Express the function in the form f • g o h. F(0) = Vsin3 0

Q: Ax, y) = In(x +y)

A: In this question, we have to find the domain and range of f(x,y)=lnx+y As we know that the domain of…

Q: Find f-1 if f (z) = iz + 1.

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Q: Describe the long run behavior of f(x) - 2? As x → - 0o, f(x) → ? As x → 0, f(x) → ?

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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: Express the function in the form   f ° g  ° h

A: We will use the most inner function=h(x), then next one=g(x), and the outer one=f(x)

Q: Find two nontrivial functions f(x) and g(x) so f(g(x))=(−4+4x)^4 outside function f(x) = ? inside…

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Q: find all possible functions with the givenderivative. y' = √θ

A: We first separate the variables

Q: The altitude h (in m) of a certain rocket as a function of the time t (in s) after launching is…

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Q: Differentiate the function.      f(x)  =        ______1______                            In x

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Q: Select the correct answer for end behavior of the function: As a → -0, ƒ(x) → As x → 0, f (x) →

A: we have to check

Q: Find the points of discontinuity of the function f(x)={1−x2,x<0x+2,x≥0 if they exist.

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Q: Differentiate the function. h(x) In x + x² – 7

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Q: Find f'(2) if y = f(x) is the nonnegative function defined for x, y > 0 by the equation x" = y?.

A: To find f’ (2), if y = f (x).

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: f(x) = x2 -4x-2 at x = 1 %3D %3D

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

A: A function fx is continuous at x=a if its left-hand limit, right-hand limit, and fa are equal and…

Q: Find the value of a that makes the following function differentiablefor all x-values

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Q: +1 Differentiate the function f (x) = In +1

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Q: Find

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Q: Determine the global extreme values of the function on the given domain. f(x, y) = 3x³ - 7y, osx<1,…

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Q: Find the Zero and its oodex for the function flz)=1- Ti+Z+

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Q: The function f(x,y)=/26-2x²-y² is continuous at point (2,-3). .A False .B True

A: A function is continuous at a point if after putting the point in the function yields a positive…

Q: Express the function in the form   f ° g  ° h

A: The given function is Rx=x-1 It is required to show the given function in the form of fogoh. So,…

Q: Find the interval in which the function is negative. f(x) = x2 - 3x - 4 I. (- ,-1) II. (-1, 4) III.…

A: Given:   f(x) = x2 -3x - 4

Q: 3 Show that the function f(x) = Vx – 5 is one to one function. %3D

A: The objectives to show that the function f(x) is one to one function.

Q: Find the length of the are of the function x² = 4y from x = -3 to x = 3.

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Q: (2022) , find feua (0) (1-x3 2x given f(x) 2

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Q: 4. Consider the functions g(x) = and . Determine (12)- (}),

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Q: Consider the function f(x) = z + 6

A: Givenf(x)=1x+6

Q: Determine where the function f(x) is continuous. f(x) = /2-x

A: We have to determine where th function f(x)=(2-x)^(1/3) is continuous

Q: X- e.

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Q: Find the domain of the function. Express the exact answer using interval notation. f(x) = To enter…

A: Consider the function  f(x)=25x+8

Q: III. Verify if the function is continous at the point. 1. f(x) = x³ – 2x² + x – 5 at x = 0

A: f(x) is continuous at x=0 if- limx→0-f(x)=limx→0+f(x)=f(0)

Q: Describe the domain of the function f(x, y) = ln(4 x - Y).

A: as per guideline i am answering one question .please give a like !

Q: 5. * y = ( In æ)²

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Q: Find a function f(x), such that f"(x) = 3sin(4x). %3D

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Q: Differentiate the function. h(x) = In(x + V - 12

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Q: Differentiate the function. g(x) = In(xe-Sx)

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Q: Consider the function f(x) = i + x². How does this function essentially behave for large positive…

A: The Given Function f(x) contains rational function x/(x2+1) and polynomial function function…

Q: Q3. Determine whether the function is continuous at x=1 or not (x² - 1 x = 1 f(x)=x-1 2, x = 1

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Q: Differentiate the function. f(x)  = In 1/x

A: Given: The function fx=ln1x, To find: The differentiation of given function.

Q: Find the lineearization L(x) of the function f(x) = x^3/4 at x = 16.

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Q: Find the domain of the function using interval notation. f(x) = -2x (1- 1) (r – 7) To enter oo, type…

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Q: ] B4(a): Verify Mean value theorem for the function f(x) = 3x³3+x + 2 over the interval (0, 1].

A: Use Lagrange mean value theorem

Q: Use the given graph of the function to find the x-values for which f is differentiable. not 1,0

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

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Q: find the derviative of the function in the picture  show all work

A: Here, we use the chain rule of derivative that derivative of (f(x))^n is n[f(x))^(n-1)]f'(x) and…

Q: Find the domain of the function using interval notation. f (x) = -2a (x – 3) (x – 5) | | To enter…

A: soution:-f(x)=-2x(x-3)(x-5)To find the domin of f(x)The domain of a function is the set of all…

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

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