at 0 and find…

A:

Q: Question 8 Suppose that H is a function of r satisfying H'(0) (1+-). N H" (r) – aH'(r) = 0, H'(0) =…

A: Given second order homogeneous differential equation : H''r-aH'r=0, where H is a function of r. To…

Q: Question 4. Given f(x) = x²/6 – x² on the interval [-V6, v6), find the intervals where f is…

A:

Q: QUESTION 1 Given the function f(x) = 2x + 1 and g(x) = 3 - kx, find a) f(2) b) f-1(x) c) the…

A: We will find answers to all 3 parts as folllowing.

Q: Question 29 y = 0 is in the range of the function fS(x) = (x + 1)² + 1. Question 27 The function…

A: This is a multi part questionIn our guidelines, we need to solve any three of the following…

Q: Question 8 3 (2x+4)³-8 } is

A:

Q: Question 10 Given the function f(x)=4x3-39x2 + 90x + 2. which of the following describes its…

A:

Q: Consider the function if a € Q f(x) = -x if r ¢ Q. Prove that f'(0) = 0. Hint: The fact stated in…

A: Topic- application of derivatives