2 For the real-valued functions f (x)=x´- 3 and g (x)= /x-4, find the compositionƒ °g and specify its domain using interval notation.

Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

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Q: Find the value k that makes the function continuous. (ka?, x > -2 f (x) kx + 18, x < -2

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Q: Find the value of k that makes the function continuous. Justify your answer. 2x – 1, x 2

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Q: Using the criterion of the first and second derivatives, find the graph of the function c) F(x) = x…

A: Topic = Functions

Q: For the function f(x) = -x-5x + 4x - 3, find: a. the critical values b. the intervals of increasing…

A: We have

Q: Find the functions and their domains. (Enter the domains in interval notation.) f(x) = x + 1/x,…

A: Given, f(x)= x + 1/x  f(x)= (x²+1)/x For the function to exist the denominator must not be equal to…

Q: 3 Determine the intervals for which the function f(x) = x° + 18x +2, is decreasing.

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Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: f(x)=ln 5x2+4x2+1

Q: Let f(x) = x^2 −x −2. Using the Intermediate Value Theorem, explain why this function has (at least)…

A: The function is  f(x)=x2-x-2

Q: Find the value of the constant (a , b, or c) that makes the function continuous.

A: the given function is: fx=x2-c          for x&lt;54x+2c      for x≥5 we have to find the value of c…

Q: Find the graph of the function f(x) = [x] + [x/2] from R to R.

A: Given function is fx=x+x2. Definition: Floor function is the greatest integer that is less than or…

Q: f(x, y) = /4 – x² – y² + V1 – x? -

A: To find the domain of the function, f(x,y)=4-x2-y2+1-x2

Q: (7) For the function f (x) = 0.25x - 2r3 Find intervals of concavity and inflection points

A: From  first derivative and second derivative of the given function we can answer to this question.

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: The critical points of the function are the points where the function is defined but its first…

Q: ,for x 1 Discuss the contuniuty of f andf'.

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Q: Determine the absolute extrema of the function f(x) (x- 4)e on the interval-1 <x<4. SHOW YOUR WORK!

A: We have given f(x) = (x – 4)ex on the interval -1 ≤ x ≤ 4.

Q: 3) Find the interval where the graph of f(x)= -2x' +3x +36x-1 is concave upward or concave downward.…

A: The given function is fx=-2x3+3x2+36x-1. Using second derivative test, the concavity as well as the…

Q: For the function f(x), defined graphically, state the value(s) of x where the function is not…

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Q: 7) Find the difference auotient. f(x+h)-f(x) for the function, f(x) = x² + 3x - 4.

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Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given function is, fx=x4+16x3+64x2+4.   a. To find the critical numbers.   First, differentiate the…

Q: lim 3i 4 +

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Q: For the function below, find a) the critical numbers, b) the open intervals where the function is…

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Q: d) For the function {: 1- a², x2, 0 1 i) Sketch the graph of f(x) ii) For what values of r, the…

A: follow next step

Q: Find the absolute maximum and minimum of the function  f(x)=xe-x on  the interval [-1,1]

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Q: Given f(x) = Vx and g(x) = |x – 2|, find 9. Determine the domain of the function in interval…

A: Given function :

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Critical points are points where the function is defined and its derivative is zero or…

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Solution:Given        f(x)=xe-3xTo find:(a)Critical Point(b)the open interval where the function is…

Q: nction​ below, find ​a) the critical​ numbers; ​b) the open intervals where the function is​…

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Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Consider the function, y=x-4ln3x-9 Differentiate the given function with respect to “x” then,…

Q: Find all the critical points for the function f(x, y) = x² + 8xy + 4y² +3. (Use symbolic notation…

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Q: 8. Determine the natural domain of the function Vx–1 f (x)= x²-3x+2 in interval notation.

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Q: 9. Given the function f (x) = 3x -4x2 + 2, use the first and second derivative tests to find: a) the…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: Use the Intermediate Value Theorem to show that the graph of f(x) = 4tan(x) – x + 1 intersects the…

A: Please note that according to guidelines only first Q is solved. Please repost the other question.

Q: 17 The function f is defined by f(x) = 5x - c, where c is a constant. In the xy-plane, the graph of…

A: Solve both the problem in the following way:- (i) given point will satisfy the function. (ii)…

Q: given the function f(x)=axln(x+b), where function is decreasing at x=1-b?

A:

Q: On the graph of f (x) = sec x and the interval [-2x, 0), for what value of x does f(x) = 1? Choose…

A: We need find value of x for which secx=1 in the interval -2π≤x&lt;0

Q: 3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d dx |x| b) Sketch the graphs of…

A: We will use the give solution as we are instructed.

Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

A: The solution of the problem is given in the next steps.

Q: (A) Find the absolute maxima and minima for x3 y = - x + 5 over 3 [-V2, v2]. (B) Use the second…

A: When on critical point f''&lt;0 then that critical point give local maximum value of f(x)  When on…

Q: Find the function f(x) given that f ′ (x) = e x + x and the graph of f passes through the point (0,…

A: Given: f'x=ex+x &amp; Px,y=0,3   As we know that; The Power rule: ∫xndx=xn+1n+1+C And…

Q: Find the value k that makes the function continuous. kx f (x) = x > 9 - -7x – 7, x < 9

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Q: Find the x-coordinate of the absolute maximum of the function f (x) = x³ – x² – x +1 on the interval…

A: Given

Q: Find the value k that makes the function continuous. Ska², f (æ) = x > 2 kx + 12, x < 2

A: Topic - continuity Function is continuous If its left hand linit is equal to right hand limit and…

Q: 4. Find the intervals of concavity for the function f(x) = e-/3. Identify any inflection points.

A: use double differentiation =0 to find inflection points and concavity

Q: 4. For each part, find a real value c that makes f continuous at x=0, if possible. If not possible,…

A: A function is continious , when at that point limit of the function exists , and thatlimit is equal…

Q: Find the critical and inflection points of the function f(x) = 4sin³x – 3cos²x

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Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

A: We have to find

Q: On the graph of f ( x ) = sec ( x ) and the interval ( -2π, 0 ], for what value(s) of x does f ( x )…

A: f(x) = 1 on, (-2π, 0] Implies, sec(x) = 1 on (-2π, 0] i.e. x = 0 on (-2π, 0] So, x = 0  The graph of…

Q: Make a sign diagram for the derivative of the rational function. 6 f(x) = x + 3 f'(x) < 0 undefined…

A: Given function, fx=6x+3