QI/Find the domain and range for the following functions: a) y = -2 +J(1 - x). b) y = |x| – 2.

Q: Determine the point on f(x)= 2xe^x where the tangent is parallel to the line y= 2x-12

A: Given, f(x) = 2xex And line : y = 2x-12

Q: Let f (x, y) = 1 5+√x²+y²-1 Then range of f is:

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Q: (a) Find the equation of the tangent line to the graph of the function f(x) = 3x² at the point (-2,…

A: (a)   Differentiate the function with respect to x is,   Substitute -2 for x in the above equation.

Q: Where is f(x)= x³ differentiable? (interval)

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Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.)…

A: The given function is (x-1)25. We have to find out the value of x, where the given function is not…

Q: Let f(r, y) = - 4

A: This is a problem related to function calculation. Based on the formula and concept we will find the…

Q: Find and sketch the domain of f(x, y) = /9-x²-y² Vy²–1 What is the range of f ?

A: Given function is  fx,y=9-x2-y2y2-1 The graph of given function is

Q: Is it possible for a function to satisfy f(x) > 0, f′(x) > 0, andf ″(x) < 0 on an interval?…

A: We want function that is: 1. positive on interval I since fx>0   2. increasing on interval I…

Q: 3x2 tan x If f(x) sec x

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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: f(r) = 2r² - e² %3D

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Q: Excrcise 1. Find the derivative y', where (3 – x) 3 Y = 1- x \ (3+ x)²

A: Given,        y=x21-x3-x3+x23

Q: Determine the range of f(x,y)=tan 2+x +y

A: Here the value of x2+x2+y3 can vary from -∞ to ∞. The possible values of tan-1x2+x2+y3 is…

Q: Consider the function f(x) = x³ + x2 - x + 5 on the interval [-3, 0]. Find f'(x). f'(x) =

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Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) Sx²…

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Q: Let f (x, y) and g(x, y) be functions of two variables withthe property that ∂ f/∂x= ∂g/∂x and ∂…

A: Given: f(x, y)  and g(x, y) be functions of two variables with the property that ∂g∂x = ∂g∂x and…

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

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Q: At which ordered pair will the function f(x) = v-x - 2 – 2 begin on the coordinate plane? %3D ([?],…

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Q: Describe the domain and range of the function  f(x,y)=arccos (y/x)

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Q: A car's movement is represented by the function 2x3 + 6x2 + 2x + 3 in kilometers reco at an hourly…

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Q: The range of f(x)= cosx is: *

A: Cosx is a trigonometric function with period 2π.

Q: if cosh(x)=41/40 and x > 0, find the other hyperbolic functions of x

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Q: what is the absolute extrema of the function: f(x)=cot x - 2x;  [1,2]

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Q: 9, etermine whether the equation y%D - x defines y as a function of x.

A: Yes, because for any input x, the equation yields only one output y.

Q: Find and sketch the domain of f(x, y) = 9-x2-y2 Vy2-1 %3D What is the range of f?

A: We have to find the points where the function is defined.

Q: Using the definition f'ex) = li fCxth) -fcx) find f'(x) when fex)

A: Here we have to find f'(x) using definition.

Q: Describe the x-values at which f is differentiable.

A: Definition used -                       A function f(x) is differentiable at any point -…

Q: What is the domain and the range of y = sec x?

A: y=sec x or y=1cos x∴ sec x is undefined at cos x=0cos nπ+π2=0   ∴ x≠ nπ+π2 Thus, the domain of the…

Q: Let f(x) = /90 – x and g(x) Then the domain of fogis equal to a, b for = x? r. %3D - - and %3D

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Q: Find f'(x). f(x) = ex – 2x f'(x) = e-2 %3D Compare the graphs of f and f' and use them to explain…

A: Given  f(x)=ex-2x

Q: Differentiate the function. f(x) = (tan x)3×

A: As per bartleby policy we are supposed to answer only 1 question per post. This post contains 2…

Q: Determine f ″ ( x ) for f(x) = sec x

A: Given function: fx=secx

Q: ii) h(x) = e values for the functions along the interva

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Q: | Compute the value of f(0) when f(x) = |æ|. Explain why f cannot b (iii) 1 f.

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Q: Q2: (20 mark) a) Differentiate the function f(x) = tanx -1 secx

A: We can solve this problem using quatiant rule of derivative.

Q: Does the Mean Value Theorem apply to f(x) = |x – 7| on the interval [1, 9]? Explain.

A: No

Q: Which derivative of f tells us whether the function is increasing or decreasing?What do we check to…

A: Given function ,  f(x) = ln ( x2 + 2x + 5)  Find interval of increasing and decreasing .

Q: ind an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Given

Q: I need to let the function f be defined by y=f(x), where x and f(x) are real numbers. Will you…

A: We have to plug x=k2-1 in the given equation.

Q: Describe the domain and range of the function f(x,y) sin(y/x).

A: Note- Multiple questions are asked, I am answering the first question is chronological order. Please…

Q: What is the range of y = sec(x)?

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Q: Find and sketch the domain of the (real-valued) function f (x, y) = sin(Vx2 – y). Find its range…

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Q: What is the range of the function y = 5 sin(0+ 60°) - 4? O -60° ≤ y ≤ 60° O-9≤ y ≤ 1 O-4≤ y ≤9 O-1 ≤…

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Q: 4. Differentiate the function Y = (tan x)*

A: We have to find the derivative of (tanx)^x

Q: point(s) on the graph of f where the tangent f(x) = %3D x² + 25 x-value (x, y) %3D

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Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) Sx²…

A: Let , the given functionThe given functionfx=x2-6 , x≤06-x2 , x >0We have to find the x-values…

Q: What is the domain of the function f(x) = |x|? 0 (-∞,∞) ○ (0,∞) 0 (-∞,0) ○ [0, ∞)

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Q: Find the interval on which f(x) =x°e is concave upward.

A: The answer to the following question is option (e) i.e (0,1)

Q: Express the function in the form f◦g. f(x)=sec(x2)tan(x2).

A:

Q: Express the given quantity as a function f(x) of one variable x. The product of two numbers x and y…

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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.